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Quantum anomalous Hall effect with cold atoms trapped in a square lattice

2010/03/13 by Xiong-Jun Liu, Xin Liu, Congjun Wu +1 · 4 citations
Physics and Astronomy · #Anisotropy #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Gapless playback #Lattice (music) #Optical lattice #Physics #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum anomalous Hall effect #Quantum mechanics #Quantum spin Hall effect #Square lattice #Topological Materials and Phenomena #Ultracold atom #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physreva.81.033622

published as Phys. Rev. A 81, 033622 (2010) · 5 pages, 3 figures, to appear in Phys. Rev. A

arxiv created 2010/03/13 · openalex publication_date 2010/03/24 · arxiv updated 2015/03/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We propose an experimental scheme to realize the quantum anomalous Hall effect in an anisotropic square optical lattice which can be generated from available experimental setups of double-well lattices with minor modifications. A periodic gauge potential induced by atom-light interaction is introduced to give a Peierls phase for the nearest-neighbor site hopping. The quantized anomalous Hall conductivity is investigated by calculating the Chern number as well as the chiral gapless edge states of our system. Furthermore, we show in detail the feasability for its experimental detection through light Bragg scattering of the edge and bulk states with which one can determine the topological phase transition from usual insulating phase to quantum anomalous Hall phase.

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