Quasiclassical electron transport in topological Weyl semimetals

Azaz Ahmad

REVIEW 3 major objections 4 minor 190 references

Quasiclassical electron transport in topological Weyl semimetals

T0 review · 3 major / 4 minor · reviewed 2026-08-07 · deepseek-v4-flash

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Pith's one-line read A smooth lattice cutoff to the Weyl dispersion can flip the sign of longitudinal magnetoconductance on its own.

desk verdict A transparent compilation of the author's published PRB work; the abstract's headline claim — negative LMC at vanishing intervalley scattering — is undermined by the absence of a steady state at α_i=0, though the strain and pseudospin-1 chapters add real value. read the letter →

arxiv 2506.12120 v1 pith:E7Y6HFAD submitted 2025-06-13 cond-mat.mes-hall

Azaz Ahmad This is my paper · ORCID

classification cond-mat.mes-hall

keywords WeylsemimetalschiralanomalylongitudinalmagnetoconductanceplanarHalleffectorbitalmagneticmomentintervalleyscatteringlatticeregularizationBoltzmanntransport

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

Weyl semimetals host electron quasiparticles that behave like massless chiral fermions, and the chiral anomaly (non-conservation of left- and right-handed charge in parallel electric and magnetic fields) is typically read from the longitudinal magnetoconductance, or LMC: how conductance changes along the applied fields. The thesis argues that a smooth lattice cutoff to the linear Weyl dispersion, present in every real Weyl material, introduces nonlinearity that can make LMC negative for weak non-collinear fields even when intervalley scattering is completely absent. If true, negative LMC by itself does not establish that electrons scatter between valleys, complicating the standard diagnostic of the chiral anomaly. The mechanism is carried by the orbital magnetic moment: its magnetic-field energy shift must be included for the sign change to occur, and lattice effects lower the intervalley-scattering threshold needed for sign reversal. The same transport formalism is then used to map phase diagrams for tilted cones, strain-induced axial fields, planar Hall conductance, nonlinear Hall response, and pseudospin-1 fermions.

What carries the argument

The load-bearing object is the lattice-regularized Weyl Hamiltonian $H_k = \chi E_0 \sin(ak\,\boldsymbol{\sigma}\cdot\hat{k}) + T_x \sin(ak_x) + T_z \sin(ak_z)$, whose sine dispersion gives a smooth (not hard) ultraviolet cutoff: bands flatten at the Brillouin-zone corners while Berry curvature and orbital magnetic moment remain exactly solvable at all energies. Transport is treated by the quasiclassical Boltzmann equation with momentum-dependent intra- and intervalley scattering rates built from Weyl-spinor overlaps, solved with an eight-parameter ansatz for the distribution function plus the global charge-conservation constraint. This machinery lets the authors isolate lattice effects from tilt, follow the zero-LMC contour in the $(E_F, \alpha_i, \gamma)$ plane, and extend the calculation to strain-induced axial fields, nonlinear transport, and pseudospin-1 fermions.

What would settle it

In an untilted lattice Weyl model with $\mathbf{E}$ at a small angle to $\mathbf{B}$, set intervalley scattering to zero and push the Fermi energy toward the band edge; if the quadratic coefficient $\sigma_{zz2}$ remains positive for all non-collinear angles and all Fermi energies below the band edge, the central claim is falsified.

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Extended reading notes

Core claim

The paper's central claim is that nonlinear lattice effects, not intervalley scattering, can be the sole cause of negative longitudinal magnetoconductance in Weyl semimetals at weak magnetic fields. In the lattice model with a smooth cutoff, the dispersion is $\sin(ak)$ rather than $ak$, so it flattens near the Brillouin-zone edge; this nonlinearity alone pushes the quadratic LMC coefficient $\sigma_{zz2}$ negative above a Fermi-energy threshold when the electric and magnetic fields are non-collinear, and it lowers the intervalley-scattering threshold $\alpha_i^c$ when scattering is present. A necessary ingredient is the orbital magnetic moment (OMM): the energy shift $\varepsilon_k \to \varepsilon_k - \mathbf{m}_k \cdot \mathbf{B}$ must be included, exactly as in Eq. (2.18), to obtain negative LMC in the zero-intervalley-scattering limit. The thesis concludes that observing negative LMC for weak magnetic fields does not by itself establish finite intervalley scattering, and it maps zero-LMC contours in Fermi-energy/angle and tilt/scattering spaces to help separate the mechanisms.

Load-bearing premise

The negative-LMC result depends on the orbital magnetic moment's magnetic-field energy shift being included exactly as in Eq. (2.18); if that OMM shift is inaccurate, the predicted sign change fails even though the lattice dispersion is unchanged.

Editorial extensions

If this is right

Negative LMC at weak fields no longer serves as standalone evidence of intervalley scattering; the zero-LMC contour in Fermi-energy, scattering-strength, and field-angle space is required for a chiral-anomaly diagnosis.
In tilted Weyl cones, tilt and intervalley scattering combine to produce linear-in-$B$ LMC components, with phase-diagram shapes that depend on whether the cones tilt along or across the magnetic field.
A strain-induced axial field $B_5$ produces 'strong sign-reversal' (reversed LMC parabola) even without an external field, and combining $B_5$ with $B$ yields both weak and strong sign-reversals.
For the nonlinear Hall response, Weyl semimetals show nonmonotonic tilt dependence and strong sign-reversal with internode scattering, while spin-orbit coupled noncentrosymmetric metals show a consistently negative, quadratic-in-$B$, OMM-dominated response.
Pseudospin-1 fermions switch from positive quadratic to negative LMC at a lower critical internode scattering strength than Weyl fermions.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

Beyond the paper, this implies that clean samples with Fermi energy near the band edge and fields slightly off parallel should show negative LMC from the lattice alone; varying $E_F$ by doping while holding scattering fixed could separate the two mechanisms experimentally.
The strain results imply that inhomogeneous strain alone could reproduce chiral-anomaly-looking transport signatures, so extracting the parabola vertex $B_0$ and offset $\sigma^{(0)}_{zz}$ may be a practical way to isolate strain from intervalley-scattering effects.
The WSM-versus-SOC-metal contrast in nonlinear Hall response suggests a material-class fingerprint: tilt-sensitive sign reversal in Weyl systems versus OMM-dominated negative quadratic response in spin-orbit coupled metals.
The lower critical scattering threshold in pseudospin-1 systems is a testable prediction that could make multifold fermion materials the most sensitive platform for observing these sign changes.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

First, what to know: this is not a new research preprint. It is a PhD thesis, and it says so plainly — Chapters 2, 3, and 4 are the author's own Physical Review B papers (2021, 2023, 2025), and Chapter 1 is a published review. Chapter 5, on pseudospin-1 fermions, is the material that does not carry an explicit prior-publication statement, so treat it as the candidate new contribution.

What the thesis does well: the formalism is the standard momentum-dependent Boltzmann treatment with global charge conservation, applied to a lattice model that gives closed-form Berry curvature and orbital magnetic moment, which is convenient. The strain chapters introduce a useful distinction between weak sign reversal (a shifted parabola) and strong sign reversal (a flipped one), and the claim that strain-induced axial fields produce a strong sign reversal on their own is concrete and testable. The thesis also explicitly acknowledges that the uniform-strain idealization is unrealistic, which I appreciate, and it gives an honest account of where its content was published.

Now the soft spot, and it sits in the headline. The abstract and Sec. 2.5 claim that a smooth lattice cutoff drives negative LMC "even with vanishing intervalley scattering." The stress-test is right: at α_i = 0 the collision integral contains only intranode scattering, which conserves particle number at each node separately. The per-node chiral source is nonzero for non-collinear fields, so the steady-state Boltzmann equation has no solution; the global charge conservation condition (Eq. 2.17) fixes the sum of the node-wise constant modes but not their difference. The finite σzz plotted at α_i = 0 in Fig. 2.2(c) is therefore regularization-dependent. Note this is independent of the orbital magnetic moment — so I would redirect the reader's "weakest assumption" from Eq. (2.18) to the missing steady state. The thesis's own Chapter 1 flags the related constant-relaxation-time/charge-conservation subtlety, so the authors know this class of problem; the published PRB version likely deserves the same scrutiny. The finite-α_i phase diagrams and the strain results are computed with a real chiral relaxation channel, so they are not affected by this objection.

No code or data ships, so the numerics are not independently checkable. Who gets value: people working on chiral-anomaly transport diagnostics who want the phase diagrams and the pseudospin-1 extension in one place. It deserves a serious referee, mainly to pin down the α_i=0 limit and to vet Chapter 5.

Referee Report

3 major / 4 minor

Summary. The thesis develops a quasiclassical Boltzmann transport theory for Weyl semimetals, incorporating a lattice-regularized dispersion with a smooth ultraviolet cutoff, orbital magnetic moment effects, momentum-dependent intranode and internode scattering, and global charge conservation. It claims that lattice-induced nonlinearity alone can drive negative longitudinal magnetoconductance (LMC) for weak non-collinear fields even in the limit of vanishing intervalley scattering, and it maps phase diagrams for LMC and planar Hall conductance as functions of Fermi energy, tilt, intervalley scattering strength, and strain-induced axial fields. The thesis further analyzes strain-induced 'strong' and 'weak' sign reversals, presents a theory of the chiral-anomaly-induced nonlinear Hall effect, and extends the analysis to pseudospin-1 fermions.

Significance. If the central claim were correct, the thesis would provide an experimentally relevant new mechanism for negative LMC in Weyl semimetals, complicating the standard interpretation that negative LMC at weak fields implies finite intervalley scattering. The work is largely built on standard Boltzmann formalism, supplies semi-analytic expressions for Berry curvature and orbital magnetic moment, and produces numerous falsifiable phase diagrams. However, the central alpha_i -> 0 claim is undermined by a steady-state inconsistency, so the significance is conditional on the authors' ability to define the limit properly.

major comments (3)

[Sec. 2.3, Eqs. (2.9)-(2.17), and Fig. 2.2(c)] At alpha_i = 0 the collision integral in Eq. (2.5) contains only intranode scattering, so particle number is conserved separately at each Weyl node. The steady-state Boltzmann equation (2.13) can have a solution only if the driving term is orthogonal to this two-dimensional null space, i.e., if the per-node source S_chi = integral d^3k D_chi [v^chi_z + (eB/hbar) sin(gamma) (Omega^chi . v^chi)] (-df_0/depsilon) vanishes for each chi. With the lattice Berry curvature Omega^chi = -chi k/2k^3 and a radial velocity, S_chi is proportional to chi B sin(gamma), which is nonzero for gamma != 0 (non-collinear fields). Thus no time-independent solution exists at exact alpha_i = 0 for E.B != 0. Imposing only global charge conservation, Eq. (2.17), leaves the relative chiral charges undetermined and cannot repair the missing per-node conservation law. The finite quadratic LMC coefficient shown in Fig. 2.2(c) for alpha_i -> 0 is therefore not a well-defined bulk DC response; it may depend on an arbitrary regularization (boundary conditions, a small intervalley rate taken to zero after solving, or the numerical grid). This concern is independent of whether the OMM expression in Eq. (2.18) is quantitatively correct.
[Sec. 2.4.1 and Fig. 2.2] The manuscript does not document the numerical solution of the coupled integral equations, nor does it provide convergence tests, grid densities, or code. Because the alpha_i = 0 linear system is singular (see the previous comment), the reported values of sigma_zz2 in the alpha_i -> 0 limit are not reproducible; one needs to know exactly how the singular limit was handled, for example, via a pseudo-inverse, a small but nonzero alpha_i with extrapolation, or a specific ordering of the alpha_i -> 0 and B -> 0 limits. Without this information, the central quantitative claim cannot be verified.
[Abstract and Sec. 2.5] The statements that lattice nonlinearity drives negative LMC 'even with vanishing intervalley scattering' and 'irrespective of the presence or absence of intervalley scattering' overstate what the formalism can support. The physically well-defined statement would be that negative LMC persists for arbitrarily small but nonzero intervalley scattering, provided a proper regularized limit is used; the exact zero-intervalley-scattering point is singular for non-collinear fields. The manuscript should either provide a careful regularized limit or soften the claim.

