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REVIEW 4 major objections 5 minor 88 references

Fermi surface nesting driven anomalous Hall effect in magnetically frustrated Mn_2PdIn

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

Pith's one-line read The paper establishes that the inverse Heusler alloy Mn2PdIn, despite a spin-glassy nearly compensated magnetic state, hosts Weyl-type band crossings and an intrinsic anomalous Hall effect driven by Berry curvature and Fermi surface…

desk verdict Solid experimental study of a new AHE material, but the Berry-curvature/Weyl interpretation rests on a collinear magnetic state that the paper's own data say is not the ground state. read the letter →

arxiv 2505.02769 v1 pith:I3XZANEL submitted 2025-05-05 cond-mat.mtrl-sci

classification cond-mat.mtrl-sci
keywords Mn2PdIninverseHeusleralloyanomalousHalleffectBerrycurvatureFermisurfacenestingspinclusterglassWeylsemimetalmagnetotransport
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

Mn2PdIn is an inverse Heusler alloy (a cubic intermetallic with four interpenetrating fcc sublattices) whose manganese moments almost cancel, leaving a net magnetization near zero. The paper argues that, despite freezing into a spin cluster glass (a frozen state of disordered magnetic clusters), this compound has a topologically nontrivial electronic structure: Weyl-type band crossings sit near the Fermi level and the Fermi surface contains nested, near-parallel pockets. The measured anomalous Hall effect is then intrinsic, coming from Berry curvature rather than from impurity skew scattering; the key evidence is that the anomalous Hall resistivity scales quadratically with the longitudinal resistivity and the anomalous Hall conductivity is nearly temperature independent. If this is right, Mn2PdIn offers a route to low-moment, frustration-prone magnets that still give clear transverse transport signals, which matters for spintronics.

What carries the argument

The load-bearing object is the nesting geometry of the Fermi surface in a time-reversal-broken, spin-orbit-coupled metal. A nesting vector $q_{\rm nest}\sim\Gamma\to X$ connects dispersive Mn $e_g$ electron-like pockets at $\Gamma$ with quasi-flat, hybridized Mn $t_{2g}$-Pd $t_{2g}$ hole-like pockets near $X$; the near-parallel contours and the orbital contrast between them enhance interband scattering, while spin-orbit coupling opens small gaps of order 20-50 meV at the band crossings and turns those crossings into sources and sinks of Berry curvature. The linear-response formalism then integrates this Berry curvature over the Brillouin zone to obtain an intrinsic anomalous Hall conductivity, and the quadratic relation $\rho^A_{xy}\propto\rho_{xx}^2$ together with a temperature-independent $\sigma^A_{xy}$ is used as the experimental fingerprint of that intrinsic mechanism.

What would settle it

A neutron diffraction or muon-spin rotation experiment below the freezing temperature could settle it: if it finds no collinear ferrimagnetic order with manganese moments near $\pm 3.5\,\mu_B$, the computed Weyl crossings, nesting vector, and Berry curvature cannot be the mechanism producing the measured anomalous Hall effect.

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Extended reading notes

Core claim

The central claim is that Mn2PdIn is a topologically nontrivial metal whose anomalous Hall effect is intrinsic. In the paper's picture, the inverse Heusler structure hosts two inequivalent manganese sublattices with opposing moments ($+3.75$ and $-3.48\,\mu_B$ from first-principles calculations; net $0.39\,\mu_B$ per formula unit, against $0.46\,\mu_B$ from magnetization data), leaving a nearly compensated ferrimagnet that freezes into a spin cluster glass below about 65.5 K. First-principles electronic-structure calculations with spin-orbit coupling find Weyl-type band crossings close to the Fermi level and a Fermi surface with an electron-like Mn $e_g$ pocket at $\Gamma$ nested against hole-like Mn $t_{2g}$/Pd $t_{2g}$ pockets near $X$ through a nesting vector $q_{\rm nest}\sim\Gamma\to X$. Linear-response integration of the Berry curvature gives an intrinsic anomalous Hall conductivity of about 132 S cm$^{-1}$ at the Fermi level, rising to roughly 937-1003 S cm$^{-1}$ when the chemical potential is shifted by $-2.1$ or $+0.8$ eV. Experimentally, the anomalous Hall resistivity obeys $\rho^A_{xy}\propto\rho_{xx}^2$, the anomalous Hall conductivity is about 50 S cm$^{-1}$ and nearly temperature independent, and scaling analysis places skew scattering as a minor contributor; the paper reads these as confirmation that the anomalous Hall effect is dominated by the intrinsic Berry-curvature/nesting mechanism.

