Topological properties of one-dimensional hardcore Bose-Fermi mixture

被引：2

作者：

Jia Yong-Fei ^{[1
]}

Guo Huai-Ming ^{[1
]}

Qin Ji-Hong ^{[2
]}

Chen Zi-Yu ^{[1
]}

Feng Shi-Ping ^{[3
]}

机构：

[1] Beihang Univ, Dept Phys, Beijing 100191, Peoples R China

[2] Univ Sci & Technol Beijing, Dept Phys, Beijing 100083, Peoples R China

[3] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China

来源：

CHINESE PHYSICS B | 2013年 / 22卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Bose-Fermi mixture; topological insulators; BERRY PHASE; PARTICLES;

D O I：

10.1088/1674-1056/22/9/090308

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：5

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