minor comments (4)

[Ch. 3 title, p. 51] The opening line of Chapter 3 repeats the title of Chapter 2 ('... lattice model of tilted Weyl fermions') instead of the correct chapter title about inhomogeneous Weyl semimetals; this appears to be a copy-paste error.
[Sec. 2.4.5] The text refers to 'Appendix E' for the multi-node Boltzmann calculation, but the appendices are numbered A through C; the cross-reference should be corrected to the appropriate appendix (likely Appendix A.5).
[Eqs. (2.19)-(2.20)] The expressions for the band velocities in the lattice model are typeset in a garbled way, with fractional terms running together, which makes them difficult to check; they should be re-set for clarity.
[Fig. 2.2(c) caption] The caption says 'limit of vanishing intervalley scattering strength alpha_i' but the plot appears to be at alpha_i = 0; the distinction between alpha_i = 0 and the limit alpha_i -> 0 is precisely what matters for the steady-state issue raised in the major comments and should be stated unambiguously.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the transport predictions are computed from the stated lattice/Boltzmann models rather than being equivalent to their inputs.

full rationale

The paper's derivation chain is self-contained. The Boltzmann equation with momentum-dependent Born scattering (Eqs. 2.3–2.17), the lattice dispersion (Eq. 2.1), the Berry curvature and orbital magnetic moment, and the global charge-conservation constraint are all stated as model inputs, and the longitudinal magnetoconductance, planar Hall conductance, and nonlinear Hall conductivities are evaluated from these equations rather than imported from fits to experimental data. The OMM and lattice dispersion are fixed model ingredients, not parameters tuned to produce the reported sign changes; the statement that OMM is 'crucial' identifies a physical mechanism, not a circular definition. Self-citations such as Ref. [65] support the formalism, but the thesis re-derives the collision integral and conservation constraints, so the citations are not load-bearing substitutions for derivation. The weak/strong sign-reversal terminology is a post-hoc classification of computed curves (e.g., Eq. 3.3) and does not constitute a fitted parameter renamed as a prediction. The reviewer concern about the α_i → 0 steady-state limit being ill-defined is a mathematical consistency question, not an instance of a prediction being equivalent to its inputs by construction, and therefore does not raise the circularity score.

Assumptions & free parameters 4 free parameters · 5 assumptions · 0 invented entities

The central claims are computed within a chosen model, not derived from first principles against external data. The key inputs are the sin-dispersion lattice Hamiltonian, the OMM expression, the Born scattering model, and the uniform-strain idealization. No new entities are postulated.

free parameters (4)

Fermi energy E_F
Scanned over 0 to 0.8 E0 in Fig. 2.2 to probe lattice nonlinearity; not fitted to external data.
Intervalley scattering strength alpha_i
Scanned from 0 to 2; central control parameter for LMC sign reversal throughout Chapters 2 and 3.
Tilt parameters t_x, t_z
Scanned from -0.8 to 0.8; model inputs that create asymmetric Fermi surfaces and drive linear-in-B LMC contributions.
Strain-induced axial field B5
Scanned from 0 to 0.2 T in Chapter 3; represents an idealized homogeneous strain, acknowledged as a simplification.

assumptions (5)

ad hoc to paper The prototype lattice Hamiltonian H_k = chi E0 sin(ak . sigma) + tilt terms captures the essential nonlinearity of real Weyl materials.
Introduced in Sec. 2.3, Eq. (2.1), with p=q=r=sin; no derivation from a specific material band structure.
domain assumption Quasiclassical Boltzmann equations with Berry curvature and orbital magnetic moment are valid for the parameter range studied.
Used throughout; validity requires mu^2 >> hbar v_F^2 eB as stated in Sec. 2.3.
domain assumption Scattering is described by the first Born approximation with non-magnetic point-like impurities and momentum-independent matrix elements U^{chi chi'}.
Eq. (2.6) and surrounding text; this fixes the angular dependence of the collision integral.
standard math Global charge conservation supplies the final constraint on the ansatz for the distribution function.
Eq. (2.17); needed to close the system of eight equations for two nodes.
domain assumption Strain produces a homogeneous axial magnetic field B5 coupling oppositely to the two chiralities.
Chapter 3, Sec. 3.3; acknowledged in Sec. 3.5 to be an idealization of non-uniform strain.

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Cite this review

Pith. "Pith review of Quasiclassical electron transport in topological Weyl semimetals." pith.science (2026). https://pith.science/paper/E7Y6HFAD

@misc{pith2026250612120,
  author       = {Pith},
  title        = {Pith review of: Quasiclassical electron transport in topological Weyl semimetals},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/E7Y6HFAD}},
  note         = {Machine review of arXiv:2506.12120}
}

read the original abstract

Weyl fermions are powerful yet simple entities that connect geometry, topology, and physics. While their existence as fundamental particles is still uncertain, growing evidence shows they emerge as quasiparticles in special materials called Weyl semimetals (WSMs). These materials possess unique electronic properties and hold promise for future technologies. This thesis investigates how electrons behave in WSMs, focusing on the chiral anomaly (CA). The CA remains central in condensed matter physics, typically observed via longitudinal magnetoconductance (LMC) and the planar Hall effect (PHE). Although finite intervalley scattering can reverse the LMC sign, we identify another mechanism: a smooth cutoff in the linear dispersion, inherent to real Weyl materials, introduces nonlinearity that causes negative LMC even without intervalley scattering. Using a lattice model of tilted Weyl fermions and the Boltzmann approximation, we explore LMC and PHE, mapping phase diagrams in key parameter spaces. We also study the effects of strain, which acts as an axial magnetic field and influences diffusive transport. Our results show that strain-induced gauge fields can cause a strong LMC sign-reversal, unlike external fields which need intervalley scattering. The interplay of strain and external fields produces rich LMC behavior. We further predict distinct PHE responses due to strain. Finally, we extend the study to nonlinear transport, developing a theory for the chiral anomaly-induced nonlinear Hall effect (CNLHE). In Weyl semimetals, the nonlinear Hall conductivity shows nonmonotonic behavior and strong sign-reversal with scattering. In contrast, spin-orbit coupled metals show consistently negative, quadratic responses. We also explore pseudospin-1 fermions, finding enhanced sensitivity to internode scattering, revealing new transport signatures and broadening the scope of chiral anomaly studies.

Figures

Figures reproduced from arXiv: 2506.12120 by the authors.

**Figure 1.1.** Geometry of different surfaces can be characterized by their curvature [PITH_FULL_IMAGE:figures/full_fig_p033_1_1.png] view at source ↗

**Figure 1.2.** (a) Homeomorphism stretches a sphere to a spheroid but preserves the total curvature. [PITH_FULL_IMAGE:figures/full_fig_p034_1_2.png] view at source ↗

**Figure 1.3.** (a) Eigenstates of the Hamiltonian Hk (eigenframe) in Eq. 1.8 represented by the orthogonal red and blue arrows. (b) Evolving the eigenframe in the direction of the dotted arrow by varying the parameter θ from zero to 2π rotates it by π. Figure adapted from Ref. [1]. Hamiltonian are Ek = ±k and the eigenstates are |n⟩ + = (cos(θ/2)e −iφ ,sin(θ/2))T , |n⟩ − = (sin(θ/2)e −iφ ,−cos(θ/2))T , where θ is the polar angle (… view at source ↗

Figures from the paper (49 more)

**Figure 1.4.** Figure 1.4: Schematic diagram to show the Berry curvature field lines in momentum space for kz = 0. The red and green regions correspond to two points having opposite chirality. Here, a is the lattice constant of the system. Figure adapted from Ref. [1]. by 2π as θ rotates by…

**Figure 1.5.** Figure 1.5: (a) Degenerate points in d = 1 correspond to three functions intersecting at two points K and K ′ . (b) When d = 2, this condition is modified to three intersecting curves on a plane. (c) When d = 3, the condition modifies to three intersecting surfaces meeting at tw…

**Figure 1.6.** Figure 1.6: (a) Schematic illustration of the experimental setup to measure different conductivity [PITH_FULL_IMAGE:figures/full_fig_p041_1_6.png]

**Figure 1.7.** Figure 1.7: Diagrammatic depiction of the classical route of a Bloch electron wavepacket in the phase space, which is governed by the classical equations of motion i.e., Eq. 1.22. The position is indicated by the blue arrow and can be expressed as the coordinate (r,k). The direc…

**Figure 2.1.** Figure 2.1: Schematic of the presentation of results in Section [PITH_FULL_IMAGE:figures/full_fig_p063_2_1.png]

**Figure 2.2.** Figure 2.2: (a)-(b) Phase plot of the quadratic coefficient of the longitudinal magnetoconductance [PITH_FULL_IMAGE:figures/full_fig_p065_2_2.png]

**Figure 2.3.** Figure 2.3: The quadratic coefficient of LMC is plotted as a function of αi and t 1 z when the Weyl cones are tilted in the direction of the magnetic field (zˆ) axis, and are oriented in the same direction to each other (t 1 z = t −1 z ). The sign of the coefficient also corres…

**Figure 2.4.** Figure 2.4: The sign of longitudinal magnetoconductance for non-collinear fields as a function of intervalley scattering strength and tilt parameter, when the cones are tilted along the same direction parallel to the zaxis. of vanishing intervalley scattering strength αi . Thi…

**Figure 2.5.** Figure 2.5: (a) and (b) Linear (σzz1) and quadratic (σzz2) coefficient of the LMC when the Weyl cones are titled in the direction of the magnetic field (zˆ) axis, but are oriented opposite to each other (t 1 z = −t −1 z ). Below αi ∼ 0.05, the coefficients are similar in magnitu…

**Figure 2.6.** Figure 2.6: Longitudinal magnetoconductance σzz(B) in the case when the Weyl cones are tilted in the direction of the magnetic field (zˆ) axis, but are oriented opposite to each other (t 1 z = −t −1 z ). (a) LMC as a function of magnetic field for various tilt parameters in the …