Load-bearing premise

The calculations assume a collinear ferrimagnetic arrangement of the manganese moments with values near $+3.75$ and $-3.48\,\mu_B$, whereas the measured sample is a spin cluster glass with no confirmed long-range magnetic order; if the true magnetic structure differs, the predicted Weyl crossings, nesting vector, and Berry curvature need not describe the measured Hall effect.

Editorial extensions

If this is right

  • Mn2PdIn becomes a concrete example of an inverse Heusler alloy with suppressed net magnetization and an intrinsic anomalous Hall response, relevant for spintronic applications.
  • The Fermi-surface nesting criterion (nested electron- and hole-like pockets with orbital contrast in a spin-orbit-coupled magnet) can be used to screen other Heusler and related intermetallics for anomalous Hall activity.
  • Because the computed anomalous Hall conductivity rises strongly when the chemical potential shifts away from the Fermi level, doping or strain that moves $E_F$ should produce a much larger intrinsic anomalous Hall effect than measured in the stoichiometric compound.
  • The quadratic $\rho^A_{xy}$-$\rho_{xx}$ scaling, together with the scaling analysis, implies that skew scattering is not the origin of the anomalous Hall effect; intrinsic and side-jump contributions dominate even in a spin-glass host.

Reading between the lines

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

  • Going beyond the paper, if the true magnetic ground state is a noncollinear cluster glass rather than the collinear ferrimagnet assumed in the calculations, the measured Hall effect might instead arise from local noncollinear spin textures or disorder-modified bands; neutron scattering would decide between these.
  • Going beyond the paper, the predicted sharp rise of the anomalous Hall conductivity when the chemical potential shifts by $-2.1$ or $+0.8$ eV makes doping a direct test: substituting a neighboring element to move $E_F$ should either produce a much larger anomalous Hall effect or rule out the band-structure mechanism.
  • Going beyond the paper, the nesting criterion itself is transferable: screening isostructural Mn$_2$Pd-based and related Heusler compounds for parallel Fermi contours with contrasting orbital character could identify other anomalous-Hall-active magnets.
  • Going beyond the paper, angle-resolved photoemission on a single crystal could directly test the calculated flat Mn $e_g$/Pd $t_{2g}$ bands and the Weyl-type crossings near the Fermi level.
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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 manuscript reports a combined experimental and DFT study of the inverse Heusler compound Mn2PdIn. Experimental characterization by XRD, TEM, magnetometry, ac susceptibility, and transport shows a spin cluster-glass ground state with quenched magnetization and an anomalous Hall effect (σ_xy ≈ 50 S/cm at 5 K) whose ρ_A versus ρ_xx scaling is quadratic. DFT calculations assume a collinear ferrimagnetic state with opposing Mn moments (net 0.39 μB/f.u.) and yield Weyl-type crossings near E_F, pronounced Fermi-surface nesting, and an intrinsic anomalous Hall conductivity of about 132 S/cm. The paper argues that the measured AHE originates from this topological electronic structure and proposes nesting-induced inter-orbital scattering as a design criterion for AHE-active Heusler compounds.

Significance. If the interpretation were sound, the work would be significant: it would identify a nearly compensated magnetic Heusler system with a robust AHE and propose a concrete electronic-structure design criterion. The experimental data set is fairly complete and internally consistent, and the use of standard TYJ scaling is appropriate as a first step. The DFT calculation is ab initio and not fitted to the measured AHE. However, the central interpretive link is weakened by the mismatch between the magnetic state assumed in the calculation and the state actually characterized in the experiment; the calculated topological properties and AHC cannot be directly assigned to the measured sample without additional evidence. This issue is load-bearing for the paper's main claims.

