中国物理B ›› 2016, Vol. 25 ›› Issue (11): 117310-117310.doi: 10.1088/1674-1056/25/11/117310

所属专题： TOPICAL REVIEW — Topological electronic states

• TOPICAL REVIEW—Topological electronic states • 上一篇    下一篇

Topological hierarchy matters–topological matters with superlattices of defects

Jing He(何敬), Su-Peng Kou(寇谡鹏)   

  1. 1 Department of Physics, Hebei Normal University, Shijiazhuang 050024, China;
    2 Department of Physics, Beijing Normal University, Beijing 100875, China
  • 收稿日期:2016-02-22 修回日期:2016-04-07 出版日期:2016-11-05 发布日期:2016-11-05
  • 通讯作者: Su-Peng Kou E-mail:spkou@bnu.edu.cn
  • 基金资助:

    Project supported by the National Basic Research Program of China (Grant Nos. 2011CB921803 and 2012CB921704), the National Natural Science Foundation of China (Grant Nos. 11174035, 11474025, 11404090, and 11674026), the Natural Science Foundation of Hebei Province, China (Grant No. A2015205189), the Hebei Education Department Natural Science Foundation, China (Grant No. QN2014022), and the Specialized Research Fund for the Doctoral Program of Higher Education, China.

Topological hierarchy matters–topological matters with superlattices of defects

Jing He(何敬)1, Su-Peng Kou(寇谡鹏)2   

  1. 1 Department of Physics, Hebei Normal University, Shijiazhuang 050024, China;
    2 Department of Physics, Beijing Normal University, Beijing 100875, China
  • Received:2016-02-22 Revised:2016-04-07 Online:2016-11-05 Published:2016-11-05
  • Contact: Su-Peng Kou E-mail:spkou@bnu.edu.cn
  • Supported by:

    Project supported by the National Basic Research Program of China (Grant Nos. 2011CB921803 and 2012CB921704), the National Natural Science Foundation of China (Grant Nos. 11174035, 11474025, 11404090, and 11674026), the Natural Science Foundation of Hebei Province, China (Grant No. A2015205189), the Hebei Education Department Natural Science Foundation, China (Grant No. QN2014022), and the Specialized Research Fund for the Doctoral Program of Higher Education, China.

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摘要：

Topological insulators/superconductors are new states of quantum matter with metallic edge/surface states. In this paper, we review the defects effect in these topological states and study new types of topological matters–topological hierarchy matters. We find that both topological defects (quantized vortices) and non topological defects (vacancies) can induce topological mid-gap states in the topological hierarchy matters after considering the superlattice of defects. These topological mid-gap states have nontrivial topological properties, including the nonzero Chern number and the gapless edge states. Effective tight-binding models are obtained to describe the topological mid-gap states in the topological hierarchy matters.

关键词: defects, topological mid-gap state, topological insulator, topological superconductor

Abstract:

Topological insulators/superconductors are new states of quantum matter with metallic edge/surface states. In this paper, we review the defects effect in these topological states and study new types of topological matters–topological hierarchy matters. We find that both topological defects (quantized vortices) and non topological defects (vacancies) can induce topological mid-gap states in the topological hierarchy matters after considering the superlattice of defects. These topological mid-gap states have nontrivial topological properties, including the nonzero Chern number and the gapless edge states. Effective tight-binding models are obtained to describe the topological mid-gap states in the topological hierarchy matters.

Key words: defects, topological mid-gap state, topological insulator, topological superconductor

中图分类号:  (Superlattices)

  • 73.21.Cd
73.43.Cd (Theory and modeling) 71.10.Fd (Lattice fermion models (Hubbard model, etc.))