Nonlinear Topological Orbital Responses of Antiferromagnetic Skyrmions
Abstract
Antiferromagnetic skyrmions evade the skyrmion Hall effect, but compensation suppresses their conventional topological charge Hall signal. We predict a semiclassical nonlinear topological orbital response of an isolated skyrmion in a 𝒫𝒯-symmetric hexagonal antiferromagnet without spin-orbit coupling. In the diffusive, weak-emergent-field regime, the spin-dependent emergent Lorentz force reshapes the carrier distribution, generating a local orbital Hall-current correction and a local orbital accumulation, both quadratic in the applied electric field. The current correction requires spin-asymmetric longitudinal scattering, whereas the accumulation survives spin-symmetric scattering. When the spin-diffusion length greatly exceeds the strip width, the current correction persists while the accumulation approaches zero. Both signals are even under electric-field reversal, odd under reversal of the skyrmion topological charge Q, and helicity independent within this model. These symmetries enable rectified detection and distinguish this mechanism from the Q-even quantum-regime topological orbital Hall effect.
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BibTeX
@misc{zarezad2026nonlinear,
title = {{Nonlinear Topological Orbital Responses of Antiferromagnetic Skyrmions}},
author = {Amir N. Zarezad and Arne Brataas and Alireza Qaiumzadeh},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.08022},
eprint = {2609.08022},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08022},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Nonlinear Topological Orbital Responses of Antiferromagnetic Skyrmions
AU - Amir N. Zarezad
AU - Arne Brataas
AU - Alireza Qaiumzadeh
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2609.08022
UR - https://arxiv.org/abs/2609.08022
AB - Antiferromagnetic skyrmions evade the skyrmion Hall effect, but compensation suppresses their conventional topological charge Hall signal. We predict a semiclassical nonlinear topological orbital response of an isolated skyrmion in a 𝒫𝒯-symmetric hexagonal antiferromagnet without spin-orbit coupling. In the diffusive, weak-emergent-field regime, the spin-dependent emergent Lorentz force reshapes the carrier distribution, generating a local orbital Hall-current correction and a local orbital accumulation, both quadratic in the applied electric field. The current correction requires spin-asymmetric longitudinal scattering, whereas the accumulation survives spin-symmetric scattering. When the spin-diffusion length greatly exceeds the strip width, the current correction persists while the accumulation approaches zero. Both signals are even under electric-field reversal, odd under reversal of the skyrmion topological charge Q, and helicity independent within this model. These symmetries enable rectified detection and distinguish this mechanism from the Q-even quantum-regime topological orbital Hall effect.
ER -