**Figure 2.7.** Figure 2.7: Longitudinal magnetoconductance σzz(B) in the case when the Weyl cones are titled in the direction of the magnetic field (zˆ) axis, and are oriented in the same direction to each other (t 1 z = t −1 z ). LMC switches sign with the inclusion of αi whenever αi > α c i …

**Figure 2.8.** Figure 2.8: LMC for non-collinear electric and magnetic fields when the Weyl cones are tilted along the x-axis and oppositely oriented to each other. A finite tilt is noted to result in a small linear-in-B contribution that enhances in the presence of intervalley scattering. T…

**Figure 2.9.** Figure 2.9: The sign of longitudinal magnetoconductance for non-collinear fields as a function of intervalley scattering strength and tilt parameter, when the cones are tilted along the same direction parallel to the xaxis. -0.05 0 0.05 e7hBv 2 F =2E2 F 0 0.2 0.4 0.6 0.8 1 < 0…

**Figure 2.10.** Figure 2.10: Normalized planar Hall conductivity σ ′ xz (prime indicating that the value is normalized with respect to the value at 0.5T) as a function of the magnetic field for different values of the tilt parameter t χ z (oppositely tilted Weyl cones) and at angles γ. A finite…

**Figure 2.11.** Figure 2.11: Normalized planar Hall conductivity σ ′ xz (prime indicating that the value is normalized with respect to the value at 0.5T) as a function of the magnetic field for different values of the tilt parameter t χ z (oppositely tilted Weyl cones) and at angles γ. A finite…

**Figure 2.12.** Figure 2.12: Normalized planar Hall conductivity σ ′ xz for oppositely tilted Weyl fermions along the x direction (prime indicates normalization w.r.t. magnetic field at 0.5T). In the absence of intervalley scattering, a small tilt adds a linear-in-B component. -0.02 0 0.02 e7hB…

**Figure 2.13.** Figure 2.13: Normalized planar Hall conductivity σ ′ xz for oppositely tilted Weyl fermions along the kx direction (prime indicates normalization w.r.t. magnetic field at 0.5T). In the presence of intervalley scattering strength, the linear-in-B component is enhanced, but only i…

**Figure 2.14.** Figure 2.14: Model for an inversion asymmetric Weyl semimetal with tilted Weyl cones. The colors [PITH_FULL_IMAGE:figures/full_fig_p075_2_14.png]

**Figure 2.15.** Figure 2.15: LMC for inversion symmetry broken WSM presented in Eq. [PITH_FULL_IMAGE:figures/full_fig_p075_2_15.png]

**Figure 3.1.** Figure 3.1: Change in LMC (δ σzz(B)) with respect to the magnetic field for a minimal model of untilted TR broken WSM (Eq. 3.2). (a) Weak intervalley scattering (α < αc), and (b) strong (and weak) intervalley scattering (α > αc). As we move from blue to the green curve in both t…

**Figure 3.2.** Figure 3.2: (a) The vertex of the parabola B0, and (b) conductivity at B0 for a minimal model of untilted TR broken WSM (Eq. 3.2). Around the blue dashed contour (α = αc) we see ‘strong’ sign-reversal. The parameters B0 and σ (0) zz show a striking change of sign as we move acro…

**Figure 3.3.** Figure 3.3: Longitudinal magnetoconductivity for a minimal model of TR broken untilted Weyl [PITH_FULL_IMAGE:figures/full_fig_p087_3_3.png]

**Figure 3.4.** Figure 3.4: Planar Hall conductivity for a minimal model of untilted TR broken WSM in the [PITH_FULL_IMAGE:figures/full_fig_p090_3_4.png]

**Figure 3.5.** Figure 3.5: Planar Hall conductivity for a minimal model of untilted TR broken WSM. (a) PHC as [PITH_FULL_IMAGE:figures/full_fig_p091_3_5.png]

**Figure 3.6.** Figure 3.6: Inverse of planar Hall conductance for a minimal model of untilted WSM as a function [PITH_FULL_IMAGE:figures/full_fig_p091_3_6.png]

**Figure 3.7.** Figure 3.7: LMC for a tilted TR broken WSM (Eq. 3.5) with t 1 z = −t (−1) z . (a) When B5 = 0.1T. (b) When B5 = −0.1T. The inset in both figures is for the case when α = 1.2 > αc, while in the main figures α = 0.2 < αc. As we move from blue to the green curve in both the plots, …

**Figure 3.8.** Figure 3.8: LMC for a tilted TR broken WSM when the tilts are oriented in the same direction. [PITH_FULL_IMAGE:figures/full_fig_p093_3_8.png]

**Figure 3.9.** Figure 3.9: (a) The quadratic coefficient of the longitudinal magnetoconductivity [PITH_FULL_IMAGE:figures/full_fig_p094_3_9.png]

**Figure 3.10.** Figure 3.10: LMC parameters for tilted TR broken WSMs. The center of the parabola [PITH_FULL_IMAGE:figures/full_fig_p094_3_10.png]

**Figure 3.11.** Figure 3.11: (a) The planar Hall conductance in TR broken tilted WSM as a function of the angle [PITH_FULL_IMAGE:figures/full_fig_p095_3_11.png]

**Figure 3.12.** Figure 3.12: Change in the magnitude of the planar Hall conductivity ( [PITH_FULL_IMAGE:figures/full_fig_p096_3_12.png]

**Figure 3.13.** Figure 3.13: (a) Schematic of Weyl nodes in a prototype model of an inversion asymmetric Weyl [PITH_FULL_IMAGE:figures/full_fig_p096_3_13.png]

**Figure 3.14.** Figure 3.14: LMC for inversion asymmetric Weyl semimetal in the presence of strain induced chiral [PITH_FULL_IMAGE:figures/full_fig_p096_3_14.png]

**Figure 3.15.** Figure 3.15: The parameters B0 (a) and σ (0) (b) for inversion asymmetric Weyl semimetals (Eq. 3.6). We have fixed α12 = 0.3, B5 = 0.1T. Weak sign reversal is not observed and strong sign-reversal occurs at α14 = α14c(tz) [PITH_FULL_IMAGE:figures/full_fig_p097_3_15.png]

**Figure 3.16.** Figure 3.16: (a) LMC for inversion asymmetric Weyl semimetal. As we move from the blue to [PITH_FULL_IMAGE:figures/full_fig_p097_3_16.png]

**Figure 3.17.** Figure 3.17: Planar Hall conductance for inversion asymmetric Weyl semimetal. (a) PHC as [PITH_FULL_IMAGE:figures/full_fig_p097_3_17.png]

**Figure 4.1.** Figure 4.1: A schematic representation of weak-sign-reversal and strong-sign-reversal of conduc [PITH_FULL_IMAGE:figures/full_fig_p116_4_1.png]

**Figure 4.2.** Figure 4.2: (a) Cross-sectional views of Fermi surface of a WSM at a constant [PITH_FULL_IMAGE:figures/full_fig_p117_4_2.png]

**Figure 4.3.** Figure 4.3: CNLH conductivity σyzz as a function of magnetic field B for untitled Weyl nodes with chiralities χ = ±1. In this particular case J χ,CNLH ∝ −χB 2 for α ≤ αc (where αc is the critical value above which sign reversal occurs). The magnitude of J χ,CNLH is the same at …

**Figure 4.4.** Figure 4.4: (a) CNLH conductivity σyzz as a function of the relative intervalley scattering strength α and the Weyl cone tilt along x-direction (tx), for a constant value of magnetic field. Regions of positive and negative magnetoconductivity are separated by black dashed contou…

**Figure 4.5.** Figure 4.5: (a) CNLH conductivity σyzz as a function of tx in WSMs at different values of α. The red arrow shows the increment of α from 0.05 to 1.00. It is evident that σyzz is linear and monotonic only for small values of α and tx. Increasing α leads to sign-reversal of the co…

**Figure 4.6.** Figure 4.6: (a) CNLH conductivity as a function of tx and γ for a constant value of α. (b) CNLH conductivity as a function of γ and α for two different values of the tilt parameter tx. The white dashed contour separates the region of positive and negative conductivity. We note t…

**Figure 4.7.** Figure 4.7: (a) CNLH conductivity σyzz as a function of the relative intervalley scattering strength α and the Weyl cone tilt along z-direction (tz), for a constant value of magnetic field (B = 0.50 T). Unlike [PITH_FULL_IMAGE:figures/full_fig_p121_4_7.png]

**Figure 4.8.** Figure 4.8: The anomalous nonlinear Hall conductivity as a function of the strain-induced magnetic [PITH_FULL_IMAGE:figures/full_fig_p122_4_8.png]

**Figure 4.9.** Figure 4.9: Schematic illustration of the origin of CNLH in SOC-NCMs. (a) Cross-sectional [PITH_FULL_IMAGE:figures/full_fig_p122_4_9.png]

**Figure 4.10.** Figure 4.10: CNLH conductivity for spin-orbit coupled noncentrosymmetric metals for (a) different [PITH_FULL_IMAGE:figures/full_fig_p126_4_10.png]

**Figure 4.11.** Figure 4.11: CNLH conductivity σyzz as a function of magnetic field angle γ for both the system, i.e., WSMs and SOC-NCMs. For WSMs, σyzz ∝ sin(γ), and CNLH current has shown to be extremum at γ = π/2. For SOC-NCMs, σyzz ∝ sin(2γ) and maxima occurs at γ = π/4. This figure highlig…

**Figure 5.1.** Figure 5.1: Longitudinal magnetoconductivity in a pseudospin-1 semimetal with and without [PITH_FULL_IMAGE:figures/full_fig_p142_5_1.png]

**Figure 5.2.** Figure 5.2: (a) Longitudinal magnetoconductance for a fixed magnetic field as a function of the [PITH_FULL_IMAGE:figures/full_fig_p143_5_2.png]

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Works this paper leans on

190 extracted references · 79 canonical work pages

[1]

Geometry, anomaly, topology, and transport in Weyl fermions

Azaz Ahmad, Gautham K Varma, and Gargee Sharma. Geometry, anomaly, topology, and transport in weyl fermions. arXiv preprint arXiv:2406.01667 , 2024

work page Pith review arXiv 2024
[2]

Longitudinal magnetoconductance and the planar hall conductance in inhomogeneous weyl semimetals

Azaz Ahmad, Karthik V Raman, Sumanta Tewari, and G Sharma. Longitudinal magnetoconductance and the planar hall conductance in inhomogeneous weyl semimetals. Physical Review B , 107(14):144206, 2023

2023
[3]

Magnetotransport in spin-orbit coupled noncentrosymmetric and weyl metals

Gautham Varma, Azaz Ahmad, Sumanta Tewari, and Gargee Sharma. Magnetotransport in spin-orbit coupled noncentrosymmetric and weyl metals. Physical Review B , 109(16):165114, 2024

2024
[4]

The quantum theory of the electron

Paul Adrien Maurice Dirac. The quantum theory of the electron. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character , 117(778):610--624, 1928

1928
[5]

