2021
DOI: 10.48550/arxiv.2105.05428
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Diophantine equation for the Rice-Mele model: Topological aspect of filling numbers and associated spatial pump

K. Asaga,
T. Fukui

Abstract: We introduce generic spatial modulation with a long period into a typical model of the Thouless pump, the Rice-Mele (RM) model, to examine the lattice analog of the fermion charge in quantum field theory. We derive a Diophantine equation between the fermion charge and the pumped charge, which leads to the one-dimensional (1D) analog of the Streda formula in the quantum Hall effect (QHE). Such a Streda formula tells that an adiabatic change of the period of the spatial modulation yields a spatial charge pump su… Show more

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