In-plane anomalous Hall effect in PT-symmetric antiferromagnetic materials

Abstract

Anomalous Hall effect (AHE), a protocol of various low-power dissipation quantum phenomena and a fundamental precursor of intriguing topological phases of matter, is usually observed in ferromagnetic materials with orthogonal configuration between the electric field, magnetization and the Hall current. Here, based on the symmetry analysis, we find an unconventional AHE induced by the in-plane magnetic field (IPAHE) via spin-canting effect in $\mathcal{P}\mathcal{T}$ symmetric antiferromagnetic (AFM) systems, featuring a linear dependence of magnetic field and 2$\pi$ angle periodicity with a comparable magnitude as conventional AHE. We demonstrate the key findings in the known AFM Dirac semimetal CuMnAs and a new kind of AFM heterodimensional VS${}_2$-VS superlattice with a nodal-line Fermi surface and also briefly discuss the experimental detection. Our work provides an efficient pathway to search and/or design realistic materials for novel IPAHE that could greatly facilitate their application in AFM spintronic devices.

6 pages, 4 figures, 1 table

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• Anomalous-Hall Neel textures in altermagnetic materials
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• Orbital origin of fourfold anisotropic magnetoresistance in Dirac materials
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• Switchable in-plane anomalous Hall effect by magnetization orientation in monolayer ${\mathrm{Mn}}_3{\mathrm{Si}}_2{\mathrm{Te}}_6$
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• Magnon Thermal Hall Effect Induced By Symmetric Exchange Interaction
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