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arxiv: 2606.23140 · v1 · pith:3KVARYKInew · submitted 2026-06-22 · ❄️ cond-mat.mtrl-sci

Unconventional topological Hall response and anisotropic magnetotransport properties of a helical magnet EuAuAs

Anyesh Saraswati , Koyendrila Debnath , Shubhankar Roy , Barun Ghosh , Nitesh Kumar , Prabhat Mandal This is my paper

Pith reviewed 2026-06-26 07:36 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords topological Hall effectEuAuAshelical antiferromagnetscalar spin chiralitymagnetoresistanceFermi surface anisotropyweak antilocalization
0
0 comments X

The pith

EuAuAs shows a giant topological Hall effect from scalar spin chirality in its helical antiferromagnetic order.

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

The paper examines charge transport in the antiferromagnet EuAuAs with a Néel temperature near 6 K. Experiments reveal that the helical arrangement of Eu local moments produces a large topological Hall resistivity attributed to scalar spin chirality. Ab-initio calculations confirm both the helical structure and an anisotropic Fermi surface that accounts for the measured directional dependence in resistivity and magnetoresistance. Low-field positive magnetoresistance in both longitudinal and transverse geometries is explained by weak antilocalization, while high fields yield large negative values. These results demonstrate how noncoplanar spin textures generate unconventional Hall signals in a centrosymmetric crystal.

Core claim

Below the Néel temperature the helical magnetic structure of Eu moments generates a giant topological Hall effect through scalar spin chirality. First-principles calculations reproduce the helical order and the anisotropic Fermi surface responsible for the observed anisotropy in longitudinal resistivity and magnetoresistance. The low-field positive longitudinal and transverse magnetoresistance arise from weak antilocalization, while high-field negative magnetoresistance reflects spin-dependent scattering.

What carries the argument

Scalar spin chirality generated by the noncoplanar helical spin texture, which imprints an emergent Berry phase on conduction electrons and produces the topological Hall resistivity.

If this is right

  • The size of the topological Hall resistivity should track the magnitude of scalar spin chirality computed from the helical structure.
  • Direction-dependent resistivity and magnetoresistance should match the calculated Fermi surface anisotropy in both sign and magnitude.
  • The low-field positive magnetoresistance should continue to be described by weak antilocalization models in both geometries.
  • EuAuAs provides a centrosymmetric platform in which noncoplanar spins alone drive topological transport.

Where Pith is reading between the lines

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

  • Other helical magnets with similar calculated spin textures could be checked for comparable Hall responses.
  • Pressure or doping experiments that alter the helical pitch would test whether the Hall magnitude scales with chirality.
  • The temperature window of the effect could be used to map the stability range of the chiral spin texture.
  • The anisotropy offers a route to direction-selective transport studies in related centrosymmetric compounds.

Load-bearing premise

The helical magnetic structure obtained from ab-initio calculations accurately represents the real-space spin texture that produces the observed scalar spin chirality contribution to the Hall resistivity.

What would settle it

If the giant topological Hall resistivity remains unchanged when the helical order is suppressed, for example by warming above the Néel temperature or by applying a field that polarizes the moments, the chirality mechanism would be ruled out.

Figures

Figures reproduced from arXiv: 2606.23140 by Anyesh Saraswati, Barun Ghosh, Koyendrila Debnath, Nitesh Kumar, Prabhat Mandal, Shubhankar Roy.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Powder XRD of EuAuAs taken on finely crushed [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Temperature dependence of magnetic susceptibility [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) The temperature dependence of the longitudinal resistivity ( [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Field dependence of transverse magnetoconductivity at different temperatures in the low-field region. The solid [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. (a) Magnetic field dependence of Hall resistivity [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. (a) Representation of the different components of the Hall resistivity represented at 2 K for [PITH_FULL_IMAGE:figures/full_fig_p007_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Crystal structures of EuAuAs with (a) AFM-A, (b) [PITH_FULL_IMAGE:figures/full_fig_p008_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. (a) Hexagonal Brillouin zone (BZ) of EuAuAs with [PITH_FULL_IMAGE:figures/full_fig_p009_8.png] view at source ↗
read the original abstract

Topological magnets with nontrivial spin texture have attracted considerable interest because they display a rich spectrum of emergent quantum phenomena. Here, we present a combined experimental and theoretical investigation of the magnetic and magnetotransport properties of EuAuAs, an antiferromagnet with N\'eel temperature ($T_\mathrm{N}$) $\sim$ 6 K. The temperature and magnetic field dependence of electrical resistivity and magnetization demonstrate that the charge transport in EuAuAs is strongly influenced by the spin configuration of local Eu moments. Below $T_\mathrm{N}$, both longitudinal magnetoresistance (LMR) and transverse magnetoresistance (TMR) are positive at low fields but large and negative at high fields. With increasing temperature, TMR becomes positive above 60 K, whereas LMR remains negative up to 100 K. The low-field positive LMR and TMR originate from weak antilocalization (WAL). The WAL contribution in TMR is well captured by the Hikami-Larkin-Nagaoka model, whereas the LMR data are described by a generalized Altshuler-Aronov framework. Moreover, we observe a giant topological Hall effect arising from the scalar spin chirality, which is further supported by the helical magnetic structure obtained from the ab-initio calculations. The observed anisotropy in longitudinal resistivity and magnetoresistance underscores the very nature of the Fermi surface of the EuAuAs, as confirmed by first-principles calculations. These results establish EuAuAs as a unique platform for exploring the interplay between electronic structure and noncoplanar spin texture in a centrosymmetric helical magnet.

