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REVIEW 4 major objections 5 minor 75 references

Magnons in the strained Heisenberg-Kitaev magnet

T0 review · 4 major / 5 minor · reviewed 2026-08-16 · deepseek-v4-flash

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Pith's one-line read Weak strain is enough to make Heisenberg-Kitaev magnon edge modes nonreciprocal, and twist strain can flatten them into edge-localized non-propagating bands across the Brillouin zone.

desk verdict Useful general strained Heisenberg-Kitaev magnon Hamiltonian and plausible uniaxial results, but the twist flat-band claim rests on an inconsistency between Eq. (6) and Eq. (7) and on an invalid small-twist regime. read the letter →

arxiv 2504.20225 v1 pith:O6C4KYWG submitted 2025-04-28 cond-mat.mes-hall

Miguel Letelier , Roberto E. Troncoso , Nicolas Vidal-Silva This is my paper · ORCID
classification cond-mat.mes-hall
keywords Heisenberg-KitaevmagnetsmagnonsstrainengineeringtopologicaledgemodesnonreciprocalflatbandsmagnonLandaulevelshoneycombnanoribbons
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

This paper sets out to establish how mechanical strain changes the magnon excitations of a two-dimensional Heisenberg-Kitaev ferromagnet, a honeycomb magnet whose spin interactions combine ordinary exchange ($J$) with bond-dependent Kitaev coupling ($K$). The authors derive a weakly strained magnon Hamiltonian in which the symmetric strain tensor enters through deformation fields, and they show the Hamiltonian is nonlocal in momentum space but becomes local for deformation fields linear in position. In nanoribbon calculations, uniaxial strain makes the bulk magnon bands more dispersive and shifts the crossing of the topologically protected in-gap edge modes, making them nonreciprocal near the Brillouin-zone boundary. For twist strain, simultaneous modulation of $J$ and $K$ produces flat bands with non-propagating, edge-localized topological magnon states across the Brillouin zone. A careful reader would care because the paper suggests strain offers a practical control knob for magnon velocity, density of states, and localization without destroying topological protection.

What carries the argument

The load-bearing object is the weak-strain expansion of each magnetic coupling, $X_{ij} \approx X - c_X h_\eta(r)$, where $h_\eta(r) = \delta^a_\eta \delta^b_\eta u_{ab}(r)$ projects the symmetric strain tensor onto the bond direction $\eta$ and $c_X$ is the strain derivative of that coupling. Inserting this expansion into a linear spin-wave magnon Hamiltonian generates the momentum-nonlocal blocks that carry all strain effects, including Kitaev-specific contributions that do not appear when only the exchange coupling is modulated. For displacement fields linear in position the Hamiltonian becomes local in momentum space and can be diagonalized exactly; for nanoribbons the bands are obtained numerically and read out through the spectral function. The machinery works by redistributing magnon states in momentum space rather than just shifting energies uniformly, acting like an elastic gauge field near the Dirac points.

What would settle it

Compute or measure the strain derivatives of the Heisenberg and Kitaev couplings in a candidate material and diagonalize the strained nanoribbon Hamiltonian: if the edge-mode crossing does not shift with the sign of the uniaxial strain, or if combined $J$-$K$ twist strain does not flatten the edge bands at the predicted strengths, the central claim is falsified.

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Extended reading notes

Core claim

The central claim is that weak lattice deformations, through a linear modulation of both Heisenberg and Kitaev couplings, qualitatively retune the topological magnon spectrum of a honeycomb Heisenberg-Kitaev ferromagnet. The strained magnon Hamiltonian (Eqs. 3-4) couples magnons with different momenta through strain-dependent fields built from the symmetric strain tensor; this momentum nonlocality disappears for linear displacement fields, making the Hamiltonian local and in principle exactly diagonalizable for an infinite sample. Uniaxial strain ($u \propto y^2 \hat{y}$) leaves topological protection intact but shifts the crossing of the in-gap edge modes and induces nonreciprocal group velocities tuned by strain strength. Twist strain, with separate parameters $\lambda_J$ and $\lambda_K$, flattens the edge modes at the zone boundary when only the Kitaev coupling is strained, and produces flat bands across the entire Brillouin zone when both couplings are strained together; the associated edge magnons remain strongly localized at the sample ends. The paper claims this establishes a general strain-based route to controlling magnon nonreciprocity, flat bands, and edge-state localization in Heisenberg-Kitaev magnets.

Load-bearing premise

The calculations assume each magnetic coupling responds to strain as a single slope multiplied by a smooth, small deformation field, with no higher-order or direction-dependent terms; if the actual Kitaev or Heisenberg couplings respond differently at the strains used, the predicted nonreciprocity and flat bands need not appear.

Editorial extensions

If this is right

  • Uniaxial strain shifts the crossing point of the two in-gap topological edge modes and makes their group velocities unequal near the Brillouin-zone boundary, with the imbalance controlled by the strain strength and sign.
  • Straining only the Kitaev coupling tends to flatten edge modes and push one mode toward hybridization with bulk bands, while straining only the Heisenberg coupling mainly changes band dispersion; topological protection keeps the mode from fully hybridizing by re-opening a gap.
  • Twist strain with both $J$ and $K$ modulated produces flat magnon bands over the entire Brillouin zone, yielding non-propagating edge states whose localization at the ribbon ends strengthens as the twist parameter increases.
  • The spectral function shows strain-induced magnon Landau levels and a strain-dependent redistribution of magnon weight between upper and lower bulk bands, indicating that strain controls the magnon density of states.
  • Because the localization and velocity of topological edge magnons survive under both strain types, the bulk-boundary correspondence can be tested under lattice deformation rather than only in pristine lattices.

