Identifying geometric third-order nonlinear transport in disordered materials
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909873798643712 |
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| author | Gong, Zhen-Hao Wei, Zhi-Hao Lu, Hai-Zhou Xie, X. C. |
| author_facet | Gong, Zhen-Hao Wei, Zhi-Hao Lu, Hai-Zhou Xie, X. C. |
| contents | In third-order nonlinear transport, a voltage can be measured in response to the cube of a driving current as a result of the quantum geometric effects, which has attracted tremendous attention. However, in realistic materials where disorder scattering also contributes to nonlinear transport, identifying the geometric mechanisms remains a challenge. We find a total of 20 mechanisms of third-order nonlinear transport by developing a comprehensive theory that treats the geometric effects and disorder scattering on an equal footing. More importantly, we find that 12 of these mechanisms can be unambiguously identified, by deriving a scaling law that expresses the third-order nonlinear Hall conductivity as a polynomial in the linear longitudinal conductivity. We apply this theory to identify the geometric mechanisms of third-order nonlinear transport in materials both with and without time-reversal symmetry, such as 2D materials, topological materials, and altermagnets. This theory further promotes nonlinear transport as a probe of geometric effects and phase transitions in quantum materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24239 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Identifying geometric third-order nonlinear transport in disordered materials Gong, Zhen-Hao Wei, Zhi-Hao Lu, Hai-Zhou Xie, X. C. Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Materials Science In third-order nonlinear transport, a voltage can be measured in response to the cube of a driving current as a result of the quantum geometric effects, which has attracted tremendous attention. However, in realistic materials where disorder scattering also contributes to nonlinear transport, identifying the geometric mechanisms remains a challenge. We find a total of 20 mechanisms of third-order nonlinear transport by developing a comprehensive theory that treats the geometric effects and disorder scattering on an equal footing. More importantly, we find that 12 of these mechanisms can be unambiguously identified, by deriving a scaling law that expresses the third-order nonlinear Hall conductivity as a polynomial in the linear longitudinal conductivity. We apply this theory to identify the geometric mechanisms of third-order nonlinear transport in materials both with and without time-reversal symmetry, such as 2D materials, topological materials, and altermagnets. This theory further promotes nonlinear transport as a probe of geometric effects and phase transitions in quantum materials. |
| title | Identifying geometric third-order nonlinear transport in disordered materials |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Materials Science |
| url | https://arxiv.org/abs/2510.24239 |