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arxiv: 2503.20545 · v2 · submitted 2025-03-26 · ❄️ cond-mat.mes-hall · cond-mat.mtrl-sci· physics.app-ph

Symmetry Enhanced Unconventional Spin Current Anisotropy in a Collinear Antiferromagnet

Pankhuri Gupta , Kacho Imtiyaz Ali Khan , Akash Kumar , Rekha Agarwal , Nidhi Kandwal , Ram Singh Yadav , Johan {\AA}kerman , Pranaba Kishor Muduli This is my paper

Pith reviewed 2026-05-22 22:35 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.mtrl-sciphysics.app-ph
keywords spin-orbit torqueantiferromagnetFeSnspin Hall effectNéel vectorkagome latticeheterostructuresymmetry anisotropy
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0 comments X

The pith

Epitaxial FeSn produces six-fold symmetric damping-like spin-orbit torques and unconventional field-like torques from out-of-plane spins.

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

The paper examines spin-orbit torques in heterostructures of epitaxial FeSn, a collinear antiferromagnet on a kagome lattice, and permalloy. Measurements show that the damping-like torque exhibits six-fold symmetry matching the crystal orientation of the FeSn layer. An additional unconventional field-like torque arises from spin currents polarized out of the plane, with its strength depending on both the crystal symmetry and the direction of the antiferromagnetic Néel vector. These findings indicate that the symmetry of the antiferromagnet can control the anisotropy of the generated spin currents. This approach could provide new ways to manipulate magnetic states in spintronic devices using antiferromagnetic materials.

Core claim

Using spin-torque ferromagnetic resonance on epitaxial FeSn/Py heterostructures, a damping-like spin-orbit torque is observed that displays six-fold symmetry corresponding to the [0001] orientation of the FeSn films. In addition, a substantial unconventional field-like torque is detected that originates from spin currents carrying out-of-plane spin polarization; this torque's angular dependence is a superposition of six-fold crystalline symmetry and uniaxial symmetry tied to the antiferromagnetic spin Hall effect, and it strengthens when the radiofrequency current aligns with the Néel vector in FeSn.

What carries the argument

The antiferromagnetic spin Hall effect in collinear kagome FeSn, which generates spin currents whose polarization and magnitude depend on the crystal and magnetic symmetries.

If this is right

  • Spin-orbit torques can be made anisotropic through the inherent symmetries of collinear antiferromagnets.
  • The unconventional field-like torque provides access to out-of-plane spin polarizations in antiferromagnetic systems.
  • Aligning current with the Néel vector enhances the unconventional torque component.
  • Six-fold symmetry allows for torque responses in multiple equivalent directions in the plane.

Where Pith is reading between the lines

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

  • If the symmetry-enhanced torques hold, heterostructures could be designed to switch magnetization directions selectively by choosing current angles relative to the Néel vector.
  • Similar symmetry effects may enable low-power control in antiferromagnetic spintronic devices without needing heavy metals.
  • Testing in other kagome-lattice antiferromagnets could reveal if the topological features contribute to the observed torques.

Load-bearing premise

The torques measured in the heterostructures are produced by spin currents from within the FeSn antiferromagnet layer and their angular patterns can be separated into crystalline and uniaxial parts without extra parameters.

What would settle it

Performing the same spin-torque ferromagnetic resonance experiment on a sample where the FeSn layer is replaced by a non-antiferromagnetic material or rotated to break the six-fold symmetry would eliminate the reported symmetric components if they truly originate from FeSn.

Figures

Figures reproduced from arXiv: 2503.20545 by Akash Kumar, Johan {\AA}kerman, Kacho Imtiyaz Ali Khan, Nidhi Kandwal, Pankhuri Gupta, Pranaba Kishor Muduli, Ram Singh Yadav, Rekha Agarwal.