Reading between the lines

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

  • Beyond the paper: the same linear-strain machinery should extend to other ordered phases of the Heisenberg-Kitaev model, such as zigzag or stripy order, after a local spin rotation, since the strain modulation enters the coupling constants rather than the magnetic order.
  • Beyond the paper: because the edge-mode crossing shifts with the sign of $c_J$ and $c_K$, reversing from compression to tension should reverse the nonreciprocity, offering a directional control for magnon transport that could be probed by inelastic light scattering before any full topological-invariant calculation.
  • Beyond the paper: the twist-induced flat bands with edge localization suggest a strain-tunable magnon flat-band platform; a natural next test is whether disorder or edge roughness preserves the localization at large twist strength, a question the paper leaves open.
  • Beyond the paper: since the strained Hamiltonian is nonlocal for general deformation fields, exact diagonalization for curved or nonlinear strain profiles might reveal momentum-mixing effects beyond Landau-level physics, a numerical extension the paper does not pursue.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

4 major / 5 minor

Summary. The paper develops a general linear spin-wave theory for weakly strained Heisenberg-Kitaev magnets, starting from a magnetoelastic coupling that modulates the Heisenberg, Kitaev, and anisotropic exchange terms according to the strain tensor. The resulting magnon Hamiltonian is nonlocal in momentum space for generic deformation fields and becomes local for displacement fields that are linear in position. The theory is then applied numerically to finite nanoribbons under two types of deformation: uniaxial strain, which is reported to shift edge-mode crossings and induce nonreciprocal in-gap magnon modes near the Brillouin zone boundary, and twist strain, which is reported to produce flat bands with non-propagative, edge-localized magnon states across the whole Brillouin zone. The central claims of the twist section rest on a particular assignment of which bonds are modulated by the twist, and this assignment is internally inconsistent with the derived bond-length formula.

Significance. If the uniaxial results stand, the paper provides a useful and self-contained framework for studying strained Heisenberg-Kitaev magnets, going beyond Dirac-point expansions and treating the full Brillouin zone. A clear strength is that the strain strengths are control parameters rather than fitted quantities, and the numerical diagonalization implements the stated model without circular fitting. The predicted strain-tunable edge-mode crossings and changes in magnon velocity are testable ingredients for future experiments. The twist flat-band claim, if correct, would be a genuinely novel qualitative effect. However, the twist analysis is undermined by an explicit contradiction between the bond-modulation formula (Eq. (6)) and the implementation used in the numerics (Eq. (7)), and by the use of a small-deformation expansion far outside its regime of validity. The nonreciprocity claim also needs sharpening because the presented velocity comparison is between opposite edges rather than opposite momenta. These issues are load-bearing for the two most distinctive conclusions of the paper.

major comments (4)
  1. [§IV B, Eqs. (6)–(7)] The bond modulation in Eq. (7) contradicts the bond-length formula of Eq. (6). For the lattice vectors given in Fig. 1, δ_y = a0(0,−1) has δ_{y,x} = 0, so Eq. (6) predicts that the vertical y bond is unmodulated (δ̃_y = δ_y), while the two slanted bonds δ_x and δ_z acquire length changes. Eq. (7), however, states X_x = X_y = X − c(y² + (a/2)y) and X_z = X, which modulates the vertical bond and leaves one slanted bond unchanged. Since the numerical twist calculations implement Eq. (7), they do not realize the deformation field defined by Eq. (6). The flat bands and non-propagative edge states shown in Figs. 5–7 are therefore computed from a different model than the one derived, so the central twist-strain claim is not supported.
  2. [§IV B, Eq. (7), Figs. 5–7] The small-twist expansion leading to Eq. (7) is uncontrolled for the parameter values used. With Ny = 20, the maximum vertical index is y_max = 29; the quantity q = (3/4)λ²(y² + (a/2)y) inside the square root of Eq. (6) is already about 26 at the upper edge for λ = 0.2 and exceeds 100 for λ = 0.5. The approximation exp(1 − √(1+q)) ≈ 1 − q/2, which underlies Eq. (7), is therefore invalid across most of the ribbon. Moreover, the linearized couplings X − c(y² + (a/2)y) become negative near the upper edge for the displayed λ values, indicating that the assumed ferromagnetic ground state is likely unstable in exactly the region where the flat-band modes localize. Thus the flat-band and controlled-localization results of Figs. 5–7 are not established within the stated weak-strain approximation.
  3. [§IV A, Fig. 4] The claim that uniaxial strain makes magnons 'strongly non-reciprocal' is not demonstrated by the plotted group velocities. The solid and dashed curves in Fig. 4 correspond to the 'upper' and 'lower' edge states, which are localized at opposite edges of the ribbon. Nonreciprocity of an edge magnon means that a mode on a given edge has group velocity v(k) ≠ −v(−k); comparing two distinct edge modes at the same k is a comparison of opposite edges, not of opposite momenta. To support the nonreciprocity conclusion, the authors should present v(k) and v(−k) for each edge separately, or rephrase the result as a strain-induced asymmetry between the two edge-localized modes.
  4. [§IV B and §V] The paper repeatedly refers to the edge modes as 'topologically protected' in the presence of strain, but no topological invariant is computed for the strained system. For position-dependent strain, translation invariance is broken and the bulk Chern number is not immediately defined; the edge localization shown in Figs. 6 and 7 is necessary but not sufficient evidence of topological protection. The authors themselves state in Section V that 'a comprehensive study on topological invariants ... is needed to get further conclusions,' which is in tension with the earlier claim of topologically protected flat bands. This point should either be addressed by a suitable definition of topological protection in the strained system or by softening the claims.
minor comments (5)
  1. [Fig. 5 caption] The caption reads 'λK = 085' for panel (b); this should presumably be 'λK = 0.8' with a decimal point.
  2. [Fig. 6 caption] The caption for panel (b) states 'λJ = λJ = 0.5'; the second entry should be λK, giving 'λJ = λK = 0.5'.
  3. [Abstract and Conclusions] There are two word-level typos: 'apparition' in the abstract should be 'appearance', and 'Landu Levels' in the Conclusions should be 'Landau Levels'.
  4. [§IV A] The notation Xᵢⱼˡ = X − γⁱʲ_η uⁱʲ is not clearly defined: γⁱʲ_η and uⁱʲ should be spelled out explicitly, and the relation to the earlier c_X and h_η(r) notation of Eq. (2) should be made explicit.
  5. [Fig. 1 caption] The uniaxial displacement field in the caption is written as 'u(r) = cχyA2ŷ', where the symbol A2 is not introduced in the text; the displacement field for the uniaxial case should be defined explicitly in Section IV A.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: strain strengths are independent control parameters and the strained-magnon results are computed from the model, not refitted to themselves.