Gravitation and the electron

Hermann Weyl. Gravitation and the electron. Proceedings of the National Academy of Sciences , 15(4):323--334, 1929

1929
[6]

Recent developments in transport phenomena in Weyl semimetals

Pavan Hosur and Xiaoliang Qi. Recent developments in transport phenomena in Weyl semimetals . Comptes Rendus. Physique , 14(9-10):857--870, 2013

2013
[7]

Weyl and dirac semimetals in three-dimensional solids

NP Armitage, EJ Mele, and Ashvin Vishwanath. Weyl and dirac semimetals in three-dimensional solids. Reviews of Modern Physics , 90(1):015001, 2018

2018
[8]

Phase transition between the quantum spin hall and insulator phases in 3d: emergence of a topological gapless phase

Shuichi Murakami. Phase transition between the quantum spin hall and insulator phases in 3d: emergence of a topological gapless phase. New Journal of Physics , 9(9):356, 2007

2007

Show all 190 references

[9]

Tuning phase transition between quantum spin hall and ordinary insulating phases

Shuichi Murakami, Satoshi Iso, Yshai Avishai, Masaru Onoda, and Naoto Nagaosa. Tuning phase transition between quantum spin hall and ordinary insulating phases. Physical Review B , 76(20):205304, 2007

2007
[10]

Chern semimetal and the quantized anomalous hall effect in hgcr 2 se 4

Gang Xu, Hongming Weng, Zhijun Wang, Xi Dai, and Zhong Fang. Chern semimetal and the quantized anomalous hall effect in hgcr 2 se 4. Physical Review Letters , 107(18):186806, 2011

2011
[11]

Turner, Ashvin Vishwanath, and Sergey Y

Xiangang Wan, Ari M. Turner, Ashvin Vishwanath, and Sergey Y. Savrasov. Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates . Phys. Rev. B , 83:205101, May 2011

2011
[12]

Topological nodal semimetals

AA Burkov, MD Hook, and Leon Balents. Topological nodal semimetals. Physical Review B , 84(23):235126, 2011

2011
[13]

Weyl semimetal in a topological insulator multilayer

AA Burkov and Leon Balents. Weyl semimetal in a topological insulator multilayer. Physical Review Letters , 107(12):127205, 2011

2011
[14]

Discovery of a Weyl fermion semimetal and topological Fermi arcs

Su-Yang Xu, Ilya Belopolski, Nasser Alidoust, Madhab Neupane, Guang Bian, Chenglong Zhang, Raman Sankar, Guoqing Chang, Zhujun Yuan, Chi-Cheng Lee, et al. Discovery of a Weyl fermion semimetal and topological Fermi arcs . Science , 349(6248):613--617, 2015

2015
[15]

Observation of weyl nodes and fermi arcs in tantalum phosphide

Nan Xu, HM Weng, BQ Lv, Christian E Matt, Jihwey Park, Federico Bisti, Vladimir N Strocov, Dariusz Gawryluk, Ekaterina Pomjakushina, Kazimierz Conder, et al. Observation of weyl nodes and fermi arcs in tantalum phosphide. Nature communications , 7(1):11006, 2016

2016
[16]

Extremely large magnetoresistance and ultrahigh mobility in the topological weyl semimetal candidate nbp

Chandra Shekhar, Ajaya K Nayak, Yan Sun, Marcus Schmidt, Michael Nicklas, Inge Leermakers, Uli Zeitler, Yurii Skourski, Jochen Wosnitza, Zhongkai Liu, et al. Extremely large magnetoresistance and ultrahigh mobility in the topological weyl semimetal candidate nbp. Nature Physic...

2015
[17]

Type-ii weyl semimetals

Alexey A Soluyanov, Dominik Gresch, Zhijun Wang, QuanSheng Wu, Matthias Troyer, Xi Dai, and B Andrei Bernevig. Type-ii weyl semimetals. Nature , 527(7579):495--498, 2015

2015
[18]

Observation of weyl nodes in taas

BQ Lv, N Xu, HM Weng, JZ Ma, P Richard, XC Huang, LX Zhao, GF Chen, CE Matt, F Bisti, et al. Observation of weyl nodes in taas. Nature Physics , 11(9):724--727, 2015

2015
[19]

Weyl semimetal phase in the non-centrosymmetric compound taas

LX Yang, ZK Liu, Yan Sun, Han Peng, HF Yang, Teng Zhang, Bo Zhou, Yi Zhang, YF Guo, Marein Rahn, et al. Weyl semimetal phase in the non-centrosymmetric compound taas. Nature physics , 11(9):728--732, 2015

2015
[20]

Linear magnetoconductivity in an intrinsic topological weyl semimetal

Song-Bo Zhang, Hai-Zhou Lu, and Shun-Qing Shen. Linear magnetoconductivity in an intrinsic topological weyl semimetal. New Journal of Physics , 18(5):053039, 2016

2016
[21]

Andrei Bernevig, and Xi Dai

Hongming Weng, Chen Fang, Zhong Fang, B. Andrei Bernevig, and Xi Dai. Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides . Phys. Rev. X , 5:011029, Mar 2015

2015
[22]

Chiral weyl pockets and fermi surface topology of the weyl semimetal taas

Frank Arnold, Marcel Naumann, S-C Wu, Yan Sun, Marcus Schmidt, Horst Borrmann, Claudia Felser, Binghai Yan, and Elena Hassinger. Chiral weyl pockets and fermi surface topology of the weyl semimetal taas. Physical review letters , 117(14):146401, 2016

2016
[23]

Quantum oscillations and the fermi surface topology of the weyl semimetal nbp

J Klotz, Shu-Chun Wu, Chandra Shekhar, Yan Sun, Marcus Schmidt, Michael Nicklas, Michael Baenitz, M Uhlarz, J Wosnitza, Claudia Felser, et al. Quantum oscillations and the fermi surface topology of the weyl semimetal nbp. Physical Review B , 93(12):121105, 2016

2016
[24]

Ultrahigh mobility and giant magnetoresistance in the dirac semimetal cd 3 as 2

Tian Liang, Quinn Gibson, Mazhar N Ali, Minhao Liu, Robert Joseph Cava, and Nai Phuan Ong. Ultrahigh mobility and giant magnetoresistance in the dirac semimetal cd 3 as 2. Nature materials , 14(3):280--284, 2015

2015
[25]

A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class

Shin-Ming Huang, Su-Yang Xu, Ilya Belopolski, Chi-Cheng Lee, Guoqing Chang, BaoKai Wang, Nasser Alidoust, Guang Bian, Madhab Neupane, Chenglong Zhang, et al. A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class . Nature Communication...

2015
[26]

Spin polarization and texture of the fermi arcs in the weyl fermion semimetal taas

Su-Yang Xu, Ilya Belopolski, Daniel S Sanchez, Madhab Neupane, Guoqing Chang, Koichiro Yaji, Zhujun Yuan, Chenglong Zhang, Kenta Kuroda, Guang Bian, et al. Spin polarization and texture of the fermi arcs in the weyl fermion semimetal taas. Physical review letters , 116(9):096801, 2016

2016
[27]

Weyl, Dirac and high-fold Chiral fermions in topological quantum matter

M Zahid Hasan, Guoqing Chang, Ilya Belopolski, Guang Bian, Su-Yang Xu, and Jia-Xin Yin. Weyl, Dirac and high-fold Chiral fermions in topological quantum matter. Nature Reviews Materials , 6(9):784--803, 2021

2021
[28]

Axial-vector vertex in spinor electrodynamics

Stephen L Adler. Axial-vector vertex in spinor electrodynamics. Physical Review , 177(5):2426, 1969

1969
[29]

A pcac puzzle: 0→ in the -model

John S Bell and Roman Jackiw. A pcac puzzle: 0→ in the -model. Il Nuovo Cimento A (1965-1970) , 60(1):47--61, 1969

1965
[30]

The universe in a helium droplet , volume 117

Grigory E Volovik. The universe in a helium droplet , volume 117. OUP Oxford, 2003

2003
[31]

No-go theorum for regularizing chiral fermions

Holger Bech Nielsen and Masao Ninomiya. No-go theorum for regularizing chiral fermions. Technical report, Science Research Council, 1981

1981
[32]

The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal

Holger Bech Nielsen and Masao Ninomiya. The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal . Physics Letters B , 130(6):389--396, 1983

1983
[33]

Weyl semimetal with broken time reversal and inversion symmetries

AA Zyuzin, Si Wu, and AA Burkov. Weyl semimetal with broken time reversal and inversion symmetries. Physical Review B , 85(16):165110, 2012

2012
[34]

Chiral anomaly and classical negative magnetoresistance of Weyl metals

DT Son and BZ Spivak. Chiral anomaly and classical negative magnetoresistance of Weyl metals. Physical Review B , 88(10):104412, 2013

2013
[35]

Axionic field theory of (3+ 1)-dimensional weyl semimetals

Pallab Goswami and Sumanta Tewari. Axionic field theory of (3+ 1)-dimensional weyl semimetals. Physical Review B , 88(24):245107, 2013

2013
[36]

Axial anomaly and longitudinal magnetoresistance of a generic three-dimensional metal

Pallab Goswami, JH Pixley, and S Das Sarma. Axial anomaly and longitudinal magnetoresistance of a generic three-dimensional metal. Physical Review B , 92(7):075205, 2015

2015
[37]

Optical gyrotropy from axion electrodynamics in momentum space

Shudan Zhong, Joseph Orenstein, and Joel E Moore. Optical gyrotropy from axion electrodynamics in momentum space. Physical Review Letters , 115(11):117403, 2015

2015
[38]

Boltzmann equation approach to anomalous transport in a Weyl metal

Ki-Seok Kim, Heon-Jung Kim, and M Sasaki. Boltzmann equation approach to anomalous transport in a Weyl metal . Physical Review B , 89(19):195137, 2014

2014
[39]

Thermoelectric properties of weyl and dirac semimetals

Rex Lundgren, Pontus Laurell, and Gregory A Fiete. Thermoelectric properties of weyl and dirac semimetals. Physical Review B , 90(16):165115, 2014

2014
[40]

Linear magnetochiral effect in weyl semimetals

Alberto Cortijo. Linear magnetochiral effect in weyl semimetals. Physical Review B , 94(24):241105, 2016

2016
[41]

Nernst and magnetothermal conductivity in a lattice model of Weyl fermions

Gargee Sharma, Pallab Goswami, and Sumanta Tewari. Nernst and magnetothermal conductivity in a lattice model of Weyl fermions . Physical Review B , 93(3):035116, 2016

2016
[42]

Magnetotransport of weyl semimetals due to the chiral anomaly

Vladimir A Zyuzin. Magnetotransport of weyl semimetals due to the chiral anomaly. Physical Review B , 95(24):245128, 2017

2017
[43]

Berry curvature induced thermopower in type-i and type-ii weyl semimetals

Kamal Das and Amit Agarwal. Berry curvature induced thermopower in type-i and type-ii weyl semimetals. Physical Review B , 100(8):085406, 2019

2019
[44]

