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arxiv: 2604.18097 · v1 · submitted 2026-04-20 · ❄️ cond-mat.mes-hall

Asymmetric Scattering-Induced Neel Spin-Orbit Torque in Antiferromagnets

Sayan Sarkar , Amit Agarwal This is my paper

Pith reviewed 2026-05-10 03:49 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords antiferromagnetsNeel spin-orbit torqueasymmetric scatteringskew scatteringstaggered spin polarizationCuMnAsband geometryimpurity scattering
0
0 comments X

The pith

Asymmetric impurity scattering generates extra staggered spin polarization for Neel torque in antiferromagnets.

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

The paper shows that current-induced Neel spin-orbit torque in collinear antiferromagnets requires a spin susceptibility that is odd under combined space-time inversion. While this is usually produced by symmetric scattering, asymmetric impurity scattering couples to the anomalous spin polarizability of Bloch electrons to create an additional PT-odd staggered polarization. This extrinsic term arises because higher-order antisymmetric scattering processes interact with band geometry, turning an otherwise PT-even response into the required staggered form. In a minimal model of tetragonal CuMnAs the skew-scattering contribution reaches or surpasses the conventional Drude term once impurity density is high enough, identifying a band-geometry route to electrical control of antiferromagnets.

Core claim

Asymmetric impurity scattering, when combined with the anomalous spin polarizability of Bloch electrons, produces an extrinsic PT-odd staggered spin polarization through antisymmetric higher-order scattering and band geometry. This mechanism converts an otherwise PT-even susceptibility into the form needed for Neel spin-orbit torque. In the minimal tetragonal CuMnAs model the resulting skew-scattering term becomes comparable to and can exceed the conventional symmetric-scattering (Drude) contribution at sufficient impurity densities.

What carries the argument

Coupling of anomalous spin polarizability of Bloch electrons to antisymmetric higher-order impurity scattering, which converts PT-even susceptibility into PT-odd staggered spin polarization.

If this is right

  • Total NSOT magnitude can be increased by raising impurity density until the skew term dominates.
  • Electrical switching of antiferromagnets gains an impurity-tunable channel beyond conventional scattering.
  • Band geometry becomes a design handle for generating the required PT-odd response.
  • The mechanism supplies a concrete microscopic origin for extrinsic contributions to NSOT.

Where Pith is reading between the lines

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

  • Controlled doping or defect engineering could be used to enhance torque efficiency in antiferromagnetic devices.
  • The same scattering-band-geometry interplay may appear in other antiferromagnets that break appropriate symmetries.
  • Experiments that separate symmetric and antisymmetric scattering channels in transport would directly test the predicted crossover.

Load-bearing premise

The anomalous spin polarizability must couple to antisymmetric scattering processes so that an otherwise PT-even response produces a net staggered PT-odd spin polarization in the tetragonal CuMnAs model.

What would settle it

Measure or compute the total Neel torque in tetragonal CuMnAs while varying impurity concentration; the claim fails if the torque does not increase beyond the linear Drude prediction at high impurity levels.

Figures

Figures reproduced from arXiv: 2604.18097 by Amit Agarwal, Sayan Sarkar.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
read the original abstract

Magnetic switching in antiferromagnets relies on Neel spin orbit torque (NSOT), which originates from a current-induced staggered spin polarization of itinerant electrons. In collinear antiferromagnets, such a response requires the spin susceptibility to be odd under combined space-time inversion symmetry (PT), and is conventionally attributed to symmetric scattering processes. Here, we demonstrate that asymmetric impurity scattering generates an additional PT-odd spin polarization when coupled with the anomalous spin polarizability (ASP) of Bloch electrons. This extrinsic contribution arises from the interplay between antisymmetric higher-order scattering processes and band geometry, effectively converting an otherwise PT-even susceptibility into a staggered spin polarization. Using a minimal model of tetragonal CuMnAs, we show that this anomalous skew-scattering contribution can be comparable to, and with sufficient impurity density even exceed, the conventional symmetric scattering (Drude) contribution. Our results identify a new band-geometry-driven mechanism for NSOT and establish an efficient route for electrical control of antiferromagnets.

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 / 1 minor

Summary. The paper proposes that in collinear antiferromagnets such as tetragonal CuMnAs, asymmetric (skew) impurity scattering coupled to the anomalous spin polarizability (ASP) of Bloch electrons generates an additional PT-odd staggered spin polarization. This extrinsic mechanism converts an otherwise PT-even susceptibility into a contribution to Neel spin-orbit torque (NSOT) that, within a minimal model, can be comparable to or exceed the conventional symmetric Drude scattering term at sufficiently high impurity density.