full rationale

The derivation chain is self-contained. The magnetoelastic coupling is introduced as an expansion, Xij ≈ X − cX hη(r) (Eq. 2), whose coefficients cX are free parameters scanned in the numerics; none is fitted to reproduce the claimed edge-mode shifts, nonreciprocity, or flat bands. The magnon Hamiltonian (Eqs. 3–4) follows from the standard Holstein-Primakoff expansion and Fourier transform, with strain entering through the defined field hη(r); the claim that the Hamiltonian is nonlocal for general strains and local for linear displacement fields is a direct algebraic consequence of the momentum sums, not an imported conclusion. The unstrained topological phase is used only as the starting benchmark and is independently implemented (Fig. 2), with the Chern number and edge modes attributed to prior literature that is not the strain result. No uniqueness theorem from the authors' prior work is invoked, and no fitted parameter is renamed as a prediction. The skeptical note's observation that the twist modulation in Eq. (7) does not match the bond labeling of Eq. (6) is an internal consistency concern for the numerical implementation, not a circularity of the derivation; it does not change the circularity score.

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

The paper's predictions rest on hand-chosen strain strengths and several modeling assumptions, particularly the first-order magnetoelastic expansion and the twist bond assignment. No new physical entities are introduced; the strain fields and pseudo-magnetic fields are standard constructs.

free parameters (5)
  • c_J (Heisenberg magnetoelastic coupling) = 0.8, 1.5 (chosen values)
    Controls how strain modulates the Heisenberg exchange J; scanned by hand in Sec. IV.A.
  • c_K (Kitaev magnetoelastic coupling) = 0.8, 1.5 (chosen values)
    Controls how strain modulates the Kitaev coupling K; scanned by hand in Sec. IV.A.
  • lambda_J (twist strain strength for Heisenberg coupling) = 0.2, 0.3, 0.5, 0.8 (chosen values)
    Controls twist-induced modulation of J in Sec. IV.B.
  • lambda_K (twist strain strength for Kitaev coupling) = 0.2, 0.3, 0.5, 0.85 (chosen values)
    Controls twist-induced modulation of K in Sec. IV.B.
  • beta (Gruneisen parameter) = 1 (assumed)
    Used in Eq. (6) to relate bond-length change to coupling modulation; set to approximately 1 by hand.
assumptions (5)
  • domain assumption Linear spin wave theory (Holstein-Primakoff to bilinear order)
    Assumes low magnon density and collinear ferromagnetic order; used throughout Sec. III to obtain the tight-binding magnon Hamiltonian.
  • domain assumption Out-of-plane ferromagnetic order remains stable for phi=4pi/5, Gamma=0.5 under strain
    The paper relies on this for the strained-ribbon calculations (Sec. IV) but only cites stability for the Gamma=0 case and does not check the strained phase.
  • domain assumption First-order linear magnetoelastic expansion X_ij ≈ X - c_X h_eta(r)
    Eq. (2) is the foundation of the strain model; it assumes small smooth deformations and a scalar derivative c_X for each coupling.
  • ad hoc to paper Twist deformation only affects bonds x and y (X_z = X)
    Eq. (7) makes this assignment, but it is not implied by Eq. (6) with the Fig. 1 bond vectors; the flat-band result depends on it.
  • domain assumption Exponential bond-length dependence of couplings under twist with beta≈1
    Introduced in Sec. IV.B to derive Eq. (6); the Gruneisen parameter is set to 1 by hand.

