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arxiv: 2604.11583 · v4 · submitted 2026-04-13 · ❄️ cond-mat.mtrl-sci · cond-mat.str-el

Berry curvature and field-induced intrinsic anomalous Hall effect in an antiferromagnet FeTe

Satoshi Okamoto , Adriana Moreo , Naoto Nagaosa , Stuart S. P. Parkin This is my paper

Pith reviewed 2026-05-10 15:27 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci cond-mat.str-el
keywords anomalous Hall effectBerry curvatureFeTeantiferromagnetspin-fermion modelvan der Waals materialsmagnetic fieldtopological transport
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The pith

A magnetic field induces a large, temperature- and field-sensitive intrinsic anomalous Hall effect driven by Berry curvature in the antiferromagnet FeTe.

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

The paper aims to show that the van der Waals antiferromagnet FeTe can display a sizable intrinsic anomalous Hall effect when a magnetic field is applied, even though its magnetic moments cancel out at zero field. Calculations based on a spin-fermion model trace this to the Berry curvature of the electronic bands that become active under the field. The resulting Hall conductivity changes dramatically with temperature and field, sometimes switching sign. If correct, this positions FeTe as a model system for studying how topology and magnetism interact in layered materials and helps interpret recent Hall measurements on it.

Core claim

In a realistic spin-fermion model of tetragonal FeTe, an applied magnetic field induces a large anomalous Hall conductivity arising from the Berry curvature of the occupied bands. This conductivity depends strongly on temperature and magnetic field strength and can reverse its sign. The findings indicate that FeTe combines magnetism and topology to yield robust intrinsic Hall responses suitable for low-dimensional correlated systems and provide a theoretical basis for experimental observations of the anomalous and ordinary Hall effects in this compound.

What carries the argument

The Berry curvature of the electronic spectrum in the spin-fermion model of FeTe when the antiferromagnetic order is perturbed by an external magnetic field

If this is right

  • Hall conductivity exhibits sign reversal as temperature or field strength changes.
  • FeTe acts as a prototypical platform for quantum transport studies in correlated low-dimensional systems.
  • The results offer explanations for experimental reports of AHE and ordinary Hall effect in FeTe.
  • The effect highlights the role of field-induced modifications to compensated magnetic ordering in generating topological responses.

Where Pith is reading between the lines

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

  • Other layered antiferromagnets with similar electronic structures may show comparable field-tunable Hall effects.
  • Device applications could exploit the sensitivity to field and temperature for switchable Hall sensors.
  • Extending the model to include doping or strain might reveal additional ways to control the Hall response.

Load-bearing premise

The spin-fermion model and its treatment of the antiferromagnetic ordering under an applied field accurately reflect the true electronic structure and resulting Berry curvature in FeTe.

What would settle it

A direct experimental comparison of the measured Hall conductivity in FeTe versus temperature and applied magnetic field against the model's predictions for magnitude, sensitivity, and sign changes.

Figures

Figures reproduced from arXiv: 2604.11583 by Adriana Moreo, Naoto Nagaosa, Satoshi Okamoto, Stuart S. P. Parkin.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: e and Extended data [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p010_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p011_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6 [PITH_FULL_IMAGE:figures/full_fig_p012_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7 [PITH_FULL_IMAGE:figures/full_fig_p012_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8 [PITH_FULL_IMAGE:figures/full_fig_p013_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9 [PITH_FULL_IMAGE:figures/full_fig_p014_9.png] view at source ↗
read the original abstract

Berry curvature is ubiquitous in condensed matter physics and materials science. Its main consequence is the intrinsic anomalous Hall effect (AHE) in magnetic materials and plays a pivotal role in spintronic applications and quantum technologies. Here, we present a theoretical study of the intrinsic AHE in tetragonal FeTe, a semimetallic van der Waals antiferromagnet with compensated magnetic ordering at low temperatures. Using a realistic spin-fermion model, we demonstrate that FeTe exhibits a large Berry-curvature-driven AHE under an applied magnetic field. Our calculations reveal that the Hall conductivity of this compound is extremely sensitive to temperature and field strength and even exhibits sign reversal, highlighting FeTe as a prototypical platform where magnetism and topology combine to produce robust intrinsic Hall responses. This work establishes FeTe as a promising candidate for exploring quantum transport in low-dimensional correlated systems. We also discuss the implications for recent experimental results of the AHE and ordinary Hall effect reported for FeTe.

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 presents a theoretical investigation of the intrinsic anomalous Hall effect (AHE) in the van der Waals antiferromagnet FeTe. Using a realistic spin-fermion model, the authors claim to demonstrate a large Berry-curvature-driven AHE that appears under applied magnetic field, with the Hall conductivity being highly sensitive to temperature and field strength and exhibiting sign reversal. The work positions FeTe as a platform combining magnetism and topology for quantum transport studies and discusses implications for recent experiments on AHE and ordinary Hall effect in this compound.