Magnetotransport of weyl semimetals with tilted dirac cones

Anirban Kundu, Zhuo Bin Siu, Hyunsoo Yang, and Mansoor BA Jalil. Magnetotransport of weyl semimetals with tilted dirac cones. New Journal of Physics , 22(8):083081, 2020

2020
[45]

Negative longitudinal magnetoconductance at weak fields in Weyl semimetals

Andy Knoll, Carsten Timm, and Tobias Meng. Negative longitudinal magnetoconductance at weak fields in Weyl semimetals. Physical Review B , 101(20):201402, 2020

2020
[46]

Sign of longitudinal magnetoconductivity and the planar Hall effect in Weyl semimetals

Gargee Sharma, S Nandy, and Sumanta Tewari. Sign of longitudinal magnetoconductivity and the planar Hall effect in Weyl semimetals. Physical Review B , 102(20):205107, 2020

2020
[47]

Magnetotransport and internodal tunnelling in weyl semimetals

G Bednik, KS Tikhonov, and SV Syzranov. Magnetotransport and internodal tunnelling in weyl semimetals. Physical Review Research , 2(2):023124, 2020

2020
[48]

Quantum transport evidence for the three-dimensional dirac semimetal phase in cd 3 as 2

LP He, XC Hong, JK Dong, J Pan, Z Zhang, J Zhang, and SY Li. Quantum transport evidence for the three-dimensional dirac semimetal phase in cd 3 as 2. Physical Review Letters , 113(24):246402, 2014

2014
[49]

Signatures of the adler--bell--jackiw chiral anomaly in a weyl fermion semimetal

Cheng-Long Zhang, Su-Yang Xu, Ilya Belopolski, Zhujun Yuan, Ziquan Lin, Bingbing Tong, Guang Bian, Nasser Alidoust, Chi-Cheng Lee, Shin-Ming Huang, et al. Signatures of the adler--bell--jackiw chiral anomaly in a weyl fermion semimetal. Nature communications , 7(1):1--9, 2016

2016
[50]

Chiral magnetic effect in zrte 5

Qiang Li, Dmitri E Kharzeev, Cheng Zhang, Yuan Huang, I Pletikosi \'c , AV Fedorov, RD Zhong, JA Schneeloch, GD Gu, and T Valla. Chiral magnetic effect in zrte 5. Nature Physics , 12(6):550--554, 2016

2016
[51]

Evidence for the chiral anomaly in the dirac semimetal na3bi

Jun Xiong, Satya K Kushwaha, Tian Liang, Jason W Krizan, Max Hirschberger, Wudi Wang, Robert Joseph Cava, and Nai Phuan Ong. Evidence for the chiral anomaly in the dirac semimetal na3bi. Science , 350(6259):413--416, 2015

2015
[52]

The chiral anomaly and thermopower of weyl fermions in the half-heusler gdptbi

Max Hirschberger, Satya Kushwaha, Zhijun Wang, Quinn Gibson, Sihang Liang, Carina A Belvin, Bogdan Andrei Bernevig, Robert Joseph Cava, and Nai Phuan Ong. The chiral anomaly and thermopower of weyl fermions in the half-heusler gdptbi. Nature materials , 15(11):1161--1165, 2016

2016
[53]

Nonlinear anomalous hall effect in three-dimensional chiral fermions

Azaz Ahmad, Gargee Sharma, et al. Nonlinear anomalous hall effect in three-dimensional chiral fermions. arXiv preprint arXiv:2409.02985 , 2024

2024 arXiv
[54]

Chiral anomaly and nonlinear magnetotransport in time reversal symmetric weyl semimetals

Debottam Mandal, Kamal Das, and Amit Agarwal. Chiral anomaly and nonlinear magnetotransport in time reversal symmetric weyl semimetals. Physical Review B , 106(3):035423, 2022

2022
[55]

Probing the chiral anomaly by planar hall effect in dirac semimetal cd 3 as 2 nanoplates

Min Wu, Guolin Zheng, Weiwei Chu, Yequn Liu, Wenshuai Gao, Hongwei Zhang, Jianwei Lu, Yuyan Han, Jianhui Zhou, Wei Ning, et al. Probing the chiral anomaly by planar hall effect in dirac semimetal cd 3 as 2 nanoplates. Physical review B , 98(16):161110, 2018

2018
[56]

Topological invariants of metals and the related physical effects

Jian-Hui Zhou, Hua Jiang, Qian Niu, and Jun-Ren Shi. Topological invariants of metals and the related physical effects. Chinese Physics Letters , 30(2):027101, 2013

2013
[57]

Electric, thermal, and thermoelectric magnetoconductivity for weyl/multi-weyl semimetals in planar hall set-ups induced by the combined effects of topology and strain

Leonardo Medel Onofre, Rahul Ghosh, Alberto Mart \' n-Ruiz, and Ipsita Mandal. Electric, thermal, and thermoelectric magnetoconductivity for weyl/multi-weyl semimetals in planar hall set-ups induced by the combined effects of topology and strain. arXiv preprint arXiv:2405.14844 , 2024

2024 arXiv
[58]

Thermoelectric response in nodal-point semimetals

Ipsita Mandal and Kush Saha. Thermoelectric response in nodal-point semimetals. Annalen der Physik , page 2400016, 2024

2024
[59]

Quantum transport in dirac materials: Signatures of tilted and anisotropic dirac and weyl cones

Maximilian Trescher, Bj \"o rn Sbierski, Piet W Brouwer, and Emil J Bergholtz. Quantum transport in dirac materials: Signatures of tilted and anisotropic dirac and weyl cones. Physical Review B , 91(11):115135, 2015

2015
[60]

Mixed axial-torsional anomaly in weyl semimetals

Yago Ferreiros, Yaron Kedem, Emil J Bergholtz, and Jens H Bardarson. Mixed axial-torsional anomaly in weyl semimetals. Physical review letters , 122(5):056601, 2019

2019
[61]

Field-selective anomaly and chiral mode reversal in type-ii weyl materials

M Udagawa and Emil J Bergholtz. Field-selective anomaly and chiral mode reversal in type-ii weyl materials. Physical review letters , 117(8):086401, 2016

2016
[62]

Chiral anomaly as the origin of the planar hall effect in weyl semimetals

S Nandy, Gargee Sharma, A Taraphder, and Sumanta Tewari. Chiral anomaly as the origin of the planar hall effect in weyl semimetals. Physical Review Letters , 119(17):176804, 2017

2017
[63]

Linear magnetochiral transport in tilted type-I and type-II Weyl semimetals

Kamal Das and Amit Agarwal. Linear magnetochiral transport in tilted type-I and type-II Weyl semimetals . Physical Review B , 99(8):085405, 2019

2019
[64]

Transverse thermopower in Dirac and Weyl semimetals

Gargee Sharma and Sumanta Tewari. Transverse thermopower in Dirac and Weyl semimetals . Physical Review B , 100(19):195113, 2019

2019
[65]

Decoupling intranode and internode scattering in weyl fermions

Gargee Sharma, Snehasish Nandy, Karthik V Raman, and Sumanta Tewari. Decoupling intranode and internode scattering in weyl fermions. Physical Review B , 107(11):115161, 2023

2023
[66]

Longitudinal magnetoconductance and the planar Hall effect in a lattice model of tilted Weyl fermions

Azaz Ahmad and Gargee Sharma. Longitudinal magnetoconductance and the planar Hall effect in a lattice model of tilted Weyl fermions . Physical Review B , 103(11):115146, 2021

2021
[67]

Chiral anomaly and longitudinal magnetotransport in type-II Weyl semimetals

Gargee Sharma, Pallab Goswami, and Sumanta Tewari. Chiral anomaly and longitudinal magnetotransport in type-II Weyl semimetals . Physical Review B , 96(4):045112, 2017

2017
[68]

Nernst effect in dirac and inversion-asymmetric weyl semimetals

Gargee Sharma, Christopher Moore, Subhodip Saha, and Sumanta Tewari. Nernst effect in dirac and inversion-asymmetric weyl semimetals. Physical Review B , 96(19):195119, 2017

2017
[69]

Optical activity as a test for dynamic chiral magnetic effect of weyl semimetals

Pallab Goswami, Gargee Sharma, and Sumanta Tewari. Optical activity as a test for dynamic chiral magnetic effect of weyl semimetals. Physical Review B , 92(16):161110, 2015

2015
[70]

Optical evidence of the chiral magnetic anomaly in the weyl semimetal taas

Antonio L Levy, Andrei B Sushkov, Fengguang Liu, Bing Shen, Ni Ni, Howard D Drew, and Gregory S Jenkins. Optical evidence of the chiral magnetic anomaly in the weyl semimetal taas. Physical Review B , 101(12):125102, 2020

2020
[71]

Magneto-optical kerr effect and signature of the chiral anomaly in a weyl semimetal in magnetic field

Jean-Michel Parent, Ren \'e C \^o t \'e , and Ion Garate. Magneto-optical kerr effect and signature of the chiral anomaly in a weyl semimetal in magnetic field. Physical Review B , 102(24):245126, 2020

2020
[72]

Detecting the chiral magnetic effect by lattice dynamics in weyl semimetals

Zhida Song, Jimin Zhao, Zhong Fang, and Xi Dai. Detecting the chiral magnetic effect by lattice dynamics in weyl semimetals. Physical Review B , 94(21):214306, 2016

2016
[73]

Signatures of the chiral anomaly in phonon dynamics

Pierre Rinkel, Pedro LS Lopes, and Ion Garate. Signatures of the chiral anomaly in phonon dynamics. Physical Review Letters , 119(10):107401, 2017

2017
[74]

The discovery of dynamic chiral anomaly in a weyl semimetal nbas

Xiang Yuan, Cheng Zhang, Yi Zhang, Zhongbo Yan, Tairu Lyu, Mengyao Zhang, Zhilin Li, Chaoyu Song, Minhao Zhao, Pengliang Leng, et al. The discovery of dynamic chiral anomaly in a weyl semimetal nbas. Nature communications , 11(1):1--7, 2020

2020
[75]

Probing charge pumping and relaxation of the chiral anomaly in a dirac semimetal

Bing Cheng, Timo Schumann, Susanne Stemmer, and NP Armitage. Probing charge pumping and relaxation of the chiral anomaly in a dirac semimetal. arXiv preprint arXiv:1910.13655 , 2019

1910 arXiv
[76]

Inhomogeneous weyl and dirac semimetals: Transport in axial magnetic fields and fermi arc surface states from pseudo-landau levels

Adolfo G Grushin, J \"o rn WF Venderbos, Ashvin Vishwanath, and Roni Ilan. Inhomogeneous weyl and dirac semimetals: Transport in axial magnetic fields and fermi arc surface states from pseudo-landau levels. Physical Review X , 6(4):041046, 2016

2016
[77]

Visual differential geometry and forms: a mathematical drama in five acts

Tristan Needham. Visual differential geometry and forms: a mathematical drama in five acts . Princeton University Press, 2021

2021
[78]

Geometry, topology and physics

Mikio Nakahara. Geometry, topology and physics . CRC press, 2018

2018
[79]