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Cite this review

Pith. "Pith review of Magnons in the strained Heisenberg-Kitaev magnet." pith.science (2026). https://pith.science/paper/O6C4KYWG

@misc{pith2026250420225,
  author       = {Pith},
  title        = {Pith review of: Magnons in the strained Heisenberg-Kitaev magnet},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/O6C4KYWG}},
  note         = {Machine review of arXiv:2504.20225}
}
read the original abstract

The properties of magnons hosted in strained Heisenberg-Kitaev magnets are investigated using numerical and analytical calculations. Considering that deformation fields modulate the coupling parameters, we find a general expression for the weakly strained magnon Hamiltonian that depends on the (symmetric) strain tensor. We numerically tested our results in finite nanoribbon structures. We found that uniaxial deformations make the bulk bands more dispersive while topologically protected in-gap edge modes become nonreciprocal at the boundary of the Brillouin Zone. On the other hand, when applying a twist deformation, the simultaneous modulation of both Heisenberg and Kitaev parameters enables the apparition of flat bands, promoting the presence of non-propagative topologically protected magnonic edge states, whose properties strongly depends on the strain strength. In addition, the characteristic localization of magnon edge modes is preserved, which allows for testing the robustness of the bulk-boundary correspondence under lattice deformations. Our results contribute to a major understanding of Heisenberg-Kitaev magnets and how applying different strains allows for precise control over magnon properties.

Figures

Figures reproduced from arXiv: 2504.20225 by the authors.

Figure 1
Figure 1. FIG. 1. Schematic setups for the strained hexagonal lat [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. Undeformed magnon energy and spectral function in [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. Deformed H-K nanoribbon under the application of an uniaxial strain for [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figures from the paper (3 more)
Figure 4
Figure 4. Figure 4: FIG. 4. Magnon group velocity around [PITH_FULL_IMAGE:figures/full_fig_p006_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5. (Upper) Twisted H-K nanoribbon for [PITH_FULL_IMAGE:figures/full_fig_p007_5.png]
Figure 6
Figure 6. Figure 6: FIG. 6. (Upper) Magnon bands of the twisted H-K nanorib [PITH_FULL_IMAGE:figures/full_fig_p008_6.png]

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

75 extracted references · 75 canonical work pages

  1. [1]

    author author Anastas Akhmetovich \ Bukharaev , author Anatolii K \ Zvezdin , author Aleksandr P \ Pyatakov , \ and\ author Yuri K \ Fetisov ,\ title title Straintronics: a new trend in micro-and nanoelectronics and materials science , \ @noop journal journal Physics-Uspekhi \ volume 61 ,\ pages 1175 ( year 2018 ) NoStop

    work page 2018

  2. [2]

    author author Feng \ Miao , author Shi-Jun \ Liang , \ and\ author Bin \ Cheng ,\ title title Straintronics with van der waals materials , \ @noop journal journal npj Quantum Materials \ volume 6 ,\ pages 59 ( year 2021 ) NoStop

    work page 2021

  3. [3]

    author author Kuntal \ Roy , author Supriyo \ Bandyopadhyay , \ and\ author Jayasimha \ Atulasimha ,\ title title Hybrid spintronics and straintronics: A magnetic technology for ultra low energy computing and signal processing , \ @noop journal journal Applied Physics Letters \ volume 99 ( year 2011 ) NoStop

    work page 2011

  4. [4]

    author author Supriyo \ Bandyopadhyay ,\ title title Perspective: There is plenty of room for magnetic straintronics in the analog domain , \ @noop journal journal npj Spintronics \ volume 2 ,\ pages 15 ( year 2024 ) NoStop

    work page 2024

  5. [5]

    author author Y Sun , author SE Thompson , \ and\ author T Nishida ,\ title title Physics of strain effects in semiconductors and metal-oxide-semiconductor field-effect transistors , \ @noop journal journal Journal of Applied Physics \ volume 101 ( year 2007 ) NoStop

    work page 2007

  6. [6]

    author author Yongke \ Sun , author Scott E \ Thompson , \ and\ author Toshikazu \ Nishida ,\ @noop title Strain effect in semiconductors: theory and device applications \ ( publisher Springer Science & Business Media ,\ year 2009 ) NoStop

    work page 2009

  7. [7]

    author author Darrell G \ Schlom , author Long-Qing \ Chen , author Chang-Beom \ Eom , author Karin M \ Rabe , author Stephen K \ Streiffer , \ and\ author Jean-Marc \ Triscone ,\ title title Strain tuning of ferroelectric thin films , \ @noop journal journal Annu. Rev. Mater. Res. \ volume 37 ,\ pages 589--626 ( year 2007 ) NoStop

    work page 2007

  8. [8]

    ,\ title title Room-temperature ferroelectricity in strained srtio3 , \ @noop journal journal Nature \ volume 430 ,\ pages 758--761 ( year 2004 ) NoStop

    author author JH Haeni , author Patrick \ Irvin , author W Chang , author Reinhard \ Uecker , author P Reiche , author YL Li , author Shak \ Choudhury , author Wei \ Tian , author ME Hawley , author B Craigo , et al. ,\ title title Room-temperature ferroelectricity in strained srtio3 , \ @noop journal journal Nature \ volume 430 ,\ pages 758--761 ( year 2...

    work page 2004

Show all 75 references
  1. [9]

    author author Y Liu , author YY Li , author S Rajput , author D Gilks , author Leonardo \ Lari , author PL Galindo , author M Weinert , author VK Lazarov , \ and\ author L Li ,\ title title Tuning dirac states by strain in the topological insulator bi 2 se 3 , \ @noop journal ...

    2014

  2. [10]

    author author Hugo \ Aramberri \ and\ author M Carmen \ Mu \ n oz ,\ title title Strain effects in topological insulators: Topological order and the emergence of switchable topological interface states in sb 2 te 3/bi 2 te 3 heterojunctions , \ @noop journal journal Physical R...

