Quantization of the higher Berry curvature and the higher Thouless pump
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866909197742899200 |
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| author | Artymowicz, Adam Kapustin, Anton Sopenko, Nikita |
| author_facet | Artymowicz, Adam Kapustin, Anton Sopenko, Nikita |
| contents | We show that for families of 1d lattice systems in an invertible phase, the cohomology class of the higher Berry curvature can be refined to an integral degree-3 class on the parameter space. Similarly, for families of U(1)-invariant 2d lattice systems in an invertible phase, the higher Thouless pump can be refined to an integral degree-2 class on the parameter space. We show that the 2d Thouless pump can be identified with an excess Berry curvature of a flux insertion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_06399 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantization of the higher Berry curvature and the higher Thouless pump Artymowicz, Adam Kapustin, Anton Sopenko, Nikita Mathematical Physics Strongly Correlated Electrons High Energy Physics - Theory We show that for families of 1d lattice systems in an invertible phase, the cohomology class of the higher Berry curvature can be refined to an integral degree-3 class on the parameter space. Similarly, for families of U(1)-invariant 2d lattice systems in an invertible phase, the higher Thouless pump can be refined to an integral degree-2 class on the parameter space. We show that the 2d Thouless pump can be identified with an excess Berry curvature of a flux insertion. |
| title | Quantization of the higher Berry curvature and the higher Thouless pump |
| topic | Mathematical Physics Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2305.06399 |