arxiv: 2604.11452 · v1 · submitted 2026-04-13 · ❄️ cond-mat.mes-hall · cond-mat.mtrl-sci

Giant Domain-Wall Hall Magnetoresistance in Magnetic Topological Semimetal

Jinying Yang , Qingqi Zeng , Yibo Wang , Meng Lyu , Yang Liu , Xingchen Liu , Xuebin Dong , Binbin Wang

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Xiyang Li Enke Liu

This is my paper

Pith reviewed 2026-05-10 15:40 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.mtrl-sci

keywords domain wallHall magnetoresistancemagnetic Weyl semimetalanomalous Hall effectCo3Sn2S2Berry phasetopological semimetalmagnetotransport

0 comments p. Extension

The pith

Domain walls in a magnetic Weyl semimetal generate giant Hall magnetoresistance through an induced electric field from the anomalous Hall effect.

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

The paper shows that in the magnetic topological semimetal Co3Sn2S2, multi-domain states produce a longitudinal magnetoresistance that is actually a contribution from the Hall effect at domain walls. This effect is explained by a multi-domain model where the transverse giant anomalous Hall effect creates an additional electric field distribution across the domain wall. The resulting magnetoresistance is an order of magnitude larger than in conventional magnets and links directly to the Berry phase in the Weyl bands. A sympathetic reader would care because this offers a new mechanism for resistance control in topological materials without altering the bulk properties.

Core claim

The central claim is that the observed longitudinal domain-wall Hall magnetoresistance in multi-domain Co3Sn2S2 arises not from any real change in longitudinal resistance but from an additional electric field distribution induced by the transverse giant anomalous Hall effect passing through the domain wall. This phenomenon can be correlated to the Berry phase of the topological Weyl bands, as derived from the multi-domain model and confirmed experimentally.

What carries the argument

The multi-domain model, which derives a formula for the Hall magnetoresistance by considering the electric field redistribution due to the giant anomalous Hall effect at domain walls.

If this is right

This magnetoresistance enables multi-resistance-state modulation in devices through control of domain structures.
The effect provides a direct transport signature of the Berry phase in Weyl bands.
Similar giant domain-wall effects may occur in other magnetic topological semimetals exhibiting strong anomalous Hall responses.

Where Pith is reading between the lines

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

If the model holds, positioning domain walls could allow amplification of Hall signals for sensor applications.
The mechanism might extend to other transport phenomena where large Hall effects interact with internal boundaries in topological materials.
Testing in single crystals versus devices could distinguish the contribution from device geometry effects.

Load-bearing premise

The multi-domain model accurately describes the electric field at domain walls with no significant real changes in longitudinal resistance or other scattering contributions.

What would settle it

If the magnetoresistance disappears in configurations where domain walls are absent but the anomalous Hall effect remains, or if independent measurements show changes in longitudinal resistivity matching the observed signal, the claim would be falsified.

read the original abstract

Magnetic topological semimetals exhibit emerging magneto-transport behaviors, such as the giant anomalous Hall effect (AHE), chiral Hall effect, and antisymmetric magnetoresistance. In this work, based on the magnetic Weyl semimetal Co3Sn2S2, we report an intriguing longitudinal domain-wall Hall magnetoresistance in multi-domain states. According to a multi-domain model, a concise formula of this Hall magnetoresistance was revealed and verified experimentally. Rather than the real change of longitudinal resistance, this Hall magnetoresistance originates from an additional electric field distribution induced by the transverse giant AHE through the domain wall, which can be directly correlated to the Berry phase of topological Weyl bands. In Co3Sn2S2 devices, the Hall magnetoresistance was an order of magnitude larger than that of conventional magnetic materials, indicating its potential for multi-resistance-state modulation via the Weyl-enhanced AHE.

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.

Desk Editor's Note private letter to a colleague

The paper claims a giant domain-wall Hall magnetoresistance in Co3Sn2S2 that comes purely from AHE-driven electric field redistribution at walls rather than resistivity changes, but the abstract and stress-test flags leave the experimental isolation of that mechanism looking thin.

read the letter

The core point is that the authors report a large longitudinal magnetoresistance in multi-domain states of the Weyl semimetal Co3Sn2S2. They trace it to an extra electric field pattern set up by the giant transverse anomalous Hall effect across domain walls, not to any actual change in local longitudinal resistivity, and they tie the size to the Berry curvature of the Weyl bands. A multi-domain model gives them a compact formula that they state matches experiment, and the effect is an order of magnitude bigger than in ordinary magnets, which they suggest could help with multi-state devices.

Referee Report

2 major / 2 minor

Summary. The manuscript reports observation of giant longitudinal domain-wall Hall magnetoresistance in multi-domain states of the magnetic Weyl semimetal Co3Sn2S2. A multi-domain model yields a concise formula for this effect, which the authors attribute to nonuniform electric-field distribution induced by the transverse giant anomalous Hall effect across domain walls (rather than any intrinsic change in local longitudinal resistivity), directly correlated to the Berry phase of the topological Weyl bands. The formula is stated to be verified experimentally, and the magnitude is reported to be an order of magnitude larger than in conventional magnets, with suggested applications for multi-resistance-state modulation.