    2017

  3. [11]

    author author Luis A \ Agapito , author Nicholas \ Kioussis , author William A \ Goddard III , \ and\ author Nai Phuan \ Ong ,\ title title Novel family of chiral-based topological insulators: elemental tellurium under strain , \ @noop journal journal Physical review letters \...

    2013

  4. [12]

    ,\ title title Strain-stabilized superconductivity , \ @noop journal journal Nature Communications \ volume 12 ,\ pages 59 ( year 2021 ) NoStop

    author author Jacob P \ Ruf , author Hanjong \ Paik , author Nathaniel J \ Schreiber , author Hari P \ Nair , author Ludi \ Miao , author Jason K \ Kawasaki , author Jocienne N \ Nelson , author Brendan D \ Faeth , author Yonghun \ Lee , author Berit H \ Goodge , et al. ,\ tit...

    2021

  5. [13]

    author author AV Pogrebnyakov , author JM Redwing , author S Raghavan , author V Vaithyanathan , author DG Schlom , author SY Xu , author Qi Li , author DA Tenne , author A Soukiassian , author XX Xi , et al. ,\ title title Enhancement of the superconducting transition tempera...

    2004

  6. [14]

    author author JW Ekin ,\ title title Strain effects in superconducting compounds , \ in\ @noop booktitle Advances in Cryogenic Engineering Materials: Volume 30 \ ( publisher Springer ,\ year 1984 )\ pp.\ pages 823--836 NoStop

    1984

  7. [15]

    author author Junli \ Du , author Huihui \ Yu , author Baishan \ Liu , author Mengyu \ Hong , author Qingliang \ Liao , author Zheng \ Zhang , \ and\ author Yue \ Zhang ,\ title title Strain engineering in 2d material-based flexible optoelectronics , \ @noop journal journal Sm...

    2021

  8. [16]

    author author Feng \ Li , author Tao \ Shen , author Cong \ Wang , author Yupeng \ Zhang , author Junjie \ Qi , \ and\ author Han \ Zhang ,\ title title Recent advances in strain-induced piezoelectric and piezoresistive effect-engineered 2d semiconductors for adaptive electron...

    2020

  9. [17]

    author author Ahmed Raza \ Khan , author Teng \ Lu , author Wendi \ Ma , author Yuerui \ Lu , \ and\ author Yun \ Liu ,\ title title Tunable optoelectronic properties of ws2 by local strain engineering and folding , \ @noop journal journal Advanced Electronic Materials \ volum...

    2020

  10. [18]

    author author Lucas \ Webster \ and\ author Jia-An \ Yan ,\ title title Strain-tunable magnetic anisotropy in monolayer crcl 3, crbr 3, and cri 3 , \ @noop journal journal Physical Review B \ volume 98 ,\ pages 144411 ( year 2018 ) NoStop

    2018

  11. [19]

    author author John \ Cenker , author Shivesh \ Sivakumar , author Kaichen \ Xie , author Aaron \ Miller , author Pearl \ Thijssen , author Zhaoyu \ Liu , author Avalon \ Dismukes , author Jordan \ Fonseca , author Eric \ Anderson , author Xiaoyang \ Zhu , et al. ,\ title title...

    2022

  12. [20]

    author author Na Lei , author Thibaut \ Devolder , author Guillaume \ Agnus , author Pascal \ Aubert , author Laurent \ Daniel , author Joo-Von \ Kim , author Weisheng \ Zhao , author Theodossis \ Trypiniotis , author Russell P \ Cowburn , author Claude \ Chappert , et al. ,\ ...

    2013

  13. [21]

    author author Gerardo G \ Naumis , author Salvador \ Barraza-Lopez , author Maurice \ Oliva-Leyva , \ and\ author Humberto \ Terrones ,\ title title Electronic and optical properties of strained graphene and other strained 2d materials: a review , \ @noop journal journal Repor...

    2017

  14. [22]

    author author RM Ribeiro , author Vitor M \ Pereira , author NMR \ Peres , author PR Briddon , \ and\ author AH Castro \ Neto ,\ title title Strained graphene: tight-binding and density functional calculations , \ @noop journal journal New Journal of Physics \ volume 11 ,\ pag...

    2009

  15. [23]

    author author Chen \ Si , author Zhimei \ Sun , \ and\ author Feng \ Liu ,\ title title Strain engineering of graphene: a review , \ @noop journal journal Nanoscale \ volume 8 ,\ pages 3207--3217 ( year 2016 ) NoStop

    2016

  16. [24]

    author author Hidekatsu \ Suzuura \ and\ author Tsuneya \ Ando ,\ title title Phonons and electron-phonon scattering in carbon nanotubes , \ @noop journal journal Physical review B \ volume 65 ,\ pages 235412 ( year 2002 ) NoStop

    2002

  17. [25]

    author author Francisco \ Guinea , author Mikhail I \ Katsnelson , \ and\ author AK Geim ,\ title title Energy gaps and a zero-field quantum hall effect in graphene by strain engineering , \ @noop journal journal Nature Physics \ volume 6 ,\ pages 30--33 ( year 2010 a ) NoStop

    2010

  18. [26]

    author author Francisco \ Guinea , author AK Geim , author Mikhail I \ Katsnelson , \ and\ author KS Novoselov ,\ title title Generating quantizing pseudomagnetic fields by bending graphene ribbons , \ @noop journal journal Physical Review B—Condensed Matter and Materials Phys...

