427 citations · 746 across the 17 of their papers we have counts for
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cond-mat.str-el2020★ 4 cited
Higher-dimensional generalizations of the Thouless charge pump
Anton Kapustin, Lev Spodyneiko
We define and study analogs of the Thouless charge pump for many-body gapped systems in dimension . We show how to attach a topological invariant to a -dimensional family of…
cond-mat.str-el2020★ 55 cited
Higher-dimensional generalizations of the Berry curvature
Anton Kapustin, Lev Spodyneiko
A family of finite-dimensional quantum systems with a non-degenerate ground state gives rise to a closed 2-form on the parameter space: the curvature of the Berry connection. Its c…