Quantal phase factors accompanying adiabatic changes

Michael Victor Berry. Quantal phase factors accompanying adiabatic changes. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences , 392(1802):45--57, 1984

1984
[80]

Quantised singularities in the electromagnetic field

Paul Adrien Maurice Dirac. Quantised singularities in the electromagnetic field. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character , 133(821):60--72, 1931

1931
[81]

Concept of nonintegrable phase factors and global formulation of gauge fields

Tai Tsun Wu and Chen Ning Yang. Concept of nonintegrable phase factors and global formulation of gauge fields. Physical Review D , 12(12):3845, 1975

1975
[82]

Berry phase effects on electronic properties

Di Xiao, Ming-Che Chang, and Qian Niu. Berry phase effects on electronic properties. Reviews of Modern Physics , 82(3):1959, 2010

1959
[83]

An introduction to quantum field theory

Michael E Peskin. An introduction to quantum field theory . CRC press, 2018

2018
[84]

Accidental degeneracy in the energy bands of crystals

Conyers Herring. Accidental degeneracy in the energy bands of crystals. Physical Review , 52(4):365, 1937

1937
[85]

Introduction to quantum fields on a lattice

Jan Smit. Introduction to quantum fields on a lattice . Cambridge University Press, 2003

2003
[86]

A proof of the nielsen-ninomiya theorem

Daniel Friedan. A proof of the nielsen-ninomiya theorem. Communications in Mathematical Physics , 85:481--490, 1982

1982
[87]

Anomalous nernst effect in the dirac semimetal cd 3 as 2

Tian Liang, Jingjing Lin, Quinn Gibson, Tong Gao, Max Hirschberger, Minhao Liu, Robert Joseph Cava, and Nai Phuan Ong. Anomalous nernst effect in the dirac semimetal cd 3 as 2. Physical Review Letters , 118(13):136601, 2017

2017
[88]

Anomalous hall effect in weyl metals

AA Burkov. Anomalous hall effect in weyl metals. Physical Review Letters , 113(18):187202, 2014

2014
[89]

Probing the chiral anomaly with nonlocal transport in three-dimensional topological semimetals

SA Parameswaran, T Grover, DA Abanin, DA Pesin, and A Vishwanath. Probing the chiral anomaly with nonlocal transport in three-dimensional topological semimetals. Physical Review X , 4(3):031035, 2014

2014
[90]

Berry curvature force and lorentz force comparison in the magnetotransport of weyl semimetals

Muhammad Imran and Selman Hershfield. Berry curvature force and lorentz force comparison in the magnetotransport of weyl semimetals. Physical Review B , 98(20):205139, 2018

2018
[91]

Magnetotransport properties of the type-ii weyl semimetal candidate ta 3 s 2

D Chen, LX Zhao, JB He, H Liang, S Zhang, CH Li, L Shan, SC Wang, ZA Ren, C Ren, et al. Magnetotransport properties of the type-ii weyl semimetal candidate ta 3 s 2. Physical Review B , 94(17):174411, 2016

2016
[92]

Evidence for topological type-ii weyl semimetal wte2

Peng Li, Yan Wen, Xin He, Qiang Zhang, Chuan Xia, Zhi-Ming Yu, Shengyuan A Yang, Zhiyong Zhu, Husam N Alshareef, and Xi-Xiang Zhang. Evidence for topological type-ii weyl semimetal wte2. Nature communications , 8(1):2150, 2017

2017
[93]

Observation of weyl nodes in robust type-ii weyl semimetal wp 2

M-Y Yao, Nan Xu, QS Wu, Gabriel Aut \`e s, Nitesh Kumar, Vladimir N Strocov, Nicholas C Plumb, Milan Radovic, Oleg V Yazyev, Claudia Felser, et al. Observation of weyl nodes in robust type-ii weyl semimetal wp 2. Physical review letters , 122(17):176402, 2019

2019
[94]

Direction-dependent conductivity in planar hall set-ups with tilted weyl/multi-weyl semimetals

Rahul Ghosh and Ipsita Mandal. Direction-dependent conductivity in planar hall set-ups with tilted weyl/multi-weyl semimetals. Journal of Physics: Condensed Matter , 36(27):275501, 2024

2024
[95]

Nd mermin solid state physics

Neil W Ashcroft. Nd mermin solid state physics. Saunders College, Philadelphia , 120, 1976

1976
[96]

Berry curvature, triangle anomalies, and the chiral magnetic effect in fermi liquids

Dam Thanh Son and Naoki Yamamoto. Berry curvature, triangle anomalies, and the chiral magnetic effect in fermi liquids. Physical Review Letters , 109(18):181602, 2012

2012
[97]

Many-Body Quantum Theory in Condensed Matter Physics: An Introduction

Henrik Bruus and Karsten Flensberg. Many-Body Quantum Theory in Condensed Matter Physics: An Introduction . Oxford University Press, 2004

2004
[98]

Planar hall effect in weyl semimetals induced by pseudoelectromagnetic fields

L Medel Onofre and A Mart \' n-Ruiz. Planar hall effect in weyl semimetals induced by pseudoelectromagnetic fields. Physical Review B , 108(15):155132, 2023

2023
[99]

Gerald D Mahan. 9. Many-Particle Systems . Princeton University Press, 2008

2008
[100]

\"U ber das verhalten von eigenwerten bei adiabatischen prozessen

Johann von Neumann and Eugene P Wigner. \"U ber das verhalten von eigenwerten bei adiabatischen prozessen. The Collected Works of Eugene Paul Wigner: Part A: The Scientific Papers , pages 294--297, 1993

1993
[101]

Classification of topological quantum matter with symmetries

Ching-Kai Chiu, Jeffrey CY Teo, Andreas P Schnyder, and Shinsei Ryu. Classification of topological quantum matter with symmetries. Reviews of Modern Physics , 88(3):035005, 2016

2016
[102]

Symmetry demanded topological nodal-line materials

Shuo-Ying Yang, Hao Yang, Elena Derunova, Stuart SP Parkin, Binghai Yan, and Mazhar N Ali. Symmetry demanded topological nodal-line materials. Advances in Physics: X , 3(1):1414631, 2018

2018
[103]

Quantum hall effects in a weyl semimetal: Possible application in pyrochlore iridates

Kai-Yu Yang, Yuan-Ming Lu, and Ying Ran. Quantum hall effects in a weyl semimetal: Possible application in pyrochlore iridates. Physical Review B , 84(7):075129, 2011

2011
[104]

Adler-bell-jackiw anomaly in weyl semimetals: Application to pyrochlore iridates

Vivek Aji. Adler-bell-jackiw anomaly in weyl semimetals: Application to pyrochlore iridates. Physical Review B , 85(24):241101, 2012

2012
[105]

Chiral magnetic effect

Kenji Fukushima, Dmitri E Kharzeev, and Harmen J Warringa. Chiral magnetic effect. Physical Review D , 78(7):074033, 2008

2008
[106]

Planar hall effect in the weyl semimetal gdptbi

Nitesh Kumar, Satya N Guin, Claudia Felser, and Chandra Shekhar. Planar hall effect in the weyl semimetal gdptbi. Physical Review B , 98(4):041103, 2018

2018
[107]

WL Yang, DD Zhen, YJ Liang, and X Yan Wang. W. tong, l. pi, wk zhu, and cj zhang. Phys. Rev. Mater , 3:014201, 2019

2019
[108]

Giant anisotropic magnetoresistance and planar hall effect in the dirac semimetal cd 3 as 2

Hui Li, Huan-Wen Wang, Hongtao He, Jiannong Wang, and Shun-Qing Shen. Giant anisotropic magnetoresistance and planar hall effect in the dirac semimetal cd 3 as 2. Physical Review B , 97(20):201110, 2018

2018
[109]

Planar hall effect in the type-ii weyl semimetal t d- mot e 2

FC Chen, X Luo, J Yan, Y Sun, HY Lv, WJ Lu, CY Xi, P Tong, ZG Sheng, XB Zhu, et al. Planar hall effect in the type-ii weyl semimetal t d- mot e 2. Physical Review B , 98(4):041114, 2018

2018
[110]

Giant planar hall effect in the dirac semimetal zrt e 5-

Peng Li, CH Zhang, JW Zhang, Yan Wen, and XX Zhang. Giant planar hall effect in the dirac semimetal zrt e 5- . Physical Review B , 98(12):121108, 2018

2018
[111]

Frustration-induced non-curie-weiss paramagnetism in la 3 ir 3 o 11: A fractional valence state iridate

J Yang, JR Wang, WL Zhen, L Ma, LS Ling, W Tong, CJ Zhang, L Pi, and WK Zhu. Frustration-induced non-curie-weiss paramagnetism in la 3 ir 3 o 11: A fractional valence state iridate. Physical Review B , 100(20):205107, 2019

2019
[112]

Negative longitudinal magnetoresistance as a sign of a possible chiral magnetic anomaly in the half-heusler antiferromagnet dypdbi

Orest Pavlosiuk, Dariusz Kaczorowski, and Piotr Wi \'s niewski. Negative longitudinal magnetoresistance as a sign of a possible chiral magnetic anomaly in the half-heusler antiferromagnet dypdbi. Physical Review B , 99(12):125142, 2019

2019
[113]

Planar hall effect in the type-ii dirac semimetal val 3

Ratnadwip Singha, Shubhankar Roy, Arnab Pariari, Biswarup Satpati, and Prabhat Mandal. Planar hall effect in the type-ii dirac semimetal val 3. Physical Review B , 98(8):081103, 2018

2018
[114]

High-field magnetoconductivity of topological semimetals with short-range potential

Hai-Zhou Lu, Song-Bo Zhang, and Shun-Qing Shen. High-field magnetoconductivity of topological semimetals with short-range potential. Physical Review B , 92(4):045203, 2015

2015
[115]

Positive magnetoconductivity of weyl semimetals in the ultraquantum limit

Chui-Zhen Chen, Haiwen Liu, Hua Jiang, and XC Xie. Positive magnetoconductivity of weyl semimetals in the ultraquantum limit. Physical Review B , 93(16):165420, 2016

2016
[116]

Magneto-conductivity of tilted type-I Weyl semimetals with different types of impurities

Jianmei Shao and Lijuan Yan. Magneto-conductivity of tilted type-I Weyl semimetals with different types of impurities . AIP Advances , 9(4):045319, 2019

2019
[117]

Weyl fermions with arbitrary monopoles in magnetic fields: Landau levels, longitudinal magnetotransport, and density-wave ordering

Xiao Li, Bitan Roy, and S Das Sarma. Weyl fermions with arbitrary monopoles in magnetic fields: Landau levels, longitudinal magnetotransport, and density-wave ordering. Physical Review B , 94(19):195144, 2016

2016
[118]

Effect of the screened coulomb disorder on magneto-transport in weyl semimetals

Xuan-Ting Ji, Hai-Zhou Lu, Zhen-Gang Zhu, and Gang Su. Effect of the screened coulomb disorder on magneto-transport in weyl semimetals. Journal of Applied Physics , 123(20):203901, 2018