    2010

  19. [27]

    author author Maria AH \ Vozmediano , author MI Katsnelson , \ and\ author Francisco \ Guinea ,\ title title Gauge fields in graphene , \ @noop journal journal Physics Reports \ volume 496 ,\ pages 109--148 ( year 2010 ) NoStop

    2010

  20. [28]

    author author N Levy , author SA Burke , author KL Meaker , author M Panlasigui , author A Zettl , author F Guinea , author AH Castro \ Neto , \ and\ author Michael F \ Crommie ,\ title title Strain-induced pseudo--magnetic fields greater than 300 tesla in graphene nanobubbles...

    2010

  21. [29]

    author author Seon-Myeong \ Choi , author Seung-Hoon \ Jhi , \ and\ author Young-Woo \ Son ,\ title title Effects of strain on electronic properties of graphene , \ @noop journal journal Physical Review B—Condensed Matter and Materials Physics \ volume 81 ,\ pages 081407 ( yea...

    2010

  22. [30]

    author author Giulio \ Cocco , author Emiliano \ Cadelano , \ and\ author Luciano \ Colombo ,\ title title Gap opening in graphene by shear strain , \ @noop journal journal Physical Review B—Condensed Matter and Materials Physics \ volume 81 ,\ pages 241412 ( year 2010 ) NoStop

    2010

  23. [31]

    author author Chen \ Si , author Zheng \ Liu , author Wenhui \ Duan , \ and\ author Feng \ Liu ,\ title title First-principles calculations on the effect of doping and biaxial tensile strain<? format?> on electron-phonon coupling in graphene , \ @noop journal journal Physical ...

    2013

  24. [32]

    ,\ title title The 2024 magnonics roadmap , \ @noop journal journal Journal of Physics: Condensed Matter \ volume 36 ,\ pages 363501 ( year 2024 ) NoStop

    author author Benedetta \ Flebus , author Dirk \ Grundler , author Bivas \ Rana , author Yoshichika \ Otani , author Igor \ Barsukov , author Anjan \ Barman , author Gianluca \ Gubbiotti , author Pedro \ Landeros , author Johan \ Akerman , author Ursula \ Ebels , et al. ,\ tit...

    2024

  25. [33]

    author author Andrii V \ Chumak , author Vitaliy I \ Vasyuchka , author Alexander A \ Serga , \ and\ author Burkard \ Hillebrands ,\ title title Magnon spintronics , \ @noop journal journal Nature physics \ volume 11 ,\ pages 453--461 ( year 2015 ) NoStop

    2015

  26. [34]

    author author HY Yuan , author Yunshan \ Cao , author Akashdeep \ Kamra , author Rembert A \ Duine , \ and\ author Peng \ Yan ,\ title title Quantum magnonics: When magnon spintronics meets quantum information science , \ @noop journal journal Physics Reports \ volume 965 ,\ p...

    2022

  27. [35]

    author author Andrii V \ Chumak , author Alexander A \ Serga , \ and\ author Burkard \ Hillebrands ,\ title title Magnon transistor for all-magnon data processing , \ @noop journal journal Nature communications \ volume 5 ,\ pages 4700 ( year 2014 ) NoStop

    2014

  28. [36]

    author author Verena \ Brehm , author Stefan \ Stagraczy \'n ski , author J \'o zef \ Barna \'s , author Anna \ Dyrda , \ and\ author Alireza \ Qaiumzadeh ,\ title title Magnon dispersion and spin transport in crcl 3 bilayers under different strain-induced magnetic states , \ ...

    2024

  29. [37]

    author author Hun-Ho \ Kim , author Kentaro \ Ueda , author Suguru \ Nakata , author Peter \ Wochner , author Andrew \ Mackenzie , author Clifford \ Hicks , author Giniyat \ Khaliullin , author Huimei \ Liu , author Bernhard \ Keimer , \ and\ author Matteo \ Minola ,\ title ti...

    2022

  30. [38]

    author author Ke Wang , author Kai \ Ren , author Yinlong \ Hou , author Dan \ Yang , \ and\ author Gang \ Zhang ,\ title title Strain effects on the magnon-magnon interaction and magnon relaxation time in ferromagnetic cr ge te 3 , \ @noop journal journal Physical Review Appl...

    2024

  31. [39]

    author author Mary Madelynn \ Nayga , author Stephan \ Rachel , \ and\ author Matthias \ Vojta ,\ title title Magnon landau levels and emergent supersymmetry in strained antiferromagnets , \ @noop journal journal Physical Review Letters \ volume 123 ,\ pages 207204 ( year 2019...

    2019

  32. [40]

    author author Junsong \ Sun , author Huaiming \ Guo , \ and\ author Shiping \ Feng ,\ title title Magnon landau levels in the strained antiferromagnetic honeycomb nanoribbons , \ @noop journal journal Physical Review Research \ volume 3 ,\ pages 043223 ( year 2021 a ) NoStop

    2021

  33. [41]

    author author Bin \ Wei , author Jia-Ji \ Zhu , author Yun \ Song , \ and\ author Kai \ Chang ,\ title title Strain-engineered magnon states in two-dimensional ferromagnetic monolayers , \ @noop journal journal Physical Review Research \ volume 6 ,\ pages 013210 ( year 2024 ) NoStop

    2024

  34. [42]

    author author Junsong \ Sun , author Nvsen \ Ma , author Tao \ Ying , author Huaiming \ Guo , \ and\ author Shiping \ Feng ,\ title title Quantum monte carlo study of honeycomb antiferromagnets under a triaxial strain , \ @noop journal journal Physical Review B \ volume 104 ,\...