major comments (4)
  1. [Magnetometry (Figs. 2–3) and DFT electronic structure] The DFT calculations assume a collinear ferrimagnetic state with Mn moments +3.75 and −3.48 μB/f.u. (net 0.39 μB/f.u.), whereas the manuscript's own magnetic characterization shows a spin cluster-glass ground state with quenched magnetization, memory and relaxation effects, and frequency-dependent freezing, i.e., no long-range magnetic order. M(H) at 2 K continues to increase up to 7 T without saturation, so the high-field state probed in transport is not shown to be the calculated FiM state. Because the computed Berry curvature, nesting vectors, and intrinsic AHC (132 S/cm) are properties of the ordered collinear state, they cannot be used to interpret the measured σ_xy ≈ 50 S/cm without independent evidence that the experimental magnetic structure matches the calculation.
  2. [Fig. 4 and accompanying text] The crossings near E_F are described as 'strong candidates for Weyl points' and later as 'Weyl-type band crossings,' but no chiral charge, Chern number, or surface-state calculation is presented. The text also states that SOC creates small gaps of 20–50 meV at these crossings, which is incompatible with genuine Weyl points unless a specific symmetry protection is identified. The claim that Mn2PdIn hosts a 'topologically nontrivial electronic structure' is therefore not established by the provided calculations.
  3. [Text near the T_F estimate] The freezing temperature is estimated as 62.3 K using a mean-field formula with a DFT-derived J between FiM and AFM states. Since the experimentally characterized state is a spin cluster glass, not a collinear FiM or AFM state, the relevance of this J is unclear, and the agreement with T_F = 65.5 K cannot be taken as validation of the collinear FiM model. The formula's inputs (J_i,j,avg over 'all possible configurations,' N=8) are not specified in sufficient detail to be reproducible.
  4. [Fig. 5(f) and TYJ scaling] The TYJ decomposition into skew-scattering and intrinsic/side-jump contributions uses the spontaneous magnetization M, but the sample is a spin glass with quenched and nonsaturating magnetization, making the appropriate M ill-defined. The resulting coefficients (a ≈ −0.062, b ≈ 63 S/cm) therefore do not robustly support the claim that the intrinsic Berry-curvature mechanism dominates the measured AHE.
minor comments (5)
  1. [Table II title] The title 'Fiting parameters' should read 'Fitting parameters.'
  2. [Equations and text (magnetization section)] The text contains a typo: 'Slatter-Puling rule' should be 'Slater-Pauling rule.'
  3. [Structural description (Fig. 1 inset and text)] The phrase 'octagonally coordinated' should be 'octahedrally coordinated.'
  4. [Relaxation equation (Fig. 2(c) text)] The relaxation formula M(t)=M0(1+a exp[−(t/τ)^β]) appears to have the wrong sign convention for a zero-field-cooled relaxation; a standard KWW form is M(t)=M0[1−exp(−(t/τ)^β)] over a suitable baseline, and the present form should be checked.
  5. [AHC calculation text] The phrase 'yield numerically equivalent results 82.82' contains a duplicated reference marker; it should be 'results [82]' or similar.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the DFT AHC and T_F estimate are independent of the measured transport data, and the self-citations are not load-bearing.

full rationale

The paper's derivation chain is not circular. The intrinsic AHC (about 132 S/cm) is computed from the DFT band structure via the Kubo formalism and is not fitted to the measured transverse resistivity; the experimental value (about 50 S/cm) is quoted separately, and the discrepancy is attributed to polycrystallinity, defects, and finite-temperature effects, which is an independent comparison rather than a fit. The quadratic rho_A vs. rho_xx scaling and the TYJ decomposition are fits to measured transport data using established scaling models (Tian-Ye-Jin), and the fitted coefficient b is not fed back into the DFT calculation. The freezing-temperature estimate T_F = 62.3 K uses a DFT-computed exchange J = -0.04295 eV rather than a value fitted to the experimental T_F = 65.5 K, so the agreement is a genuine, if approximate, prediction. The same-group citations (Refs. 18, 19, and 88) support background and comparison only; no load-bearing uniqueness theorem or ansatz is imported from them. Any remaining concerns, such as whether the collinear ferrimagnetic DFT state represents the measured spin-cluster-glass ground state, are issues of physical validity and transport interpretation, not circular reduction.

