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Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

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Front. Phys.    2012, Vol. 7 Issue (2) : 223-234    https://doi.org/10.1007/s11467-012-0247-y
REVIEW ARTICLE
Quantum phase transition of cold atoms trapped in optical lattices
Yao-hua Chen(), Wei Wu, Guo-cai Liu, Hong-shuai Tao, Wu-ming Liu()
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
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Abstract

We review our recent theoretical advances in phase transition of cold atoms in optical lattices, such as triangular lattice, honeycomb lattice, and Kagomé lattice. By employing the new developed numerical methods called dynamical cluster approximation and cellular dynamical mean-field theory, the properties in different phases of cold atoms in optical lattices are studied, such as density of states, Fermi surface and double occupancy. On triangular lattice, a reentrant behavior of phase translation line between Fermi liquid state and pseudogap state is found due to the Kondo effect. We find the system undergoes a second order Mott transition from a metallic state into a Mott insulator state on honeycomb lattice and triangular Kagomé lattice. The stability of quantum spin Hall phase towards interaction on honeycomb lattice with spin–orbital coupling is systematically discussed. And we investigate the transition from quantum spin Hall insulator to normal insulator in Kagomé lattice which includes a nearest-neighbor intrinsic spin–orbit coupling and a trimerized Hamiltonian. In addition, we propose the experimental protocols to observe these phase transition of cold atoms in optical lattices.
Keywords quantum phase transition      optical lattice      DMFT      spin–orbit coupling     
Corresponding Author(s): Chen Yao-hua,Email:chenyaohua@iphy.ac.cn; Liu Wu-ming,Email:wmliu@aphy.iphy.ac.cn   
Issue Date: 01 April 2012
 Cite this article:   
Yao-hua Chen,Wei Wu,Guo-cai Liu, et al. Quantum phase transition of cold atoms trapped in optical lattices[J]. Front. Phys. , 2012, 7(2): 223-234.
 URL:  
https://academic.hep.com.cn/fop/EN/10.1007/s11467-012-0247-y
https://academic.hep.com.cn/fop/EN/Y2012/V7/I2/223
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