Nonlinear Hall effect on a disordered lattice
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913487466266624 |
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| author | Chen, Rui Du, Z. Z. Sun, Hai-Peng Lu, Hai-Zhou Xie, X. C. |
| author_facet | Chen, Rui Du, Z. Z. Sun, Hai-Peng Lu, Hai-Zhou Xie, X. C. |
| contents | The nonlinear Hall effect has recently attracted significant interest due to its potential as a promising spectral tool and device applications. A theory of the nonlinear Hall effect on a disordered lattice is a crucial step towards explorations in realistic devices, but has not been addressed. We study the nonlinear Hall response on a lattice, which allows us to introduce strong disorder numerically. We reveal a disorder-induced fluctuation of the Berry curvature that was not discovered in the previous perturbation theories. The fluctuating Berry curvature induces a fluctuation of the nonlinear Hall conductivity, which anomalously increases as the Fermi energy moves from the band edges to higher energies. More importantly, the fluctuation may explain those observations in the recent experiments. We also discover an "Anderson localization" of the nonlinear Hall effect. This work shows a territory of the nonlinear Hall effect yet to be explored. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_07000 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nonlinear Hall effect on a disordered lattice Chen, Rui Du, Z. Z. Sun, Hai-Peng Lu, Hai-Zhou Xie, X. C. Mesoscale and Nanoscale Physics The nonlinear Hall effect has recently attracted significant interest due to its potential as a promising spectral tool and device applications. A theory of the nonlinear Hall effect on a disordered lattice is a crucial step towards explorations in realistic devices, but has not been addressed. We study the nonlinear Hall response on a lattice, which allows us to introduce strong disorder numerically. We reveal a disorder-induced fluctuation of the Berry curvature that was not discovered in the previous perturbation theories. The fluctuating Berry curvature induces a fluctuation of the nonlinear Hall conductivity, which anomalously increases as the Fermi energy moves from the band edges to higher energies. More importantly, the fluctuation may explain those observations in the recent experiments. We also discover an "Anderson localization" of the nonlinear Hall effect. This work shows a territory of the nonlinear Hall effect yet to be explored. |
| title | Nonlinear Hall effect on a disordered lattice |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2309.07000 |