Quantization of the higher Berry curvature and the higher Thouless pump
Autor: | Artymowicz, Adam, Kapustin, Anton, Sopenko, Nikita |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: v2: typos corrected, exposition improved, examples of families with nonzero higher Berry class and higher Thouless pump added. Version accepted to Comm. Math. Phys |
Databáze: | arXiv |
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