Significance. If the spin-fermion model and its field-dependent magnetic configuration accurately reproduce the electronic structure of FeTe, the result would be significant for the field of topological antiferromagnets and spintronics. It would establish a concrete example of field-tunable intrinsic AHE in a compensated antiferromagnet, highlight the role of Berry curvature in low-dimensional correlated systems, and provide a theoretical basis for interpreting experimental Hall data in FeTe and related van der Waals materials.

major comments (2)
  1. [Abstract and model description] The abstract states that calculations were performed with a spin-fermion model but provides no details on the band-structure method, k-point sampling, convergence criteria, or how the magnetic field is incorporated into the Hamiltonian (including any assumptions about canting or reconfiguration of the antiferromagnetic order). This information is load-bearing for the central claim, as the Berry curvature and integrated Hall conductivity depend directly on these choices.
  2. [Spin-fermion model] The spin-fermion model parameters (hopping terms, exchange couplings, spin-fermion coupling strength) appear to be fitted rather than derived from first-principles calculations. No direct comparison is reported between the model's zero-field or field-dependent Fermi surface, density of states, or band dispersions and independent DFT or ARPES data for FeTe. Because the reported large AHE and sign reversal are sensitive to these details, the absence of such validation leaves open the possibility that the results are model artifacts.
minor comments (2)
  1. [Abstract] The abstract mentions both the anomalous Hall effect and the ordinary Hall effect in the context of recent experiments; the manuscript would benefit from a clearer separation of the intrinsic (Berry-curvature) contribution from the ordinary term when discussing field dependence.
  2. [Results and discussion] Notation for the Hall conductivity (e.g., whether it is the intrinsic part only or total) should be defined explicitly in the main text and figures to avoid ambiguity when comparing to experiment.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful review and constructive comments, which have helped us improve the clarity and robustness of the manuscript. We address each major comment point by point below and have revised the manuscript accordingly.

read point-by-point responses

  1. Referee: [Abstract and model description] The abstract states that calculations were performed with a spin-fermion model but provides no details on the band-structure method, k-point sampling, convergence criteria, or how the magnetic field is incorporated into the Hamiltonian (including any assumptions about canting or reconfiguration of the antiferromagnetic order). This information is load-bearing for the central claim, as the Berry curvature and integrated Hall conductivity depend directly on these choices.

    Authors: We agree that the abstract is concise and omits these technical details. In the revised manuscript we have added a sentence to the abstract briefly noting the use of a tight-binding spin-fermion model with field-induced canting of the compensated antiferromagnetic order. Full specifications—including the band-structure method (diagonalization of the spin-fermion Hamiltonian), k-point sampling (dense Monkhorst-Pack grids with convergence checks), convergence criteria, and the explicit form of the Zeeman term that produces canting without order reconfiguration—are now stated in Section II and the Supplementary Information. revision: yes

  2. Referee: [Spin-fermion model] The spin-fermion model parameters (hopping terms, exchange couplings, spin-fermion coupling strength) appear to be fitted rather than derived from first-principles calculations. No direct comparison is reported between the model's zero-field or field-dependent Fermi surface, density of states, or band dispersions and independent DFT or ARPES data for FeTe. Because the reported large AHE and sign reversal are sensitive to these details, the absence of such validation leaves open the possibility that the results are model artifacts.

    Authors: The hopping and exchange parameters were taken from established literature values for FeTe chosen to reproduce the known compensated antiferromagnetic order and semimetallic character. In the revised manuscript we now include a direct comparison of the model's zero-field band dispersions and density of states against published DFT calculations, confirming that the essential features governing Berry curvature are captured. Field-dependent ARPES data are unavailable, so we instead demonstrate robustness by varying the spin-fermion coupling within a physically motivated range and showing that the large AHE and sign reversal persist; these checks are added to the Supplementary Information. revision: partial

Circularity Check

0 steps flagged

No significant circularity; model calculation is self-contained

full rationale

The paper constructs a spin-fermion Hamiltonian for FeTe, applies a magnetic field to reconfigure the antiferromagnetic order, and computes the Berry curvature and resulting Hall conductivity as an output of that Hamiltonian. No quoted step reduces the final AHE result to a fitted parameter by construction, nor does any load-bearing premise collapse to a self-citation whose validity is presupposed by the present work. The model parameters are described as realistic and the calculation proceeds from the Hamiltonian to the integrated Berry curvature without the target Hall response being used to determine the inputs. This is a standard numerical demonstration rather than a tautological renaming or self-referential fit.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on the validity of the chosen spin-fermion model and the assumption that Berry curvature computed from it dominates the observed Hall response.

free parameters (1)
  • spin-fermion coupling strength
    Exchange parameters between local moments and itinerant electrons are typically fitted to reproduce magnetic ordering or band structure.
axioms (1)
  • domain assumption The antiferromagnetic order can be continuously canted by an external field without changing the underlying electronic band topology qualitatively.
    Invoked when applying the magnetic field to the compensated state.

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Reference graph

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