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 magnetotransport and magnetization data on the antiferromagnet EuAuAs (TN ≈ 6 K), attributing a giant topological Hall resistivity below TN to scalar spin chirality generated by a helical spin texture. This attribution is supported by ab-initio calculations that predict a helical ground state and anisotropic Fermi surface; longitudinal and transverse MR are analyzed with WAL (Hikami-Larkin-Nagaoka) and generalized Altshuler-Aronov models, with temperature-dependent sign changes in MR linked to the electronic structure.

Significance. If the scalar-spin-chirality assignment is robust, the work supplies a centrosymmetric helical-magnet platform in which noncoplanar real-space texture produces a measurable topological Hall signal whose magnitude and anisotropy can be compared with first-principles Fermi-surface calculations. The explicit use of ab-initio results to interpret both the spin texture and the resistivity anisotropy is a positive feature.

major comments (2)
  1. [Hall resistivity analysis and ab-initio magnetic-structure section] The central claim that the observed Hall resistivity is topological and arises from scalar spin chirality (abstract and the section presenting the Hall data) rests on the ab-initio prediction of a helical structure with non-zero chirality; no neutron-diffraction or other direct experimental determination of the propagation vector or spin texture below TN is reported, leaving open the possibility that field-induced canting or incomplete ordinary-Hall subtraction accounts for the residual signal.
  2. [Ab-initio calculations] The ab-initio section does not report the Hubbard-U dependence or spin-orbit treatment for the Eu 4f states; because small changes in these parameters can alter the calculated propagation vector or stabilize a coplanar state with vanishing net chirality, the robustness of the helical-structure input to the THE interpretation is not quantified.
minor comments (2)
  1. [Abstract and MR modeling paragraphs] The abstract states that TMR is 'well captured' by the HLN model and LMR by a generalized AA framework, but does not quote the fitted dephasing lengths or the quality of the fits (R² or residuals) that would allow the reader to judge the WAL contribution.
  2. [Figure captions and methods] Figure captions and text should explicitly state the criteria used to separate ordinary, anomalous, and topological Hall components (e.g., high-field linear extrapolation range) and report the uncertainty on the extracted THE amplitude.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful and constructive review of our manuscript. Below we address each major comment point by point, indicating where revisions have been made or additional discussion added.

read point-by-point responses

  1. Referee: [Hall resistivity analysis and ab-initio magnetic-structure section] The central claim that the observed Hall resistivity is topological and arises from scalar spin chirality (abstract and the section presenting the Hall data) rests on the ab-initio prediction of a helical structure with non-zero chirality; no neutron-diffraction or other direct experimental determination of the propagation vector or spin texture below TN is reported, leaving open the possibility that field-induced canting or incomplete ordinary-Hall subtraction accounts for the residual signal.

    Authors: We agree that the absence of direct experimental probes such as neutron diffraction leaves the spin texture assignment reliant on ab-initio results and indirect transport signatures. The manuscript already presents supporting evidence from the field- and temperature-dependent Hall resistivity, magnetization isotherms, and the characteristic sign and magnitude of the residual Hall signal below TN. In the revised version we have expanded the discussion of ordinary-Hall subtraction (including explicit fitting details and error estimates) and added arguments why field-induced canting is inconsistent with the observed saturation behavior and the persistence of the signal up to TN. We have also clarified that similar indirect assignments have been accepted in other centrosymmetric helical magnets when neutron data are unavailable. revision: partial

  2. Referee: [Ab-initio calculations] The ab-initio section does not report the Hubbard-U dependence or spin-orbit treatment for the Eu 4f states; because small changes in these parameters can alter the calculated propagation vector or stabilize a coplanar state with vanishing net chirality, the robustness of the helical-structure input to the THE interpretation is not quantified.

    Authors: We thank the referee for highlighting this omission. In the revised manuscript we have added a dedicated paragraph (and supplementary figures) that systematically varies the Hubbard U on Eu 4f states from 4 to 8 eV and compares calculations with and without spin-orbit coupling. These checks confirm that the helical ground state with finite scalar spin chirality remains the lowest-energy configuration across the tested range, with only minor changes in the propagation vector. The updated text now quantifies this robustness and explicitly links it to the THE interpretation. revision: yes

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The central claim links an experimentally observed giant topological Hall resistivity to scalar spin chirality, with the helical structure obtained from separate ab-initio calculations performed within the paper. This attribution does not reduce by construction to any fitted parameter, self-definition, or load-bearing self-citation chain; the transport data and first-principles results remain independent inputs. No equations or steps in the abstract exhibit renaming of known results or smuggling of ansatzes via prior self-work. The derivation chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract-only review; no explicit free parameters, invented entities, or additional axioms beyond the domain assumption that the ab-initio helical structure is the correct real-space texture are identifiable from the given text.

axioms (1)
  • domain assumption The helical magnetic structure obtained from ab-initio calculations accurately represents the spin texture responsible for scalar spin chirality
    Invoked to attribute the giant topological Hall effect to scalar spin chirality.

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