Comment on "Skyrmion Hall Effect in Altermagnets"
Abstract
In their Letter, Jin et al. [Phys. Rev. Lett. 133, 196701 (2024)] predict a transverse velocity vy for skyrmions driven by spin-transfer torque (STT), known as skyrmion Hall effect (SkHE), in d-wave altermagnets. Usually, the SkHE emerges from the skyrmion's topological charge which here cancels between sublattices. Instead, Jin et al. attribute the SkHE to the dimensionless quadrupole tensor Aij. The result in their Eq. (12) is fitted to micromagnetic simulations, yielding a finite value for Axy. However, via the divergence theorem, Aij simplifies to a boundary integral that vanishes for a sufficiently smooth and localized texture. In this Comment, we substantiate our claim from Ref. [2] that the numerically observed SkHE by Jin et al. for a micromagnetic model with standard Zhang-Li STT in the individual sublattices is merely a discretization artefact.
Related
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BibTeX
@misc{bechler2026comment,
title = {{Comment on "Skyrmion Hall Effect in Altermagnets"}},
author = {Nicolai Timon Bechler and Jan Masell},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22486},
eprint = {2610.22486},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22486},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Comment on "Skyrmion Hall Effect in Altermagnets"
AU - Nicolai Timon Bechler
AU - Jan Masell
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.22486
UR - https://arxiv.org/abs/2610.22486
AB - In their Letter, Jin et al. [Phys. Rev. Lett. 133, 196701 (2024)] predict a transverse velocity v_y for skyrmions driven by spin-transfer torque (STT), known as skyrmion Hall effect (SkHE), in d-wave altermagnets. Usually, the SkHE emerges from the skyrmion's topological charge which here cancels between sublattices. Instead, Jin et al. attribute the SkHE to the dimensionless quadrupole tensor A_ij. The result in their Eq. (12) is fitted to micromagnetic simulations, yielding a finite value for A_xy. However, via the divergence theorem, A_ij simplifies to a boundary integral that vanishes for a sufficiently smooth and localized texture. In this Comment, we substantiate our claim from Ref. [2] that the numerically observed SkHE by Jin et al. for a micromagnetic model with standard Zhang-Li STT in the individual sublattices is merely a discretization artefact.
ER -