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Almost half-quantized planar Hall effects in X-wave magnets with X=p,d,f,g,i

Motohiko Ezawa

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Phys. Rev. B 112, 235307 – Published 15 December, 2025

DOI: https://doi.org/10.1103/zt4l-y18j

Abstract

The planar Hall effect is a phenomenon that the Hall conductivity emerges perpendicular to the electric field in the presence of an in-plane magnetic field. We investigate the planar Hall effect in two-dimensional metal coupled with higher symmetric X-wave magnets with X=p,d,f,g,i, where those with X=d,g,i are altermagnets. The X-wave magnet is characterized by the number NX of the nodes in the band structure, where NX=1,2,3,4,6 corresponds to X=p,d,f,g,i. Although the system is metallic, provided the Dirac gap is tiny, we demonstrate that the Hall conductivities are almost half quantized and well approximated by the formula σxy=±(e2/2h)sgn(JsinNXΦ), where J is the coefficient of the coupling between the X-wave magnet and the electrons and Φ is the direction of the applied magnetic field. Hence, the Hall conductivity is periodic in Φ, and the periodicity is equal to the number NX of the nodes. This property may be used to confirm that the target material is indeed an X-wave magnet. Furthermore, the sign of J may be used as a bit for antiferromagnetic spintronics.

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Outline

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Phys. Rev. B 112, 235307– Published 15 December, 2025
  • Received 13 August 2025
  • Revised 20 October 2025
  • Accepted 25 November 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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