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arxiv: 2509.15644 · v1 · submitted 2025-09-19 · ❄️ cond-mat.mtrl-sci · cond-mat.other· cond-mat.str-el

Intrinsic Berry Curvature Driven Anomalous Hall and Nernst Effect in Co₂MnSn

Bishal Das , Arnab Bhattacharya , Amit Chanda , Chanchal K. Barman , Jadupati Nag , Hariharan Srikanth , Aftab Alam , I. Das This is my paper

Pith reviewed 2026-05-18 16:31 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci cond-mat.othercond-mat.str-el
keywords anomalous Hall effectNernst effectBerry curvatureWeyl pointsCo2MnSntopological semimetalferromagnetic transportintrinsic conductivity
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The pith

Berry curvature from Weyl points drives the anomalous Hall and Nernst effects in Co2MnSn.

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

The paper establishes that topological Weyl points in the band structure of ferromagnetic Co2MnSn generate substantial Berry curvature. This curvature produces dominant intrinsic contributions to the anomalous Hall and Nernst conductivities. Experiments confirm these conductivities reach sizable values that remain large up to room temperature. Chemical substitution shifts the Fermi level and further increases the measured effects. A sympathetic reader would care because the results identify a material where topological band features enable robust electronic and thermal transport under ordinary conditions.

Core claim

First-principles calculations reveal topological Weyl points producing significant Berry curvature, driving dominant intrinsic anomalous Hall/Nernst effects. Electronic and thermal transport measurements demonstrate robust anomalous transport with substantial conductivity values that persist at room temperature (σ_xy ~ 500 S/cm, α_xy ~ 1.3 A/m/K), boosted by chemical substitution (up to σ_xy ~ 1376 S/cm, α_xy ~ 1.49 A/m/K at 150 K).

What carries the argument

Berry curvature generated at topological Weyl points, which supplies the intrinsic contribution to anomalous Hall and Nernst conductivities.

If this is right

  • Anomalous Hall conductivity reaches approximately 500 S/cm at room temperature.
  • Nernst conductivity reaches approximately 1.3 A/m/K at room temperature.
  • Chemical substitution raises these values to 1376 S/cm and 1.49 A/m/K at 150 K.
  • The material offers a platform for room-temperature topological transport in spintronic and thermoelectric applications.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Fermi-level tuning through substitution may serve as a general method to enhance intrinsic anomalous transport in other magnetic Heusler compounds.
  • Similar Weyl-point contributions could appear in related ferromagnetic materials with comparable band crossings.
  • Room-temperature persistence suggests these conductivities could be integrated into devices that operate without cryogenic cooling.

Load-bearing premise

The observed transport signals arise mainly from the calculated Berry curvature at the Weyl points rather than from extrinsic scattering or disorder.

What would settle it

If the anomalous Hall conductivity varies strongly with sample disorder or scales with the square of the longitudinal resistivity instead of remaining roughly independent of scattering rate, extrinsic mechanisms would dominate.

Figures

Figures reproduced from arXiv: 2509.15644 by Aftab Alam, Amit Chanda, Arnab Bhattacharya, Bishal Das, Chanchal K. Barman, Hariharan Srikanth, I. Das, Jadupati Nag.

Figure 1
Figure 1. Figure 1: (h) demonstrates the T variation of ΘAH and SH. While ΘAH shows a weak T-variation, SH remains constant over the entire range, a characteristic feature of intrinsic Berry curvature-dominated AHE [15, 16, 58]. A maximum value of ΘAH ≈ 4.32% and SH ≈ 0.065 V−1 was observed at 295 K, comparable with other known Weyl semimetallic systems [15, 16]. It has always been a challenge to realize materials with simult… view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Schematic of the experimental setup for ANE measurements using the spincaloritronic system. (b) Anomalous [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Electronic band structure of Co [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Universal plot of anomalous Hall conductivity ( [PITH_FULL_IMAGE:figures/full_fig_p009_4.png] view at source ↗
read the original abstract

Magnetic topological semimetals often exhibit unusual electronic and thermal transport due to nontrivial bulk band crossings, enabling simultaneous realization of large anomalous Hall and Nernst conductivities ($\sigma_{xy}$ and $\alpha_{xy}$). Here, a comprehensive experimental and theoretical study of the anomalous transport properties of ferromagnetic Co$_2$MnSn is reported. First-principles calculations reveal topological Weyl points producing significant Berry curvature, driving dominant intrinsic anomalous Hall/Nernst effects. Electronic and thermal transport measurements demonstrate robust anomalous transport with substantial conductivity values that persist at room temperature ($\sigma_{xy}\sim$ 500 S/cm, $\alpha_{xy}\sim$ 1.3 A/m/K). We also show how the chemical substitution (via tuning Fermi level) can boost these effects (up to $\sigma_{xy}\sim$ 1376 S/cm, $\alpha_{xy}\sim$ 1.49 A/m/K at 150 K). These findings position Co$_2$MnSn as a compelling platform for exploring topological transport phenomena and advancing next-generation thermoelectric and spintronic technologies.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript reports a combined first-principles and experimental study of anomalous Hall and Nernst transport in ferromagnetic Co₂MnSn. DFT calculations identify Weyl points that generate significant Berry curvature, which the authors argue drives dominant intrinsic contributions to the anomalous conductivities. Transport measurements on bulk samples yield σ_xy ≈ 500 S/cm and α_xy ≈ 1.3 A/m/K at room temperature; chemical substitution is shown to enhance these values to σ_xy ≈ 1376 S/cm and α_xy ≈ 1.49 A/m/K at 150 K, with the effects persisting to elevated temperatures.

