Bosonic integer quantum Hall effect as topological pumping
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- 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.
Cite
@article{arxiv.1701.01127,
title = {Bosonic integer quantum Hall effect as topological pumping},
author = {Masaya Nakagawa and Shunsuke Furukawa},
journal= {arXiv preprint arXiv:1701.01127},
year = {2017}
}
Comments
10 pages, 5 figures. v2: comment on the case of arbitrary integer filling added, references added