Figure 1
Figure 1. Figure 1: Schematic of FeSn and XRD measurements (a) Schematic of the unit cell (blue) of the kagome antiferromagnet FeSn. (b) Schematic of the kagome layer of Fe3Sn and stanene layer of Sn2. Fe atoms are depicted in red, and Sn atoms are shown in Gray. (c) Structural characterization using θ − 2θ XRD scan measured for Pt(5 nm)/FeSn(30 nm). (d) ϕ-scan measurements for Pt(5 nm)/FeSn(30 nm) film on an Al2O3 substrate.… view at source ↗
Figure 2
Figure 2. Figure 2: STFMR measurements (a) Structure of STFMR device consisting of a FeSn/Py bilayer. This device is subject to electric current flowing along the x−direction, resulting in the generation of both in-plane (τ∥) and out-of-plane (τ⊥) torque. (b) The schematic depicts the setup for STFMR measurements. c) Frequency-dependent STFMR spectra of FeSn/Py microstrip measured at φ = 40◦ when the current direction is at 0… view at source ↗
Figure 3
Figure 3. Figure 3: Crystallographic dependence of STFMR (a-e) SEM image of differently oriented devices (left panel), VS (middle panel) and VA (right panel) components as a function of angle φ. θR represent the angle between IRF and in-plane reference direction [1¯100]. We then analyze the results in more detail by performing complete angular dependence of the STFMR. In sys￾tems with conventional SHE and REE, the angular dep… view at source ↗
Figure 4
Figure 4. Figure 4: Crystallographic dependence of spin-torque efficiencies (a) Kagome Structure with Néel vector (gray) and IRF (black dashed) in parallel and perpendicular orientations (b) DL SOT efficiency due to y− spin polarization and (c) FL SOT efficiency due to z− spin polarization for different θR values in FeSn/Py device and Ref. device. efficiencies due to the y− spin polarization, denoted as ξ y DL, are shown in F… view at source ↗
read the original abstract

Spin-orbit torque (SOT) presents a promising avenue for energy-efficient spintronics devices, surpassing the limitations of spin transfer torque. While extensively studied in heavy metals, SOT in antiferromagnetic quantum materials remains largely unexplored. Here, we investigate SOT in epitaxial FeSn, a collinear antiferromagnet with a kagome lattice. FeSn exhibits intriguing topological quantum features, including two-dimensional flat bands and Dirac-like surface states, making it an ideal platform for investigating emergent SOT properties. Using spin-torque ferromagnetic resonance, we uncover a six-fold symmetric damping-like SOT in epitaxial-FeSn/Py heterostructures, reflecting the six-fold symmetry of the epitaxial [0001]-oriented FeSn films. Additionally, we observe a substantial unconventional field-like torque, originating from spin currents with out-of-plane spin polarization. This torque exhibits a unique angular dependence-a superposition of six-fold crystalline symmetry and uniaxial symmetry associated with the antiferromagnetic spin Hall effect. Notably, the unconventional field-like torque is enhanced when the RF current flows along the Neel vector in FeSn. Our findings reveal an unconventional spin current anisotropy tunable by crystalline and magnetic symmetry, offering a novel approach for controlling SOT in antiferromagnetic spintronics.

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 manuscript reports spin-torque ferromagnetic resonance measurements on epitaxial [0001]-oriented FeSn/Py heterostructures. It claims observation of a six-fold symmetric damping-like spin-orbit torque (SOT) that tracks the crystalline symmetry of the FeSn layer, together with a substantial unconventional field-like torque arising from spin currents with out-of-plane polarization; the latter exhibits an angular dependence that is a superposition of six-fold crystalline symmetry and uniaxial symmetry linked to the antiferromagnetic spin Hall effect, and is enhanced when the RF current is aligned with the Néel vector.

