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

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.

Authors:
; ;  [1];  [2]
  1. Department of Physics, Texas A and M University, College Station, Texas 77843-4242 (United States)
  2. Department of Physics, University of California, San Diego, California 92093 (United States)
Publication Date:
OSTI Identifier:
21413308
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 81; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.81.033622; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 74 ATOMIC AND MOLECULAR PHYSICS; ANISOTROPY; ATOMS; CHIRALITY; DETECTION; HALL EFFECT; INTERACTIONS; MODIFICATIONS; PERIODICITY; PHASE TRANSFORMATIONS; POTENTIALS; SCATTERING; TETRAGONAL LATTICES; TOPOLOGY; TRAPPING; VISIBLE RADIATION; CRYSTAL LATTICES; CRYSTAL STRUCTURE; ELECTROMAGNETIC RADIATION; MATHEMATICS; PARTICLE PROPERTIES; RADIATIONS; VARIATIONS

Citation Formats

Xiongjun, Liu, Xin, Liu, Sinova, Jairo, and Congjun, Wu. Quantum anomalous Hall effect with cold atoms trapped in a square lattice. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.81.033622.
Xiongjun, Liu, Xin, Liu, Sinova, Jairo, & Congjun, Wu. Quantum anomalous Hall effect with cold atoms trapped in a square lattice. United States. https://doi.org/10.1103/PHYSREVA.81.033622
Xiongjun, Liu, Xin, Liu, Sinova, Jairo, and Congjun, Wu. Mon . "Quantum anomalous Hall effect with cold atoms trapped in a square lattice". United States. https://doi.org/10.1103/PHYSREVA.81.033622.
@article{osti_21413308,
title = {Quantum anomalous Hall effect with cold atoms trapped in a square lattice},
author = {Xiongjun, Liu and Xin, Liu and Sinova, Jairo and Congjun, Wu},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.81.033622},
url = {https://www.osti.gov/biblio/21413308}, journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 81,
place = {United States},
year = {2010},
month = {3}
}