Almost half-quantized planar Hall effects in -wave magnets with
Motohiko Ezawa
Phys. Rev. B 112, 235307 (2025) - Published 15 December, 2025
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 -wave magnets with , where those with are altermagnets. The -wave magnet is characterized by the number of the nodes in the band structure, where corresponds to . 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 , where is the coefficient of the coupling between the -wave magnet and the electrons and is the direction of the applied magnetic field. Hence, the Hall conductivity is periodic in , and the periodicity is equal to the number of the nodes. This property may be used to confirm that the target material is indeed an -wave magnet. Furthermore, the sign of may be used as a bit for antiferromagnetic spintronics.