2018
[119]

Magnetotransport phenomena related to the chiral anomaly in weyl semimetals

BZ Spivak and AV Andreev. Magnetotransport phenomena related to the chiral anomaly in weyl semimetals. Physical Review B , 93(8):085107, 2016

2016
[120]

Magnetotransport in multi-weyl semimetals: A kinetic theory approach

Renato MA Dantas, Francisco Pe \ n a-Benitez, Bitan Roy, and Piotr Sur \'o wka. Magnetotransport in multi-weyl semimetals: A kinetic theory approach. Journal of High Energy Physics , 2018(12):69, 2018

2018
[121]

Chiral anomaly in type-i weyl semimetals: Comprehensive analysis within a semiclassical fermi surface harmonics approach

Annika Johansson, J \"u rgen Henk, and Ingrid Mertig. Chiral anomaly in type-i weyl semimetals: Comprehensive analysis within a semiclassical fermi surface harmonics approach. Physical Review B , 99(7):075114, 2019

2019
[122]

Linear magnetoresistance induced by intra-scattering semiclassics of bloch electrons

Cong Xiao, Hua Chen, Yang Gao, Di Xiao, Allan H MacDonald, and Qian Niu. Linear magnetoresistance induced by intra-scattering semiclassics of bloch electrons. Physical Review B , 101(20):201410, 2020

2020
[123]

Large enhancement of conductivity in weyl semimetals with tilted cones: Pseudorelativity and linear response

Saber Rostamzadeh, Inan c Adagideli, and Mark Oliver Goerbig. Large enhancement of conductivity in weyl semimetals with tilted cones: Pseudorelativity and linear response. Physical Review B , 100(7):075438, 2019

2019
[124]

Minimal models for topological weyl semimetals

Timothy M McCormick, Itamar Kimchi, and Nandini Trivedi. Minimal models for topological weyl semimetals. Physical Review B , 95(7):075133, 2017

2017
[125]

Complete optical valley polarization in weyl semimetals in strong magnetic fields

Simon Bertrand, Jean-Michel Parent, Ren \'e C \^o t \'e , and Ion Garate. Complete optical valley polarization in weyl semimetals in strong magnetic fields. Physical Review B , 100(7):075107, 2019

2019
[126]

Chiral gauge theory for graphene

R Jackiw and S-Y Pi. Chiral gauge theory for graphene. Physical Review Letters , 98(26):266402, 2007

2007
[127]

Gauge fields in graphene

Maria AH Vozmediano, MI Katsnelson, and Francisco Guinea. Gauge fields in graphene. Physics Reports , 496(4-5):109--148, 2010

2010
[128]

Energy gaps and a zero-field quantum hall effect in graphene by strain engineering

Francisco Guinea, MI Katsnelson, and AK Geim. Energy gaps and a zero-field quantum hall effect in graphene by strain engineering. Nature Physics , 6(1):30--33, 2010

2010
[129]

Elastic gauge fields in weyl semimetals

Alberto Cortijo, Yago Ferreir \'o s, Karl Landsteiner, and Mar \' a AH Vozmediano. Elastic gauge fields in weyl semimetals. Physical Review Letters , 115(17):177202, 2015

2015
[130]

Chiral anomaly from strain-induced gauge fields in dirac and weyl semimetals

DI Pikulin, Anffany Chen, and M Franz. Chiral anomaly from strain-induced gauge fields in dirac and weyl semimetals. Physical Review X , 6(4):041021, 2016

2016
[131]

Strain-induced pseudo--magnetic fields greater than 300 tesla in graphene nanobubbles

N Levy, SA Burke, KL Meaker, M Panlasigui, A Zettl, F Guinea, AH Castro Neto, and Michael F Crommie. Strain-induced pseudo--magnetic fields greater than 300 tesla in graphene nanobubbles. Science , 329(5991):544--547, 2010

2010
[132]

On induced cpt-odd chern-simons terms in the 3+ 1 effective action

GE Volovik. On induced cpt-odd chern-simons terms in the 3+ 1 effective action. Journal of Experimental and Theoretical Physics Letters , 70(1):1--4, 1999

1999
[133]

Chiral gauge field and axial anomaly in a weyl semimetal

Chao-Xing Liu, Peng Ye, and Xiao-Liang Qi. Chiral gauge field and axial anomaly in a weyl semimetal. Physical Review B , 87(23):235306, 2013

2013
[134]

Consequences of a condensed matter realization of lorentz-violating qed in weyl semi-metals

Adolfo G Grushin. Consequences of a condensed matter realization of lorentz-violating qed in weyl semi-metals. Physical Review D , 86(4):045001, 2012

2012
[135]

Topological response in Weyl semimetals and the chiral anomaly

AA Zyuzin and AA Burkov. Topological response in Weyl semimetals and the chiral anomaly . Physical Review B , 86(11):115133, 2012

2012
[136]

Chirality-dependent planar hall effect in inhomogeneous weyl semimetals

Suvendu Ghosh, Debabrata Sinha, Snehasish Nandy, and A Taraphder. Chirality-dependent planar hall effect in inhomogeneous weyl semimetals. Physical Review B , 102(12):121105, 2020

2020
[137]

Revisiting magnetotransport in weyl semimetals

G Sharma, Snehashish Nandy, Karthik V Raman, and Sumanta Tewari. Revisiting magnetotransport in weyl semimetals. arXiv preprint arXiv:2201.09922 , 2022

2022 arXiv
[138]

An introduction to quantum field theory (boulder, co, 1995

Michael E Peskin and Daniel V Schroeder. An introduction to quantum field theory (boulder, co, 1995

1995
[139]

Colloquium: Topological insulators

M Zahid Hasan and Charles L Kane. Colloquium: Topological insulators. Reviews of Modern Physics , 82(4):3045, 2010

2010
[140]

Topological insulators and superconductors

Xiao-Liang Qi and Shou-Cheng Zhang. Topological insulators and superconductors. Reviews of Modern Physics , 83(4):1057, 2011

2011
[141]

Topological materials: Weyl semimetals

Binghai Yan and Claudia Felser. Topological materials: Weyl semimetals. Annual Review of Condensed Matter Physics , 8(1):337–354, March 2017

2017
[142]

Discovery of Weyl fermion Semimetals and Topological Fermi Arc States

M Zahid Hasan, Su-Yang Xu, Ilya Belopolski, and Shin-Ming Huang. Discovery of Weyl fermion Semimetals and Topological Fermi Arc States . Annual Review of Condensed Matter Physics , 8(1):289--309, 2017

2017
[143]

Weyl metals

AA Burkov. Weyl metals. Annual Review of Condensed Matter Physics , 9:359--378, 2018

2018
[144]

Experimental signatures of the chiral anomaly in dirac--weyl semimetals

NP Ong and Sihang Liang. Experimental signatures of the chiral anomaly in dirac--weyl semimetals. Nature Reviews Physics , 3(6):394--404, 2021

2021
[145]

Transport, magnetic and optical properties of weyl materials

Naoto Nagaosa, Takahiro Morimoto, and Yoshinori Tokura. Transport, magnetic and optical properties of weyl materials. Nature Reviews Materials , 5(8):621--636, 2020

2020
[146]

Experimental perspective on three-dimensional topological semimetals

BQ Lv, T Qian, and H Ding. Experimental perspective on three-dimensional topological semimetals. Reviews of Modern Physics , 93(2):025002, 2021

2021
[147]

Tunable circular dichroism due to the chiral anomaly in weyl semimetals

Pavan Hosur and Xiao-Liang Qi. Tunable circular dichroism due to the chiral anomaly in weyl semimetals. Physical Review B , 91(8):081106, 2015

2015
[148]

Intrinsic relative magnetoconductivity of nonmagnetic metals

Yang Gao, Shengyuan A Yang, and Qian Niu. Intrinsic relative magnetoconductivity of nonmagnetic metals. Physical Review B , 95(16):165135, 2017

2017
[149]

Negative magnetoresistance without chiral anomaly in topological insulators

Xin Dai, ZZ Du, and Hai-Zhou Lu. Negative magnetoresistance without chiral anomaly in topological insulators. Physical review letters , 119(16):166601, 2017

2017
[150]

Longitudinal negative magnetoresistance and magnetotransport phenomena in conventional and topological conductors

AV Andreev and BZ Spivak. Longitudinal negative magnetoresistance and magnetotransport phenomena in conventional and topological conductors. Physical review letters , 120(2):026601, 2018

2018
[151]

Intrinsic magnetoresistance in three-dimensional dirac materials with low carrier density

Huan-Wen Wang, Bo Fu, and Shun-Qing Shen. Intrinsic magnetoresistance in three-dimensional dirac materials with low carrier density. Physical Review B , 98(8):081202, 2018

2018
[152]

Berry phase theory of planar hall effect in topological insulators

Snehasish Nandy, A Taraphder, and Sumanta Tewari. Berry phase theory of planar hall effect in topological insulators. Scientific Reports , 8(1):14983, 2018

2018
[153]

Quantum magnetotransport in massive dirac materials

Bo Fu, Huan-Wen Wang, and Shun-Qing Shen. Quantum magnetotransport in massive dirac materials. Physical Review B , 101(12):125203, 2020

2020
[154]

Berry curvature induced magnetotransport in 3d noncentrosymmetric metals

Ojasvi Pal, Bashab Dey, and Tarun Kanti Ghosh. Berry curvature induced magnetotransport in 3d noncentrosymmetric metals. Journal of Physics: Condensed Matter , 34(2):025702, 2021

2021
[155]

Helical symmetry breaking and quantum anomaly in massive dirac fermions

Huan-Wen Wang, Bo Fu, and Shun-Qing Shen. Helical symmetry breaking and quantum anomaly in massive dirac fermions. Physical Review B , 104(24):L241111, 2021

2021
[156]

Effect of chirality imbalance on hall transport of prrhc 2

Banasree Sadhukhan and Tanay Nag. Effect of chirality imbalance on hall transport of prrhc 2. Physical Review B , 107(8):L081110, 2023

2023
[157]

Chiral anomaly in noncentrosymmetric systems induced by spin-orbit coupling

Suik Cheon, Gil Young Cho, Ki-Seok Kim, and Hyun-Woo Lee. Chiral anomaly in noncentrosymmetric systems induced by spin-orbit coupling. Phys. Rev. B , 105:L180303, May 2022

2022
[158]

Chiral anomalies in three-dimensional spin-orbit coupled metals: Electrical, thermal, and gravitational anomalies

Sunit Das, Kamal Das, and Amit Agarwal. Chiral anomalies in three-dimensional spin-orbit coupled metals: Electrical, thermal, and gravitational anomalies. Physical Review B , 108(4):045405, 2023

2023
[159]

Thermoelectric and optical probes for a fermi surface topology change in noncentrosymmetric metals

Sonu Verma, Tutul Biswas, and Tarun Kanti Ghosh. Thermoelectric and optical probes for a fermi surface topology change in noncentrosymmetric metals. Physical Review B , 100(4):045201, 2019

2019
[160]

