Higher-order bulk photovoltaic effects, quantum geometry and application to $p$-wave magnets
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914136437293056 |
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| author | Ezawa, Motohiko |
| author_facet | Ezawa, Motohiko |
| contents | The injection and shift currents are generalized to the $\ell $th-order injection and shift currents for the longitudinal conductivities in the two-band model, where $\ell $ is the power of the applied electric field. In addition, the formulas for the higher-order injection current are expressed in terms of the quantum metric and the higher-order shift current in terms of the higher-order quantum connection. Then, they are applied to $p$-wave magnets. It is shown that the injection and shift currents are zero. On the other hand, the $\ell $th-order injection and shift currents with odd $\ell $ are nonzero when the direction of the Néel vector of the $p$-wave magnet points to an in-plane direction. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_00864 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher-order bulk photovoltaic effects, quantum geometry and application to $p$-wave magnets Ezawa, Motohiko Mesoscale and Nanoscale Physics The injection and shift currents are generalized to the $\ell $th-order injection and shift currents for the longitudinal conductivities in the two-band model, where $\ell $ is the power of the applied electric field. In addition, the formulas for the higher-order injection current are expressed in terms of the quantum metric and the higher-order shift current in terms of the higher-order quantum connection. Then, they are applied to $p$-wave magnets. It is shown that the injection and shift currents are zero. On the other hand, the $\ell $th-order injection and shift currents with odd $\ell $ are nonzero when the direction of the Néel vector of the $p$-wave magnet points to an in-plane direction. |
| title | Higher-order bulk photovoltaic effects, quantum geometry and application to $p$-wave magnets |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2507.00864 |