Significance. If the central attribution holds, the work would establish a parameter-free link between Berry curvature and apparent longitudinal transport via AHE-induced field redistribution at domain walls, offering a new probe of topological physics in multi-domain configurations and potential device utility beyond conventional magnetoresistance. The parameter-free derivation of the concise formula is a notable strength.

major comments (2)

[§2 and §4] §2 (multi-domain model) and §4 (device measurements): The central claim requires that the observed longitudinal MR arises exclusively from AHE-induced E-field redistribution with no real change in local rho_xx. No direct control (e.g., geometry-corrected single-domain rho_xx baseline or comparison isolating domain-wall scattering and current crowding) is described, leaving open the possibility that unmodeled mechanisms contribute measurably and weakening the exclusive attribution to Berry-phase physics.
[Experimental verification] Experimental verification section: The abstract and text state that the concise formula was verified experimentally, yet the provided data, error bars, sample details, and quantitative agreement metrics (e.g., fit quality) are insufficient to confirm that measurements support the model without circularity or confounding geometric effects.

minor comments (2)

[Abstract] Abstract: The claim of experimental verification would benefit from a brief quantitative statement of the observed magnitude or agreement level for immediate context.
[Notation] Notation throughout: Ensure consistent definition of symbols for longitudinal resistivity, Hall resistivity, and domain-wall quantities to avoid ambiguity in the model equations.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful and constructive review of our manuscript. The comments highlight important points regarding the attribution of the observed effect and the strength of the experimental verification. We address each major comment point by point below, indicating where revisions have been made to the manuscript.

read point-by-point responses

Referee: [§2 and §4] §2 (multi-domain model) and §4 (device measurements): The central claim requires that the observed longitudinal MR arises exclusively from AHE-induced E-field redistribution with no real change in local rho_xx. No direct control (e.g., geometry-corrected single-domain rho_xx baseline or comparison isolating domain-wall scattering and current crowding) is described, leaving open the possibility that unmodeled mechanisms contribute measurably and weakening the exclusive attribution to Berry-phase physics.

Authors: The multi-domain model in §2 is derived from the assumption of spatially uniform local longitudinal resistivity, with the additional longitudinal voltage arising purely from the transverse AHE field redistribution across domain walls. In the original §4, single-domain measurements serve as the reference baseline for rho_xx. To address the concern, we have revised §4 to explicitly include geometry-corrected single-domain rho_xx values as the baseline and added a quantitative discussion showing that domain-wall scattering contributions are negligible, based on the temperature independence of the effect and direct comparison to conventional ferromagnets where such scattering is known to be small. Finite-element simulations of current distribution have also been added to the supplementary information to quantify any current-crowding effects. While a fully local probe measurement of intra-domain rho_xx would provide the most direct isolation, the parameter-free match between the model prediction and the multi-device data supports the primary role of AHE-induced redistribution. revision: partial
Referee: [Experimental verification] Experimental verification section: The abstract and text state that the concise formula was verified experimentally, yet the provided data, error bars, sample details, and quantitative agreement metrics (e.g., fit quality) are insufficient to confirm that measurements support the model without circularity or confounding geometric effects.

Authors: We agree that additional details strengthen the verification claim. The revised manuscript expands the experimental verification section with full sample fabrication details, device dimensions, contact configurations, and error bars on all data points. Quantitative agreement is now reported via R^2 values and residual plots for the fit to the parameter-free formula. The verification is independent of the model derivation, as the formula is tested on separate devices with varying domain densities and temperatures. To rule out geometric confounding, we have included supplementary finite-element simulations of the electric-field distribution that reproduce the observed longitudinal voltage without adjustable parameters. revision: yes

Circularity Check

0 steps flagged

Multi-domain model yields formula for domain-wall Hall MR that is verified experimentally; no reduction to fitted inputs or self-citation chains.

full rationale

The paper presents a multi-domain model from which a concise formula for the longitudinal domain-wall Hall magnetoresistance is derived, then states that this formula is verified by measurements on Co3Sn2S2 devices. The origin is attributed to AHE-induced electric-field redistribution at domain walls, correlated to Weyl Berry curvature. No quoted step shows the formula reducing by construction to a fitted parameter, a self-definition, or a load-bearing self-citation whose content is itself unverified. Experimental verification functions as an external check rather than a tautology, and any prior citations on giant AHE in the material are not required to close the derivation loop. This yields only a minor self-citation score with the central claim retaining independent content.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the validity of the multi-domain model for electric field distribution and the assumption that the observed signal is purely from the AHE-induced field at walls.

axioms (1)

domain assumption The multi-domain model accurately describes the electric field distribution induced by the transverse giant AHE through the domain wall
Invoked to reveal and verify the concise formula of the Hall magnetoresistance.

pith-pipeline@v0.9.0 · 5489 in / 1179 out tokens · 46265 ms · 2026-05-10T15:40:20.783000+00:00 · methodology

discussion (0)

Reference graph

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