Quantization of the higher Berry curvature and the higher Thouless pump

Autor:	Artymowicz, Adam, Kapustin, Anton, Sopenko, Nikita
Rok vydání:	2023
Předmět:	Mathematical Physics Condensed Matter - Strongly Correlated Electrons High Energy Physics - Theory
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
Externí odkaz:	http://arxiv.org/abs/2305.06399 Zobrazit plný text záznamu View this record from Arxiv