Topological properties of one-dimensional hardcore Bose-Fermi mixture

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....

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Published inChinese physics B Vol. 22; no. 9; pp. 258 - 262
Main Author 贾永飞 郭怀明 秦吉红 陈子瑜 冯世平
Format Journal Article
LanguageEnglish
Published 01.09.2013
Subjects
Bosons
Cold atoms
Fermions
Mapping
Optical lattices
Topology
一维
对角化方法
拓扑性质
混合物
玻色子
费米子
费米系统
铁
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/22/9/090308

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Summary: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.
Bibliography:Jia Yong-Fei, Guo Huai-Ming, Qin Ji-Hong, Chen Zi-Yu, and Feng Shi-Ping（ a ） Department of Physics, Beihang University, Beijing 100191, China b） Department of Physics, University of Science and Technology Beijing, Beijing 100083, China c） Department of Physics, Beijing Normal University, Beijing 100875, China
Bose-Fermi mixture, topological insulators
11-5639/O4
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.
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/9/090308