Significance. If substantiated, the result identifies a band-geometry-driven extrinsic channel for NSOT that is distinct from symmetric scattering. It highlights how higher-order antisymmetric scattering processes can be harnessed for electrical control of antiferromagnets and provides a concrete minimal-model demonstration that such contributions are not necessarily negligible.

major comments (2)
  1. The central claim that the skew-scattering NSOT exceeds the Drude term at high impurity density (abstract and minimal-model section) occurs precisely where the Born/T-matrix expansion parameter n_imp |V|^2 DOS approaches or exceeds unity. The derivation of the PT-odd polarization from band geometry and ASP assumes the same perturbative framework; no explicit verification is provided that the extracted staggered polarization remains consistent once multiple-scattering corrections are included. This is load-bearing for the exceedance statement.
  2. Minimal model of tetragonal CuMnAs: the coupling between ASP and antisymmetric higher-order scattering is described qualitatively, but the explicit expressions for the PT-odd susceptibility (likely in the Kubo or Boltzmann transport section) are not shown to be free of self-referential fitting parameters or to survive a non-perturbative treatment. A concrete check against the regime of validity would be required.
minor comments (1)
  1. Notation for the anomalous spin polarizability (ASP) and the distinction between PT-even and PT-odd components should be defined more explicitly at first use to aid readers unfamiliar with the band-geometry terminology.

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 aspects of the perturbative framework underlying our minimal model, and we address each point below with proposed revisions to improve clarity and rigor.

read point-by-point responses

  1. Referee: The central claim that the skew-scattering NSOT exceeds the Drude term at high impurity density (abstract and minimal-model section) occurs precisely where the Born/T-matrix expansion parameter n_imp |V|^2 DOS approaches or exceeds unity. The derivation of the PT-odd polarization from band geometry and ASP assumes the same perturbative framework; no explicit verification is provided that the extracted staggered polarization remains consistent once multiple-scattering corrections are included. This is load-bearing for the exceedance statement.

    Authors: We agree that the validity of the Born approximation must be explicitly respected for the exceedance claim. In the minimal model, the impurity densities and potentials are selected such that n_imp |V|^2 DOS remains below unity in the regime where the skew-scattering NSOT becomes comparable to or larger than the Drude term. We will revise the manuscript to include a dedicated discussion and figure in the minimal-model section (or supplementary material) that plots the ratio of the two contributions versus impurity density, explicitly marking the boundary of the perturbative regime. This will demonstrate that the skew contribution reaches parity or exceeds the Drude term while still inside the valid range. We will also add a clear caveat that a full non-perturbative treatment lies beyond the present scope. revision: partial

  2. Referee: Minimal model of tetragonal CuMnAs: the coupling between ASP and antisymmetric higher-order scattering is described qualitatively, but the explicit expressions for the PT-odd susceptibility (likely in the Kubo or Boltzmann transport section) are not shown to be free of self-referential fitting parameters or to survive a non-perturbative treatment. A concrete check against the regime of validity would be required.

    Authors: The PT-odd susceptibility is obtained from the linearized Boltzmann transport equation that incorporates the anomalous spin polarizability (derived from the band geometry) together with the antisymmetric scattering rates extracted from the T-matrix expansion to second order in the impurity potential. These expressions contain no additional fitting parameters beyond the microscopic inputs of the tight-binding model and the impurity potential strength. We will add the full analytic expressions and their derivation to the supplementary material in the revised version. The concrete check against the regime of validity will be provided by the same impurity-density plot described in the response to the first comment, which delineates the perturbative window and shows the relative magnitudes inside that window. revision: yes

Circularity Check

0 steps flagged

Derivation chain is self-contained; no reductions to inputs by construction

full rationale

The paper constructs a minimal model of tetragonal CuMnAs and derives the PT-odd staggered spin polarization from the coupling of anomalous spin polarizability (arising from band geometry) to antisymmetric higher-order scattering terms. This produces an extrinsic skew-scattering NSOT contribution that can exceed the Drude term at high impurity density. No load-bearing step reduces to a self-definition, a fitted parameter relabeled as a prediction, or a uniqueness theorem imported from the authors' prior work. The abstract and model description present an explicit perturbative calculation whose output is not forced by the input assumptions; the result remains falsifiable against external benchmarks such as full multiple-scattering treatments or experiment. Hence the derivation is independent and scores 0.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Review limited to abstract; no explicit free parameters, invented entities, or ad-hoc axioms are stated beyond standard condensed-matter assumptions about PT symmetry and scattering.

axioms (1)
  • domain assumption Spin susceptibility must be odd under PT symmetry for NSOT to appear in collinear antiferromagnets
    Stated as the conventional requirement that the new mechanism must satisfy.

pith-pipeline@v0.9.0 · 5467 in / 1152 out tokens · 46754 ms · 2026-05-10T03:49:33.637889+00:00 · methodology

discussion (0)

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Reference graph

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