Generalized Bloch band theory for non-Hermitian bulk-boundary correspondence

被引:18
|
作者
Imura, Ken-Ichiro [1 ]
Takane, Yositake [1 ]
机构
[1] Hiroshima Univ, Grad Sch Adv Sci & Engn, Higashihiroshima 7398530, Japan
来源
基金
日本学术振兴会;
关键词
PARITY-TIME SYMMETRY; QUANTUM; STATES;
D O I
10.1093/ptep/ptaa100
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Bulk-boundary correspondence is the cornerstone of topological physics. In some non-Hermitian topological systems this fundamental relation is broken in the sense that the topological number calculated for the Bloch energy band under the periodic boundary condition fails to reproduce the boundary properties under the open boundary. To restore the bulk-boundary correspondence in such non-Hermitian systems a framework beyond the Bloch band theory is needed. We develop a non-Hermitian Bloch band theory based on a modified periodic boundary condition that allows a proper description of the bulk of a non-Hermitian topological insulator in a manner consistent with its boundary properties. Taking a non-Hermitian version of the Su-Schrieffer-Heeger model as an example, we demonstrate our scenario, in which the concept of bulk-boundary correspondence is naturally generalized to non-Hermitian topological systems.
引用
收藏
页数:16
相关论文
共 50 条
  • [1] Non-Hermitian Bulk-Boundary Correspondence and Auxiliary Generalized Brillouin Zone Theory
    Yang, Zhesen
    Zhang, Kai
    Fang, Chen
    Hu, Jiangping
    [J]. Physical Review Letters, 2020, 125 (22):
  • [2] Non-Hermitian Bulk-Boundary Correspondence and Auxiliary Generalized Brillouin Zone Theory
    Yang, Zhesen
    Zhang, Kai
    Fang, Chen
    Hu, Jiangping
    [J]. PHYSICAL REVIEW LETTERS, 2020, 125 (22)
  • [3] Generalized bulk-boundary correspondence in non-Hermitian topolectrical circuits
    Helbig, T.
    Hofmann, T.
    Imhof, S.
    Abdelghany, M.
    Kiessling, T.
    Molenkamp, L. W.
    Lee, C. H.
    Szameit, A.
    Greiter, M.
    Thomale, R.
    [J]. NATURE PHYSICS, 2020, 16 (07) : 747 - +
  • [4] Non-Hermitian Weyl semimetals: Non-Hermitian skin effect and non-Bloch bulk-boundary correspondence
    Yang, Xiaosen
    Cao, Yang
    Zhai, Yunjia
    [J]. CHINESE PHYSICS B, 2022, 31 (01)
  • [5] Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
    Ji, Xiang
    Yang, Xiaosen
    [J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 2024, 36 (24)
  • [6] Photonic non-Hermitian skin effect and non-Bloch bulk-boundary correspondence
    Zhu, Xueyi
    Wang, Huaiqiang
    Gupta, Samit Kumar
    Zhang, Haijun
    Xie, Biye
    Lu, Minghui
    Chen, Yanfeng
    [J]. PHYSICAL REVIEW RESEARCH, 2020, 2 (01):
  • [7] Non-Hermitian bulk-boundary correspondence in quantum dynamics
    Xiao, Lei
    Deng, Tianshu
    Wang, Kunkun
    Zhu, Gaoyan
    Wang, Zhong
    Yi, Wei
    Xue, Peng
    [J]. NATURE PHYSICS, 2020, 16 (07) : 761 - +
  • [8] Bulk-Boundary Correspondence in a Non-Hermitian Chern Insulator
    Takane, Yositake
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2021, 90 (03)
  • [9] Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
    Kunst, Flore K.
    Edvardsson, Elisabet
    Budich, Jan Carl
    Bergholtz, Emil J.
    [J]. PHYSICAL REVIEW LETTERS, 2018, 121 (02)
  • [10] Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions
    Rebekka Koch
    Jan Carl Budich
    [J]. The European Physical Journal D, 2020, 74