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arXiv · 2402.18369

Topological charge and spin Hall effects due to skyrmions in canted antiferromagnets

A. N. Zarezad·A. Qaiumzadeh·J. Barnaś·A. Dyrdał
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Abstract

The topological charge-Hall effect (TCHE) and the topological spin-Hall effect (TSHE), arising from ferromagnetic (FM) and antiferromagnetic (AFM) skyrmions, respectively; can be elucidated through the emergence of spin-dependent Berry gauge fields that affect the adiabatic flow of electrons within the skyrmion texture. TCHE is absent in systems with parity-time (PT) symmetry, such as collinear AFM systems. In this paper, we theoretically study TCHE and TSHE in a canted antiferromagnetic within the diffusive transport regime. Spin canting or weak ferromagnetism in canted AFMs, which break the PT symmetry, may arise, e.g., from strong homogeneous Dzyaloshinskii-Moriya interactions. Using a semiclassical Boltzmann approach, we obtain diffusion equations for the spin and charge accumulations in the presence of finite spin-flip and spin-dependent momentum relaxation times. We show that the weak ferromagnetic moment stemming from spin canting and the subsequent breaking of parity-time symmetry results in the emergence of both finite TCHE and TSHE in AFM systems.

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A. N. Zarezad, A. Qaiumzadeh, J. Barnaś, A. Dyrdał. 2024-02-28. Topological charge and spin Hall effects due to skyrmions in canted antiferromagnets. https://doi.org/10.1103/physrevb.110.054431

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