Hall conductivity pump

Lev Spodyneiko

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arXiv · 2309.14332

Hall conductivity pump

Lev Spodyneiko

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Abstract

The Thouless charge pump represents a transfer of electric charge through a gapped one-dimensional system between its zero-dimensional boundaries under a periodic change of a parameter. The value of the passed charged during a single cycle is known to be a topological invariant. We construct an analogous topological invariant that measures a pump of Hall conductance inside of three-dimensional material between its two-dimensional boundaries.

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cond-mat.mes-hall cond-mat.str-el hep-th

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Lev Spodyneiko. 2023-09-25. Hall conductivity pump. https://arxiv.org/abs/2309.14332

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