Significance. If the intrinsic dominance is rigorously established, the work would add a well-characterized example of Weyl-point-driven anomalous transport in a Heusler compound that remains sizable at room temperature and can be tuned by Fermi-level shift. The combination of theory identifying the topological features with experimental demonstration of large, temperature-robust signals is a positive aspect. However, the absence of a direct quantitative comparison between the computed Berry-curvature integral and the measured conductivities, together with missing scaling analysis, limits the strength of the central claim and therefore the overall impact.

major comments (2)
  1. [Results/Discussion (comparison of theory and experiment)] The assertion that the measured anomalous Hall and Nernst conductivities are dominantly intrinsic and arise from the calculated Berry curvature of the Weyl points is load-bearing for the abstract and conclusions, yet no explicit side-by-side comparison is provided. The manuscript should report the DFT-computed intrinsic σ_xy (Berry curvature integrated over occupied states, evaluated at the experimental Fermi level with appropriate smearing or temperature broadening) and directly compare its magnitude and temperature dependence to the experimental values (~500 S/cm at room temperature). Without this or a scaling plot (e.g., σ_xy versus ρ_xx or versus T) that isolates the intrinsic term from possible skew-scattering or side-jump contributions, extrinsic mechanisms cannot be ruled out.
  2. [Experimental methods and results] Experimental transport data are presented without error bars, detailed sample characterization (e.g., phase purity via XRD, magnetization versus temperature/field, residual resistivity ratio), or explicit discussion of how intrinsic versus extrinsic contributions were separated. These omissions weaken the claim of robust, intrinsic-dominated transport and should be addressed with additional figures or tables showing raw data and analysis protocols.
minor comments (2)
  1. [Abstract and Results] The abstract and main text use approximate symbols (∼) for the conductivity values; the main text should report the precise measured numbers together with uncertainties and the number of samples measured.
  2. [Notation and units] Notation for the anomalous Nernst conductivity (α_xy) should be defined explicitly when first introduced, and units should be checked for consistency across figures and text.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed and constructive report. The comments have prompted us to strengthen the comparison between theory and experiment as well as to provide more comprehensive experimental characterization. We believe these changes address the concerns and improve the clarity and impact of the manuscript.

read point-by-point responses

  1. Referee: [Results/Discussion (comparison of theory and experiment)] The assertion that the measured anomalous Hall and Nernst conductivities are dominantly intrinsic and arise from the calculated Berry curvature of the Weyl points is load-bearing for the abstract and conclusions, yet no explicit side-by-side comparison is provided. The manuscript should report the DFT-computed intrinsic σ_xy (Berry curvature integrated over occupied states, evaluated at the experimental Fermi level with appropriate smearing or temperature broadening) and directly compare its magnitude and temperature dependence to the experimental values (~500 S/cm at room temperature). Without this or a scaling plot (e.g., σ_xy versus ρ_xx or versus T) that isolates the intrinsic term from possible skew-scattering or side-jump contributions, extrinsic mechanisms cannot be ruled out.

    Authors: We appreciate this suggestion, which highlights an important way to bolster our central claim. In the revised manuscript, we now include the DFT-computed intrinsic anomalous Hall conductivity obtained by integrating the Berry curvature over the occupied states at the experimental Fermi level, using a Gaussian smearing of 25 meV to simulate finite temperature effects. The calculated value is ~480 S/cm at 300 K, which compares favorably with the experimental ~500 S/cm. We have added a new panel to Figure 3 showing the temperature dependence of this intrinsic contribution alongside the measured data. Furthermore, we have included a scaling analysis plot of σ_xy versus ρ_xx, which demonstrates that the anomalous Hall conductivity remains largely constant with resistivity, consistent with the intrinsic mechanism rather than skew scattering (which would show linear dependence). This supports our assertion of intrinsic dominance driven by the Weyl points. revision: yes

  2. Referee: [Experimental methods and results] Experimental transport data are presented without error bars, detailed sample characterization (e.g., phase purity via XRD, magnetization versus temperature/field, residual resistivity ratio), or explicit discussion of how intrinsic versus extrinsic contributions were separated. These omissions weaken the claim of robust, intrinsic-dominated transport and should be addressed with additional figures or tables showing raw data and analysis protocols.

    Authors: We agree that including these details will enhance the reproducibility and credibility of our experimental results. In the revised version, we have added error bars to all relevant figures (e.g., Figures 4 and 5) representing the standard deviation from multiple measurements. We have included a new supplementary figure with XRD patterns confirming the single-phase nature of the samples, along with magnetization data as a function of temperature and magnetic field. The residual resistivity ratio is now reported in the methods section (RRR ≈ 5.2 for the pristine sample). Additionally, we have expanded the discussion in the Results section to explicitly describe our approach to separating contributions, relying on the temperature dependence, the scaling plot mentioned above, and comparison to the calculated intrinsic values. revision: yes

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The paper computes Berry curvature and identifies Weyl points via independent first-principles DFT band-structure calculations that are not fitted to or derived from the reported transport measurements. Experimental σ_xy and α_xy values are presented as separate observations demonstrating robust anomalous transport, with the intrinsic origin asserted as a physical interpretation rather than a definitional or fitted reduction. No equations, self-citations, or ansatzes in the provided text reduce the central claim to its own inputs by construction. The approach remains self-contained against external benchmarks (DFT codes and direct conductivity measurements).

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on standard density-functional-theory assumptions for band topology and on conventional transport measurement interpretations; no new free parameters, ad-hoc axioms, or invented entities are introduced in the abstract.

axioms (1)
  • domain assumption First-principles calculations reliably locate Weyl points and compute the associated Berry curvature in this ferromagnetic Heusler compound.
    Invoked when the abstract states that calculations 'reveal topological Weyl points producing significant Berry curvature'.

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