    2021

  35. [43]

    author author Yago \ Ferreiros \ and\ author Mar \' a AH \ Vozmediano ,\ title title Elastic gauge fields and hall viscosity of dirac magnons , \ @noop journal journal Physical Review B \ volume 97 ,\ pages 054404 ( year 2018 ) NoStop

    2018

  36. [44]

    author author SA Owerre ,\ title title Strain-induced topological magnon phase transitions: Applications to kagome-lattice ferromagnets , \ @noop journal journal Journal of Physics: Condensed Matter \ volume 30 ,\ pages 245803 ( year 2018 ) NoStop

    2018

  37. [45]

    author author Nicolas \ Vidal-Silva \ and\ author Roberto E \ Troncoso ,\ title title Time-dependent strain-tuned topological magnon phase transition , \ @noop journal journal Physical Review B \ volume 106 ,\ pages 224401 ( year 2022 ) NoStop

    2022

  38. [46]

    author author Maarten \ Soenen \ and\ author Milorad V \ Milo s evi \'c ,\ title title Tunable magnon topology in monolayer cri 3 under external stimuli , \ @noop journal journal Physical Review Materials \ volume 7 ,\ pages 084402 ( year 2023 ) NoStop

    2023

  39. [47]

    author author Yongjian \ Zhou , author Tingwen \ Guo , author Leilei \ Qiao , author Qian \ Wang , author Meng \ Zhu , author Jia \ Zhang , author Quan \ Liu , author Mingkun \ Zhao , author Caihua \ Wan , author Wenqing \ He , et al. ,\ title title Piezoelectric strain-contro...

    2022

  40. [48]

    author author Hiroki \ Kondo \ and\ author Yutaka \ Akagi ,\ title title Nonlinear magnon spin nernst effect in antiferromagnets and strain-tunable pure spin current , \ @noop journal journal Physical Review Research \ volume 4 ,\ pages 013186 ( year 2022 ) NoStop

    2022

  41. [49]

    author author JJL \ Van Rijn , author BJ Van Wees , \ and\ author T Banerjee ,\ title title Magnon transport in antiferromagnetic strained srmno 3 thin films , \ @noop journal journal Physical Review B \ volume 110 ,\ pages 144446 ( year 2024 ) NoStop

    2024

  42. [50]

    author author Esteban \ Aguilera , author Rodrigo \ Jaeschke-Ubiergo , author Nicolas \ Vidal-Silva , author Luis EF Foa \ Torres , \ and\ author AS Nunez ,\ title title Topological magnonics in the two-dimensional van der waals magnet cri 3 , \ @noop journal journal Physical ...

    2020

  43. [51]

    author author Inhee \ Lee , author Franz G \ Utermohlen , author Daniel \ Weber , author Kyusung \ Hwang , author Chi \ Zhang , author Johan \ van Tol , author Joshua E \ Goldberger , author Nandini \ Trivedi , \ and\ author P Chris \ Hammel ,\ title title Fundamental spin int...

    2020

  44. [52]

    author author RL Smit , author S Keupert , author O Tsyplyatyev , author PA Maksimov , author Alexander L \ Chernyshev , \ and\ author P Kopietz ,\ title title Magnon damping in the zigzag phase of the kitaev-heisenberg- model on a honeycomb lattice , \ @noop journal journal P...

    2020

  45. [53]

    author author Fei-Ye \ Li , author Yao-Dong \ Li , author Yue \ Yu , author Arun \ Paramekanti , \ and\ author Gang \ Chen ,\ title title Kitaev materials beyond iridates: Order by quantum disorder and weyl magnons in rare-earth double perovskites , \ @noop journal journal Phy...

    2017

  46. [54]

    author author PA Maksimov \ and\ author AL Chernyshev ,\ title title Easy-plane anisotropic-exchange magnets on a honeycomb lattice: Quantum effects and dealing with them , \ @noop journal journal Physical Review B \ volume 106 ,\ pages 214411 ( year 2022 ) NoStop

    2022

  47. [55]

    author author Kangkang \ Li ,\ title title Thermal hall conductivity with sign change in the heisenberg--kitaev kagome magnet , \ @noop journal journal Communications in Theoretical Physics \ volume 75 ,\ pages 015702 ( year 2022 ) NoStop

    2022

  48. [56]

    author author Ilkem Ozge \ Ozel , author Carina A \ Belvin , author Edoardo \ Baldini , author Itamar \ Kimchi , author Seunghwan \ Do , author Kwang-Yong \ Choi , \ and\ author Nuh \ Gedik ,\ title title Magnetic field-dependent low-energy magnon dynamics in --rucl 3 , \ @noo...

    2019

  49. [57]

    author author Kangkang \ Li ,\ title title Topological magnons in kitaev magnets with finite dzyaloshinskii-moriya interaction at high field , \ @noop journal journal Chinese Physics Letters \ volume 40 ,\ pages 027502 ( year 2023 ) NoStop

    2023

  50. [58]

    author author Darshan G \ Joshi ,\ title title Topological excitations in the ferromagnetic kitaev-heisenberg model , \ @noop journal journal Physical Review B \ volume 98 ,\ pages 060405 ( year 2018 ) NoStop

    2018

  51. [59]

    author author Li-Chuan \ Zhang , author Fengfeng \ Zhu , author Dongwook \ Go , author Fabian R \ Lux , author Flaviano Jos \'e \ dos Santos , author Samir \ Lounis , author Yixi \ Su , author Stefan \ Bl \"u gel , \ and\ author Yuriy \ Mokrousov ,\ title title Interplay of dz...