Assumptions & free parameters 3 free parameters · 5 assumptions · 0 invented entities

The paper's central mechanistic claims rest on several unproven model assumptions: the collinear FiM ground state, the identification of band crossings as Weyl points without computing topological invariants, and the applicability of mean-field and TYJ scaling analyses to a cluster spin glass. The fitted TYJ coefficient b is interpreted as the intrinsic AHC, but it is a fitting parameter rather than a parameter-free prediction.

free parameters (3)
  • b (TYJ intrinsic coefficient) = ≈63 S/cm
    Obtained from the linear fit of ρ_A/(Mρ_xx) versus ρ_xx in the TYJ scaling (Fig. 5f). This fitted coefficient is interpreted as the intrinsic anomalous Hall contribution and is a key piece of evidence for the intrinsic AHE claim.
  • a (TYJ skew-scattering coefficient) = ≈ -0.062
    Obtained from the same TYJ scaling fit. Used to separate skew-scattering from intrinsic/side-jump contributions.
  • Spontaneous magnetization M_s = 0.46 μB/f.u. at 2 K
    Obtained from a linear extrapolation of M(H) in the 5-7 T range at 2 K. Used to compare with the DFT moment (0.39 μB/f.u.) and as input to the TYJ scaling analysis.
assumptions (5)
  • domain assumption The collinear ferrimagnetic configuration found in DFT is the relevant magnetic ground state for interpreting transport.
    The DFT calculation assumes FiM order with Mn moments +3.75 and -3.48 μB, while the experimental sample is characterized as a spin cluster glass. This assumption is load-bearing for the computed AHC and Weyl crossings.
  • ad hoc to paper Band crossings near the Fermi level are Weyl-type (topologically protected) without an explicit calculation of chiral charge or surface states.
    The paper identifies 'Weyl-type' crossings from band structure plots alone. No topological invariant, Berry curvature distribution at the crossings, or Fermi-arc calculation is provided.
  • domain assumption The mean-field expression T_F = (1/(k_B N)) sqrt(Σ J²) is a valid approximation for the cluster spin-glass freezing temperature.
    Used to estimate T_F = 62.3 K from a single J[FiM-AFM] value obtained from DFT. The formula is taken from literature on metallic spin glasses and may not be accurate for a cluster glass with competing interactions.
  • domain assumption The TYJ scaling relation can separate skew scattering from intrinsic AHE in a spin-glass system.
    The TYJ scaling was developed for ferromagnets, and its validity in a spin-glass with small and temperature-dependent magnetization is not established. The authors apply it without justification beyond a linear fit range.
  • domain assumption PBE-GGA accurately describes the electronic structure and anomalous Hall conductivity of Mn2PdIn.
    The DFT uses PBE without Hubbard U or hybrid functionals. The authors state the f-electron self-interaction issue even though the system has no f-electrons, suggesting boilerplate text. The accuracy of PBE for this intermetallic is not benchmarked.

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Pith. "Pith review of Fermi surface nesting driven anomalous Hall effect in magnetically frustrated Mn_2PdIn." pith.science (2026). https://pith.science/paper/I3XZANEL

@misc{pith2026250502769,
  author       = {Pith},
  title        = {Pith review of: Fermi surface nesting driven anomalous Hall effect in magnetically frustrated Mn_2PdIn},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/I3XZANEL}},
  note         = {Machine review of arXiv:2505.02769}
}
read the original abstract

Noncollinear magnets with near-zero net magnetization and nontrivial bulk electronic topology hold significant promise for spintronic applications, though their scarcity necessitates purposeful design strategies. In this work, we report a topologically nontrivial electronic structure in metallic Mn_2PdIn, which crystallizes in the inverse Heusler structure and exhibits a spin-glassy ground state with quenched magnetization. The system features Weyl-type band crossings near the Fermi level and reveals a novel interplay among momentum-space nesting, orbital hybridization, and spin-orbit coupling. Comprehensive transport measurements uncover a pronounced anomalous Hall effect (AHE) in Mn_2PdIn. The observed quadratic relationship between the longitudinal and anomalous Hall resistivities highlights the intrinsic Berry curvature contribution to AHE. These findings establish inverse Heusler alloys as compelling platforms for realizing noncollinear magnets that host Weyl-type semimetallic or metallic phases-combining suppressed magnetization with robust electronic transport-thereby offering a promising route toward their seamless integration into next-generation spintronic devices.

Figures

Figures reproduced from arXiv: 2505.02769 by the authors.

Figure 1
Figure 1. FIG. 1. (a) Rietveld refinement of room temperature XRD [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. (a) [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. (a),(b) Temperature variation of the real ( [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: FIG. 4. (a, b) Electronic band structure and atom- and orbital-resolved density of states (DOS) for Mn [PITH_FULL_IMAGE:figures/full_fig_p005_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5. (a) [PITH_FULL_IMAGE:figures/full_fig_p007_5.png]

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