中国物理B ›› 2013, Vol. 22 ›› Issue (9): 90308-090308.doi: 10.1088/1674-1056/22/9/090308

• GENERAL • 上一篇    下一篇

Topological properties of one-dimensional hardcore Bose-Fermi mixture

贾永飞a, 郭怀明a, 秦吉红b, 陈子瑜a, 冯世平c   

  1. 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
  • 收稿日期:2013-04-07 修回日期:2013-05-02 出版日期:2013-07-26 发布日期:2013-07-26
  • 基金资助:
    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.

Topological properties of one-dimensional hardcore Bose-Fermi mixture

Jia Yong-Fei (贾永飞)a, Guo Huai-Ming (郭怀明)a, Qin Ji-Hong (秦吉红)b, Chen Zi-Yu (陈子瑜)a, Feng Shi-Ping (冯世平)c   

  1. 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
  • Received:2013-04-07 Revised:2013-05-02 Online:2013-07-26 Published:2013-07-26
  • Contact: Guo Huai-Ming E-mail:hmguo@buaa.edu.cn
  • Supported by:
    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.

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.

关键词: Bose-Fermi mixture, topological insulators

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.

Key words: Bose-Fermi mixture, topological insulators

中图分类号:  (Phases: geometric; dynamic or topological)

  • 03.65.Vf
71.27.+a (Strongly correlated electron systems; heavy fermions)