    2021

  52. [60]

    author author Jose D \ Mella , author LEF Foa \ Torres , \ and\ author Roberto E \ Troncoso ,\ title title Chiral magnon-polaron edge states in heisenberg-kitaev magnets , \ @noop journal journal Physical Review B \ volume 110 ,\ pages 104433 ( year 2024 ) NoStop

    2024

  53. [61]

    author author Mikael \ Fremling \ and\ author Lars \ Fritz ,\ title title Sachdev-ye-kitaev type physics in the strained kitaev honeycomb model , \ @noop journal journal Physical Review B \ volume 105 ,\ pages 085147 ( year 2022 ) NoStop

    2022

  54. [62]

    author author Adhip \ Agarwala , author Subhro \ Bhattacharjee , author Johannes \ Knolle , \ and\ author Roderich \ Moessner ,\ title title Gapless state of interacting majorana fermions in a strain-induced landau level , \ @noop journal journal Physical Review B \ volume 103...

    2021

  55. [63]

    author author Ravi \ Yadav , author Stephan \ Rachel , author Liviu \ Hozoi , author Jeroen \ van den Brink , \ and\ author George \ Jackeli ,\ title title Strain-and pressure-tuned magnetic interactions in honeycomb kitaev materials , \ @noop journal journal Physical Review B...

    2018

  56. [64]

    author author Heung-Sik \ Kim , author Choong H \ Kim , author Hogyun \ Jeong , author Hosub \ Jin , \ and\ author Jaejun \ Yu ,\ title title Strain-induced topological insulator phase and effective magnetic interactions in li 2 iro 3 , \ @noop journal journal Physical Review ...

    2013

  57. [65]

    author author Hidenori \ Takagi , author Tomohiro \ Takayama , author George \ Jackeli , author Giniyat \ Khaliullin , \ and\ author Stephen E \ Nagler ,\ title title Concept and realization of kitaev quantum spin liquids , \ @noop journal journal Nature Reviews Physics \ volu...

    2019

  58. [66]

    author author PA McClarty , author X-Y \ Dong , author M Gohlke , author JG Rau , author F Pollmann , author R Moessner , \ and\ author K Penc ,\ title title Topological magnons in kitaev magnets at high fields , \ @noop journal journal Physical Review B \ volume 98 ,\ pages 0...

    2018

  59. [67]

    author author Lukas \ Janssen \ and\ author Matthias \ Vojta ,\ title title Heisenberg–kitaev physics in magnetic fields , \ 10.1088/1361-648x/ab283e journal journal Journal of Physics: Condensed Matter \ volume 31 ,\ pages 423002 ( year 2019 ) NoStop

    doi

  60. [68]

    author author Wilhelm G. F. \ Kr\"uger , author Matthias \ Vojta , \ and\ author Lukas \ Janssen ,\ title title Heisenberg-kitaev models on hyperhoneycomb and stripy-honeycomb lattices: 3d-2d equivalence of ordered states and phase diagrams , \ 10.1103/PhysRevResearch.2.012021...

    doi

  61. [69]

    author author Lukas \ Janssen , author Eric C \ Andrade , \ and\ author Matthias \ Vojta ,\ title title Honeycomb-lattice heisenberg-kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals , \ @noop journal journal Physical review letters \ volume 11...

    2016

  62. [70]

    author author Theodore \ Holstein \ and\ author Henry \ Primakoff ,\ title title Field dependence of the intrinsic domain magnetization of a ferromagnet , \ @noop journal journal Physical Review \ volume 58 ,\ pages 1098 ( year 1940 ) NoStop

    1940

  63. [71]

    author author Tianyu \ Liu \ and\ author Zheng \ Shi ,\ title title Strain-induced dispersive landau levels: Application in twisted honeycomb magnets , \ 10.1103/PhysRevB.103.144420 journal journal Phys. Rev. B \ volume 103 ,\ pages 144420 ( year 2021 ) NoStop

    doi

  64. [72]

    author author Martin \ Mourigal , author Mike E \ Zhitomirsky , \ and\ author Alexander L \ Chernyshev ,\ title title Field-induced decay dynamics in square-lattice antiferromagnets , \ @noop journal journal Physical Review B—Condensed Matter and Materials Physics \ volume 82 ...

    2010

  65. [73]

    author author ME Zhitomirsky \ and\ author AL Chernyshev ,\ title title Colloquium: Spontaneous magnon decays , \ @noop journal journal Reviews of Modern Physics \ volume 85 ,\ pages 219--242 ( year 2013 ) NoStop

    2013

  66. [74]

    author author JHP \ Colpa ,\ title title Diagonalization of the quadratic boson hamiltonian , \ @noop journal journal Physica A: Statistical Mechanics and its Applications \ volume 93 ,\ pages 327--353 ( year 1978 ) NoStop

    1978

  67. [75]

    author author Nicolas \ Vidal-Silva , author Francisco J \ Pe \ n a , author Roberto E \ Troncoso , \ and\ author Patricio \ Vargas ,\ title title Magnonic otto thermal machine , \ @noop journal journal Physical Review Research \ volume 6 ,\ pages 033164 ( year 2024 ) NoStop

    2024

Pith tools

Reviewed August 16, 2026 · model on record in the stance chip above.