Purely electrical detection of the spin-splitting vector in $p$-wave magnets based on linear and nonlinear conductivities
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911146339991552 |
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| author | Ezawa, Motohiko |
| author_facet | Ezawa, Motohiko |
| contents | A $p$-wave magnet has a momentum-dependent spin splitting and zero-net magnetization just as in the case of an altermagnet. It will be useful for high-density and ultra-fast memory, where the direction of the spin-splitting vector may be used as a bit. The spin-splitting vector corresponds to the Néel vector in altermagnets. However, it is a nontrivial problem to detect the spin-splitting vector in a $p$-wave magnet because time-reversal symmetry is preserved, while this is not a problem in an altermagnet because the anomalous Hall conductivity is present due to the breaking of time-reversal symmetry. Here, we show that it is possible to detect the in-plane component of the spin-splitting vector in the $p$-wave magnet by measuring the linear transverse and longitudinal Drude conductivity. Remarkably, this measurement is possible without using magnetization. Furthermore, we study the nonlinear Drude conductivity, the quantum-metric and the Berry curvature dipole induced nonlinear conductivity in the presence of tiny magnetization along the $z$\ axis. It is possible to detect the $z$-component of the spin-splitting vector by measuring the above nonlinear conductivities. We obtain analytic formulae for them in the first-order perturbation theory, which agree quite well with numerical results without perturbation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21854 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Purely electrical detection of the spin-splitting vector in $p$-wave magnets based on linear and nonlinear conductivities Ezawa, Motohiko Mesoscale and Nanoscale Physics A $p$-wave magnet has a momentum-dependent spin splitting and zero-net magnetization just as in the case of an altermagnet. It will be useful for high-density and ultra-fast memory, where the direction of the spin-splitting vector may be used as a bit. The spin-splitting vector corresponds to the Néel vector in altermagnets. However, it is a nontrivial problem to detect the spin-splitting vector in a $p$-wave magnet because time-reversal symmetry is preserved, while this is not a problem in an altermagnet because the anomalous Hall conductivity is present due to the breaking of time-reversal symmetry. Here, we show that it is possible to detect the in-plane component of the spin-splitting vector in the $p$-wave magnet by measuring the linear transverse and longitudinal Drude conductivity. Remarkably, this measurement is possible without using magnetization. Furthermore, we study the nonlinear Drude conductivity, the quantum-metric and the Berry curvature dipole induced nonlinear conductivity in the presence of tiny magnetization along the $z$\ axis. It is possible to detect the $z$-component of the spin-splitting vector by measuring the above nonlinear conductivities. We obtain analytic formulae for them in the first-order perturbation theory, which agree quite well with numerical results without perturbation. |
| title | Purely electrical detection of the spin-splitting vector in $p$-wave magnets based on linear and nonlinear conductivities |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2410.21854 |