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arxiv: 2604.21285 · v1 · submitted 2026-04-23 · ❄️ cond-mat.mtrl-sci

Recognition: unknown

Room-temperature third-order nonlinear anomalous Hall effect in ferromagnetic metal Fe3GaTe2

Zheng Dai , Shuai Zhang , Jiajun Li , Xiubing Li , Congcong Li , Fengyi Guo , Heng Zhang , Ziqi Wang
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Minhao Zhang Xuefeng Wang Huaiqiang Wang Fengqi Song
Authors on Pith no claims yet

Pith reviewed 2026-05-09 21:45 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords nonlinear anomalous Hall effectBerry curvature quadrupoleferromagnetic metalFe3GaTe2room temperaturethird-order transportmagnetic hysteresis
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The pith

The ferromagnetic metal Fe3GaTe2 exhibits a third-order nonlinear anomalous Hall effect that persists to room temperature.

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

The paper reports the observation of a third-order nonlinear anomalous Hall effect in Fe3GaTe2. This nonlinear voltage response tracks the magnetic hysteresis of the ordinary anomalous Hall effect and remains measurable up to the Curie temperature near 350 K. Scaling relations between the nonlinear conductivity and other transport coefficients point to the Berry curvature quadrupole as the underlying mechanism. A reader would care because the result supplies an electrical signature of magnetic order that works at ambient temperature and could be used to probe or exploit quantum geometry in ferromagnets.

Core claim

We observe a third-order nonlinear anomalous Hall effect in the ferromagnetic metal Fe3GaTe2. The effect displays hysteretic dependence on magnetic field with the same coercive field as the linear anomalous Hall effect and remains detectable up to the Curie temperature of approximately 350 K. Scaling analysis of the nonlinear conductivity indicates that the response arises from the Berry curvature quadrupole.

What carries the argument

Berry curvature quadrupole, the quadrupole moment of the Berry curvature distribution in momentum space that generates a third-order nonlinear Hall current.

If this is right

  • Nonlinear transport measurements can be used to characterize magnetic materials at room temperature.
  • The third-order response survives to the Curie temperature, indicating that the quadrupole mechanism is tied to the ferromagnetic phase.
  • The result suggests design principles for room-temperature nonlinear electronic devices based on Berry curvature multipoles.
  • Scaling analysis cleanly separates the quadrupole term from lower-order contributions in the data.

Where Pith is reading between the lines

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

  • The same measurement protocol could be applied to other layered ferromagnets to determine whether their Berry curvature quadrupoles produce comparable room-temperature signals.
  • If the quadrupole can be tuned by gating or strain, the nonlinear Hall response might be modulated electrically without changing the magnetic order.
  • The persistence of the effect near the Curie point raises the question of how the quadrupole evolves across the magnetic phase transition in related compounds.

Load-bearing premise

The measured nonlinear voltages are produced by the intrinsic Berry curvature quadrupole rather than by heating, contact artifacts, or other extrinsic mechanisms.

What would settle it

An experiment in which the nonlinear signal vanishes or reverses when the current direction or frequency is changed in a manner that preserves heating but removes the quadrupole contribution, or a direct match between the measured scaling coefficient and a parameter-free calculation of the quadrupole.

read the original abstract

Berry curvature, as the imaginary component of quantum geometry, plays a crucial role in condensed matter physics. The spatial distribution of Berry curvature can be characterized by its dipole and multipole moments, which can induce the nonlinear anomalous Hall effect (NLAHE). To date, the NLAHE has been demonstrated in various materials, yet reports on room-temperature NLAHE are still limited. In this work, we report the observation of the third-order NLAHE in ferromagnetic metal Fe3GaTe2. The third-order NLAHE shows hysteretic behavior with the variation of magnetic field, where the coercive field is the same as that of the anomalous Hall effect, and the third-order NLAHE remains observable up to the Curie temperature (~350 K). The scaling analysis suggests that the third-order NLAHE may be attributed to the Berry curvature quadrupole. Our work not only provides an approach to study magnetic materials through nonlinear electric transports, but also opens up possibilities for the future development of room-temperature third-order nonlinear electronic devices.

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

3 major / 1 minor

Summary. The paper reports the experimental observation of third-order nonlinear anomalous Hall effect (NLAHE) in ferromagnetic metal Fe3GaTe2. The signal is hysteretic in magnetic field with the same coercive field as the linear anomalous Hall effect, persists up to the Curie temperature of ~350 K, and scaling analysis is invoked to attribute it to the Berry curvature quadrupole.

