Almost half-quantized planar Hall effects in $X$-wave magnets with $X=p,d,f,g,i$
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917152862240768 |
|---|---|
| author | Ezawa, Motohiko |
| author_facet | Ezawa, Motohiko |
| contents | 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 $N_{X}$ of the nodes in the band structure, where $N_{X}=1,2,3,4,6$ corresponding 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 $σ_{xy}=\pm (e^{2}/2h)$ sgn$\left( J\sin N_{X}Φ\right) $, 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 $N_{X}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09472 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Almost half-quantized planar Hall effects in $X$-wave magnets with $X=p,d,f,g,i$ Ezawa, Motohiko Mesoscale and Nanoscale Physics 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 $N_{X}$ of the nodes in the band structure, where $N_{X}=1,2,3,4,6$ corresponding 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 $σ_{xy}=\pm (e^{2}/2h)$ sgn$\left( J\sin N_{X}Φ\right) $, 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 $N_{X}$ 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. |
| title | Almost half-quantized planar Hall effects in $X$-wave magnets with $X=p,d,f,g,i$ |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2508.09472 |