Topological properties of one-dimensional hardcore Bose-Fermi mixture

doi:10.1088/1674-1056/22/9/090308

Abstract We study the topological properties of a one-dimensional (1D) hardcore Bose-Fermi mixture using the exact diagonalization method. We firstly add a hardcore boson to a fermionic system and by examining the edge states we find that the quasi-particle manifests the topological properties of the system. Then we study a mixture with 7 fermions and 1 boson. We find that the mixture also exhibits topological properties and its behaviors are similar to that of the corresponding fermionic system. We present a qualitative explanation to understand such behaviors using the mapping between a hardcore boson and a spinless fermion. These results show the existence of topological properties in a 1D hardcore Bose-Fermi mixture and may be realized using cold atoms trapped in optical lattices experimentally.

Keywords: Bose-Fermi mixture topological insulators

Received: 07 April 2013
Revised: 02 May 2013
Accepted manuscript online:

PACS:	03.65.Vf	(Phases: geometric; dynamic or topological)
	71.27.+a	(Strongly correlated electron systems; heavy fermions)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11274032, 11104189, 11004006, 11274033, 11074023, and 11274044) and FOK YING TUNG Education Foundation, China.

Corresponding Authors: Guo Huai-Ming
E-mail: hmguo@buaa.edu.cn

Cite this article:

Jia Yong-Fei (贾永飞), Guo Huai-Ming (郭怀明), Qin Ji-Hong (秦吉红), Chen Zi-Yu (陈子瑜), Feng Shi-Ping (冯世平) Topological properties of one-dimensional hardcore Bose-Fermi mixture 2013 Chin. Phys. B 22 090308

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