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arXiv · 1506.00125

Quantum Hall Effects in a Non-Abelian Honeycomb Lattice

Ling Li·Ningning Hao·Guocai Liu·Zhiming Bai·Zai-Dong Li·Shu Chen·Wu-Ming Liu
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Abstract

We study the tunable quantum Hall effects in a non-Abelian honeycomb optical lattice which is a many-Dirac-points system. We find that the quantum Hall effects present different features as change as relative strengths of several perturbations. Namely, a gauge-field-dressed next-nearest-neighbor hopping can induce the quantum spin Hall effect and a Zeeman field can induce a so-called quantum anomalous valley Hall effect which includes two copies of quantum Hall states with opposite Chern numbers and counter-propagating edge states. Our study extends the borders of the field of quantum Hall effects in honeycomb optical lattice when the internal valley degrees of freedom enlarge.

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Ling Li, Ningning Hao, Guocai Liu, Zhiming Bai, Zai-Dong Li, Shu Chen, Wu-Ming Liu. 2015-12-18. Quantum Hall Effects in a Non-Abelian Honeycomb Lattice. https://doi.org/10.1103/physreva.92.063618

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