Significance. If the attribution of both torque components to bulk spin currents generated inside the FeSn layer is substantiated, the work would demonstrate how the combination of kagome-lattice crystalline symmetry and collinear antiferromagnetic order can produce tunable, symmetry-enhanced unconventional spin-current anisotropies, offering a materials platform distinct from conventional heavy-metal systems for antiferromagnetic spintronics.

major comments (2)
  1. [Abstract and inferred Results section] The central interpretation—that the six-fold damping-like SOT and the unconventional field-like torque (with out-of-plane polarization) originate from spin currents inside the epitaxial FeSn layer rather than from the FeSn/Py interface, the Py layer itself, or resonance-fitting artifacts—lacks supporting controls. No thickness series, interface-modified control samples, or quantitative comparison of torque magnitudes versus FeSn thickness is described, leaving the bulk-origin claim load-bearing yet unsecured.
  2. [Abstract and inferred angular-dependence analysis] The decomposition of the field-like torque angular dependence into a clean superposition of six-fold crystalline and uniaxial (Néel-vector) components is presented without reported fitting residuals, parameter counts, or independent verification that the uniaxial term is absent in control samples lacking antiferromagnetic order; this decomposition is essential to the claim of symmetry-enhanced anisotropy.
minor comments (1)
  1. The abstract does not state the measurement temperature, RF power range, or sample growth details (e.g., substrate, buffer layer), which would aid reproducibility assessment.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their thorough review and valuable feedback on our manuscript. We address each major comment below, providing clarifications and indicating revisions where appropriate.

read point-by-point responses

  1. Referee: The central interpretation—that the six-fold damping-like SOT and the unconventional field-like torque (with out-of-plane polarization) originate from spin currents inside the epitaxial FeSn layer rather than from the FeSn/Py interface, the Py layer itself, or resonance-fitting artifacts—lacks supporting controls. No thickness series, interface-modified control samples, or quantitative comparison of torque magnitudes versus FeSn thickness is described, leaving the bulk-origin claim load-bearing yet unsecured.

    Authors: We agree that a thickness series or interface controls would provide stronger evidence for the bulk origin. However, the observed six-fold symmetry in the damping-like torque matches the crystalline symmetry of the epitaxial FeSn layer, which is not present in the Py layer or a typical interface. Similarly, the unconventional field-like torque's angular dependence reflects both crystalline and antiferromagnetic symmetries unique to FeSn. We will revise the manuscript to include a more detailed discussion of these symmetry-based arguments supporting the bulk contribution and acknowledge the absence of thickness-dependent data as a limitation. revision: partial

  2. Referee: The decomposition of the field-like torque angular dependence into a clean superposition of six-fold crystalline and uniaxial (Néel-vector) components is presented without reported fitting residuals, parameter counts, or independent verification that the uniaxial term is absent in control samples lacking antiferromagnetic order; this decomposition is essential to the claim of symmetry-enhanced anisotropy.

    Authors: The angular dependence was modeled as a superposition of six-fold and uniaxial terms based on the symmetries involved. We will include the explicit fitting function, number of parameters, and residuals in the revised supplementary material to allow assessment of the decomposition quality. Independent control samples without antiferromagnetic order were not included in this study; the uniaxial component is attributed to the Néel vector based on the known magnetic structure of FeSn. revision: partial

Circularity Check

0 steps flagged

No circularity: experimental measurements with data-driven torque extraction

full rationale

The paper is an experimental study using spin-torque ferromagnetic resonance on epitaxial FeSn/Py heterostructures. Reported results (six-fold damping-like SOT and unconventional field-like torque with crystalline + uniaxial angular dependence) are extracted directly from resonance data and angular scans. No derivation chain, first-principles equations, or predictions are claimed that reduce to inputs by construction. No self-citations are load-bearing for any mathematical result, and no ansatz or fitted parameter is renamed as a prediction. The work is self-contained against external benchmarks as an empirical report; the central claims rest on raw data reproducibility rather than internal definitional loops.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on standard assumptions of the spin-torque FMR analysis technique and the attribution of measured torques to bulk spin currents in FeSn; no free parameters or new entities are introduced in the abstract.

axioms (1)
  • domain assumption The spin-torque ferromagnetic resonance lineshape model accurately separates damping-like and field-like torques without significant cross-talk from other effects.
    This is the standard analysis framework used to extract the reported torques from resonance data.

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