Third-order and fifth-order nonlinear spin-current generation in $g$-wave and $i$-wave altermagnets, and perfectly nonreciprocal spin-current in $f$-wave magnets
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910894961721344 |
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| author | Ezawa, Motohiko |
| author_facet | Ezawa, Motohiko |
| contents | A prominent feature of $d$-wave altermagnets is the pure spin current generated in the absence of spin-orbit interactions. In the context of symmetry, there are the $s$-wave, the $p$-wave, the $d$-wave, the $f$-wave, the $g$-wave and the $i$-wave magnets. In this paper, making an analytic study of two-band Hamiltonian systems coupled with electrons, we demonstrate unexpectedly that only the $\ell $-th order nonlinear transverse spin current proportional to $E^{\ell }$ is generated in higher-wave symmetric magnets when the number of the nodes is $\ell +1$. Here $E$ is applied electric field. The nonlinear spin current is essential provided the linear spin current is absent. Indeed, only the third-order nonlinear spin current is generated in $g$-wave altermagnets, while only the fifth-order spin current is generated in $i$-wave altermagnets. In particular, only the second-order nonlinear spin current is generated in $f$-wave magnets, which leads to a perfect nonreciprocal spin current. On the other hand, there is no spin-current generation in $p$-wave magnets. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_16036 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Third-order and fifth-order nonlinear spin-current generation in $g$-wave and $i$-wave altermagnets, and perfectly nonreciprocal spin-current in $f$-wave magnets Ezawa, Motohiko Mesoscale and Nanoscale Physics A prominent feature of $d$-wave altermagnets is the pure spin current generated in the absence of spin-orbit interactions. In the context of symmetry, there are the $s$-wave, the $p$-wave, the $d$-wave, the $f$-wave, the $g$-wave and the $i$-wave magnets. In this paper, making an analytic study of two-band Hamiltonian systems coupled with electrons, we demonstrate unexpectedly that only the $\ell $-th order nonlinear transverse spin current proportional to $E^{\ell }$ is generated in higher-wave symmetric magnets when the number of the nodes is $\ell +1$. Here $E$ is applied electric field. The nonlinear spin current is essential provided the linear spin current is absent. Indeed, only the third-order nonlinear spin current is generated in $g$-wave altermagnets, while only the fifth-order spin current is generated in $i$-wave altermagnets. In particular, only the second-order nonlinear spin current is generated in $f$-wave magnets, which leads to a perfect nonreciprocal spin current. On the other hand, there is no spin-current generation in $p$-wave magnets. |
| title | Third-order and fifth-order nonlinear spin-current generation in $g$-wave and $i$-wave altermagnets, and perfectly nonreciprocal spin-current in $f$-wave magnets |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2411.16036 |