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arXiv · 1701.01127

Bosonic integer quantum Hall effect as topological pumping

Masaya Nakagawa·Shunsuke Furukawa
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Abstract

Based on a quasi-one-dimensional limit of quantum Hall states on a thin torus, we construct a model of interaction-induced topological pumping which mimics the Hall response of the bosonic integer quantum Hall (BIQH) state. The quasi-one-dimensional counterpart of the BIQH state is identified as the Haldane phase composed of two-component bosons which form effective spin-$1$ degrees of freedom. An adiabatic change between the Haldane phase and trivial Mott insulators constitute {\it off-diagonal} topological pumping in which the translation of the lattice potential for one component induces a current in the other. The mechanism of this pumping is interpreted in terms of changes in polarizations between symmetry-protected quantized values.

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Masaya Nakagawa, Shunsuke Furukawa. 2017-04-17. Bosonic integer quantum Hall effect as topological pumping. https://doi.org/10.1103/physrevb.95.165116

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