Fadi Sun, Xiao-Lu Yu, Jinwu Ye, Heng Fan, Wu-Ming Liu
The method of synthetic gauge potentials opens up a new avenue for our understanding and discovering novel quantum states of matter. We investigate the topological quantum phase transition of Fermi gases trapped in a honeycomb lattice in the presence of a synthetic non- Abelian gauge potential. We develop a systematic fermionic effective field theory to describe a topological quantum phase transition tuned by the non-Abelian gauge potential and explore its various important experimental consequences. Numerical calculations on lattice scales are performed to compare with the results achieved by the fermionic effective field theory. The important roles of choosing different gauges to measure both gauge invariant and non-gauge invariant physical quantities in various feasible experimental detections of the topological quantum phase transition are emphasized.
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http://arxiv.org/abs/1112.1852
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