Quantization of the higher Berry curvature and the higher Thouless pump
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 pum...
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| Zusammenfassung: | 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. |
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| DOI: | 10.48550/arxiv.2305.06399 |