Significance. If the central attribution holds after rigorous exclusion of extrinsic contributions, the result would be significant for demonstrating room-temperature third-order nonlinear transport in a metallic ferromagnet and for using nonlinear responses as a probe of Berry curvature multipoles. The high-temperature persistence is a clear strength of the claimed observation.

major comments (3)
  1. [Scaling analysis (results/discussion)] The scaling analysis used to attribute the third-order NLAHE to Berry curvature quadrupole (mentioned in the abstract and presumably detailed in the results/discussion) provides no explicit derivation, no shown isolation of the quadrupole term, and no controls (e.g., frequency dependence or power-law checks) to bound Joule-heating or contact-induced nonlinearities. In a ferromagnetic metal, temperature-dependent resistivity from current heating readily produces even- and odd-order nonlinear voltages whose hysteresis can track the magnetization via magnetoresistance; without these checks the identification remains insecure.
  2. [Experimental results and figures] No raw data, error bars, or statistical details are supplied for the nonlinear voltage measurements or the extracted third-order coefficient. This absence prevents assessment of signal-to-noise, reproducibility, or the robustness of the hysteretic behavior and scaling relation.
  3. [Results on magnetic-field dependence] The observation that the third-order NLAHE coercive field matches that of the linear AHE is presented as supporting evidence, but this is necessary yet insufficient; extrinsic nonlinearities can inherit identical field dependence through the magnetization-dependent resistivity.
minor comments (1)
  1. [Abstract] The abstract phrasing 'the scaling analysis suggests... may be attributed' is appropriately cautious, but the main text should state the precise scaling relation employed and any assumptions.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major comment below and indicate the revisions we will make to strengthen the presentation and attribution of the third-order nonlinear anomalous Hall effect.

read point-by-point responses

  1. Referee: The scaling analysis used to attribute the third-order NLAHE to Berry curvature quadrupole (mentioned in the abstract and presumably detailed in the results/discussion) provides no explicit derivation, no shown isolation of the quadrupole term, and no controls (e.g., frequency dependence or power-law checks) to bound Joule-heating or contact-induced nonlinearities. In a ferromagnetic metal, temperature-dependent resistivity from current heating readily produces even- and odd-order nonlinear voltages whose hysteresis can track the magnetization via magnetoresistance; without these checks the identification remains insecure.

    Authors: We agree that the scaling analysis in the current version is presented too concisely. In the revised manuscript we will add an explicit derivation of the scaling relation linking the third-order nonlinear Hall voltage to the Berry curvature quadrupole. We will also include frequency-dependent measurements and current-amplitude power-law checks to bound possible Joule-heating contributions and to demonstrate that the observed nonlinearity is not dominated by extrinsic resistive effects. revision: yes

  2. Referee: No raw data, error bars, or statistical details are supplied for the nonlinear voltage measurements or the extracted third-order coefficient. This absence prevents assessment of signal-to-noise, reproducibility, or the robustness of the hysteretic behavior and scaling relation.

    Authors: We acknowledge this omission. The revised manuscript and supplementary information will include representative raw voltage traces, error bars on the extracted third-order coefficients, and statistical details on device-to-device reproducibility and signal-to-noise ratios. revision: yes

  3. Referee: The observation that the third-order NLAHE coercive field matches that of the linear AHE is presented as supporting evidence, but this is necessary yet insufficient; extrinsic nonlinearities can inherit identical field dependence through the magnetization-dependent resistivity.

    Authors: We agree that the matching coercive field alone is not sufficient to establish the intrinsic origin. In the revision we will rephrase the discussion to present the field dependence as merely consistent with an anomalous Hall response, while making clear that the primary evidence for the Berry curvature quadrupole attribution rests on the scaling analysis. We will also add a brief discussion of why extrinsic mechanisms are unlikely given the overall temperature and scaling behavior. revision: partial

Circularity Check

0 steps flagged

No circularity: experimental observation and data-driven scaling analysis

full rationale

The paper reports direct experimental measurements of third-order NLAHE in Fe3GaTe2, including hysteretic field dependence matching the linear AHE coercive field and persistence up to ~350 K. Attribution to Berry curvature quadrupole rests on post-measurement scaling analysis of the observed voltages, which constitutes an empirical interpretation rather than a closed theoretical derivation. No steps reduce by the paper's own equations to fitted parameters renamed as predictions, self-definitional loops, or load-bearing self-citations whose validity depends on the present work. The chain is self-contained as an observational report with supporting analysis.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Experimental transport study; no free parameters, axioms, or invented entities appear in the abstract.

pith-pipeline@v0.9.0 · 5519 in / 1088 out tokens · 33427 ms · 2026-05-09T21:45:00.828687+00:00 · methodology

discussion (0)

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Reference graph

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