Quantum oscillations as a robust fingerprint of chiral anomaly in nonlinear response in weyl semimetals

Chuanchang Zeng, Snehasish Nandy, Pu Liu, Sumanta Tewari, and Yugui Yao. Quantum oscillations as a robust fingerprint of chiral anomaly in nonlinear response in weyl semimetals. Physical Review B , 107(8):L081107, 2023

2023
[161]

Chiral anomaly in noncentrosymmetric systems induced by spin-orbit coupling

Suik Cheon, Gil Young Cho, Ki-Seok Kim, and Hyun-Woo Lee. Chiral anomaly in noncentrosymmetric systems induced by spin-orbit coupling. Physical Review B , 105(18):L180303, 2022

2022
[162]

Quantum oscillations of the positive longitudinal magnetoconductivity: A fingerprint for identifying weyl semimetals

Ming-Xun Deng, GY Qi, R Ma, R Shen, Rui-Qiang Wang, L Sheng, and DY Xing. Quantum oscillations of the positive longitudinal magnetoconductivity: A fingerprint for identifying weyl semimetals. Physical Review Letters , 122(3):036601, 2019

2019
[163]

Kinetic equation and magneto-conductance for weyl metal in the clean limit

S-K Yip. Kinetic equation and magneto-conductance for weyl metal in the clean limit. arXiv preprint arXiv:1508.01010 , 2015

2015 arXiv
[164]

Heinonen, Anton A

Rui-Hao Li, Olle G. Heinonen, Anton A. Burkov, and Steven S.-L. Zhang. Nonlinear hall effect in weyl semimetals induced by chiral anomaly. Phys. Rev. B , 103:045105, Jan 2021

2021
[165]

Quantum nonlinear hall effect induced by berry curvature dipole in time-reversal invariant materials

Inti Sodemann and Liang Fu. Quantum nonlinear hall effect induced by berry curvature dipole in time-reversal invariant materials. Physical review letters , 115(21):216806, 2015

2015
[166]

Nonlinear hall effect in weyl semimetals induced by chiral anomaly

Rui-Hao Li, Olle G Heinonen, Anton A Burkov, and Steven S-L Zhang. Nonlinear hall effect in weyl semimetals induced by chiral anomaly. Physical Review B , 103(4):045105, 2021

2021
[167]

Chiral anomaly induced nonlinear hall effect in semimetals with multiple weyl points

Snehasish Nandy, Chuanchang Zeng, and Sumanta Tewari. Chiral anomaly induced nonlinear hall effect in semimetals with multiple weyl points. Physical Review B , 104(20):205124, 2021

2021
[168]

Chiral anomaly induced nonlinear nernst and thermal hall effects in weyl semimetals

Chuanchang Zeng, Snehasish Nandy, and Sumanta Tewari. Chiral anomaly induced nonlinear nernst and thermal hall effects in weyl semimetals. Physical Review B , 105(12):125131, 2022

2022
[169]

Nondivergent chiral charge pumping in weyl semimetals

Min Ju Park, Suik Cheon, and Hyun-Woo Lee. Nondivergent chiral charge pumping in weyl semimetals. Physical Review B , 106(7):075140, 2022

2022
[170]

Semiclassical quantum mechanics: I

George A Hagedorn. Semiclassical quantum mechanics: I. the 0 limit for coherent states. Communications in Mathematical Physics , 71(1):77--93, 1980

1980
[171]

Berry phase, hyperorbits, and the Hofstadter spectrum: Semiclassical dynamics in magnetic Bloch bands

Ming-Che Chang and Qian Niu. Berry phase, hyperorbits, and the Hofstadter spectrum: Semiclassical dynamics in magnetic Bloch bands. Physical Review B , 53(11):7010, 1996

1996
[172]

Geometrical nonlinear hall effect induced by lorentz force

Junjie Yao, Yizhou Liu, and Wenhui Duan. Geometrical nonlinear hall effect induced by lorentz force. Physical Review B , 110(11):115123, 2024

2024
[173]

Intrinsic Hall conductivities induced by the orbital magnetic moment

Kamal Das and Amit Agarwal. Intrinsic Hall conductivities induced by the orbital magnetic moment. Physical Review B , 103(12):125432, 2021

2021
[174]

Order parameter with line nodes and s -wave symmetry for the noncentrosymmetric superconductor li 2 pt 3 b

Soumya P Mukherjee and Tetsuya Takimoto. Order parameter with line nodes and s -wave symmetry for the noncentrosymmetric superconductor li 2 pt 3 b. Physical Review B—Condensed Matter and Materials Physics , 86(13):134526, 2012

2012
[175]

Chiral anomaly factory: Creating weyl fermions with a magnetic field

Jennifer Cano, Barry Bradlyn, Zhijun Wang, Max Hirschberger, Nai Phuan Ong, and Bogdan A Bernevig. Chiral anomaly factory: Creating weyl fermions with a magnetic field. Physical Review B , 95(16):161306, 2017

2017
[176]

Anomalous hall and nernst effects in kane fermions

Karun Gadge, Sumanta Tewari, and Gargee Sharma. Anomalous hall and nernst effects in kane fermions. Physical Review B , 105(23):235420, 2022

2022
[177]

Kramers nodal line metals

Ying-Ming Xie, Xue-Jian Gao, Xiao Yan Xu, Cheng-Ping Zhang, Jin-Xin Hu, Jason Z Gao, and Kam Tuen Law. Kramers nodal line metals. Nature communications , 12(1):3064, 2021

2021
[178]

Spin splittings in the n-hgte/cdxhg1- xte (013) quantum well with inverted band structure

MV Yakunin, SM Podgornykh, NN Mikhailov, and SA Dvoretsky. Spin splittings in the n-hgte/cdxhg1- xte (013) quantum well with inverted band structure. Physica E: Low-dimensional Systems and Nanostructures , 42(4):948--951, 2010

2010
[179]

Anomalies in quantum field theory , volume 91

Reinhold A Bertlmann. Anomalies in quantum field theory , volume 91. Oxford university press, 2000

2000
[180]

Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals

Barry Bradlyn, Jennifer Cano, Zhijun Wang, MG Vergniory, C Felser, Robert Joseph Cava, and B Andrei Bernevig. Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals. Science , 353(6299):aaf5037, 2016

2016
[181]

Multiple types of topological fermions in transition metal silicides

Peizhe Tang, Quan Zhou, and Shou-Cheng Zhang. Multiple types of topological fermions in transition metal silicides. Physical review letters , 119(20):206402, 2017

2017
[182]

Topological quantum properties of chiral crystals

Guoqing Chang, Benjamin J Wieder, Frank Schindler, Daniel S Sanchez, Ilya Belopolski, Shin-Ming Huang, Bahadur Singh, Di Wu, Tay-Rong Chang, Titus Neupert, et al. Topological quantum properties of chiral crystals. Nature materials , 17(11):978--985, 2018

2018
[183]

Chiral anomaly enhancement and photoirradiation effects in multiband touching fermion systems

Motohiko Ezawa. Chiral anomaly enhancement and photoirradiation effects in multiband touching fermion systems. Physical Review B , 95(20):205201, 2017

2017
[184]

Axial anomaly in multi-weyl and triple-point semimetals

Luca Lepori, Michele Burrello, and Enore Guadagnini. Axial anomaly in multi-weyl and triple-point semimetals. Journal of High Energy Physics , 2018(6):1--46, 2018

2018
[185]

Generalized triple-component fermions: Lattice model, fermi arcs, and anomalous transport

Snehasish Nandy, Sourav Manna, Dumitru C a lug a ru, and Bitan Roy. Generalized triple-component fermions: Lattice model, fermi arcs, and anomalous transport. Physical Review B , 100(23):235201, 2019

2019
[186]

Intrinsic negative magnetoresistance from the chiral anomaly of multifold fermions

Federico Balduini, Alan Molinari, Lorenzo Rocchino, Vicky Hasse, Claudia Felser, Marilyne Sousa, Cezar Zota, Heinz Schmid, Adolfo G Grushin, and Bernd Gotsmann. Intrinsic negative magnetoresistance from the chiral anomaly of multifold fermions. Nature Communications , 15(1):6526, 2024

2024
[187]

In search of majorana

Sankar Das Sarma. In search of majorana. Nature Physics , 19(2):165--170, 2023

2023
[188]

Unpaired majorana fermions in quantumwires

A Yu Kitaev. Unpaired majorana fermions in quantumwires. Physics-uspekhi , 44(10S):131, 2001

2001
[189]

Majorana polarization in disordered heterostructures

Shubhanshu Karoliya, Sumanta Tewari, and Gargee Sharma. Majorana polarization in disordered heterostructures. arXiv preprint arXiv:2503.07721 , 2025

2025 arXiv
[190]

Majorana nanowires for topological quantum computation

Pasquale Marra. Majorana nanowires for topological quantum computation. Journal of Applied Physics , 132(23), 2022

2022

Pith tools

Reviewed August 7, 2026 · model on record in the stance chip above.

[1] [1]

Geometry, anomaly, topology, and transport in Weyl fermions

Azaz Ahmad, Gautham K Varma, and Gargee Sharma. Geometry, anomaly, topology, and transport in weyl fermions. arXiv preprint arXiv:2406.01667 , 2024

work page Pith review arXiv 2024

[2] [2]

Longitudinal magnetoconductance and the planar hall conductance in inhomogeneous weyl semimetals

Azaz Ahmad, Karthik V Raman, Sumanta Tewari, and G Sharma. Longitudinal magnetoconductance and the planar hall conductance in inhomogeneous weyl semimetals. Physical Review B , 107(14):144206, 2023

2023

[3] [3]

Magnetotransport in spin-orbit coupled noncentrosymmetric and weyl metals

Gautham Varma, Azaz Ahmad, Sumanta Tewari, and Gargee Sharma. Magnetotransport in spin-orbit coupled noncentrosymmetric and weyl metals. Physical Review B , 109(16):165114, 2024

2024

[4] [4]

The quantum theory of the electron

Paul Adrien Maurice Dirac. The quantum theory of the electron. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character , 117(778):610--624, 1928

1928

[5] [5]

Gravitation and the electron

Hermann Weyl. Gravitation and the electron. Proceedings of the National Academy of Sciences , 15(4):323--334, 1929

1929

[6] [6]

Recent developments in transport phenomena in Weyl semimetals

Pavan Hosur and Xiaoliang Qi. Recent developments in transport phenomena in Weyl semimetals . Comptes Rendus. Physique , 14(9-10):857--870, 2013

2013

[7] [7]

Weyl and dirac semimetals in three-dimensional solids

NP Armitage, EJ Mele, and Ashvin Vishwanath. Weyl and dirac semimetals in three-dimensional solids. Reviews of Modern Physics , 90(1):015001, 2018

2018

[8] [8]

Phase transition between the quantum spin hall and insulator phases in 3d: emergence of a topological gapless phase

Shuichi Murakami. Phase transition between the quantum spin hall and insulator phases in 3d: emergence of a topological gapless phase. New Journal of Physics , 9(9):356, 2007

2007