Defective edge states and number-anomalous bulk-boundary correspondence in non-Hermitian topological systems
Defective edge states and number-anomalous bulk-boundary correspondence in non-Hermitian topological systems
复制标题
非厄米拓扑系统中的缺陷边缘态和数反常体边界对应
DOI：
10.1103/physrevb.101.121116
复制
发表时间：
2019-12
影响因子：
3.7
通讯作者：
Kou Su-Peng
中科院分区：
文献类型：
--
作者：
Wang Xiao-Ran;Guo Cui-Xian;Kou Su-Peng
非厄米拓扑系统表现出与厄米拓扑系统非常不同的性质。对于非厄米特拓扑系统来说，一个重要的令人困惑的问题是在通常的体界对应(BBC)之外存在有缺陷的边态。在这种快速通信中，为了理解这些缺陷边缘态的存在，发展了区分非Bloch BBC的数反常体界对应(NA-BBC)理论。以一维非厄米Su-Schrieffer-Heeger模型为例，探讨了缺陷边态的物理基础。有缺陷的边缘态是反常边缘哈密顿量的非厄米合并的结果。此外，借助一个定理，在确定边哈密顿量的正规/非正规非厄米特条件和验证BBC比偏离1时，非厄米特拓扑系统中边态的数目反常成为定量计算中的一个数学问题。在未来，NA-BBC理论可以推广到高维非厄米特拓扑系统(例如二维Chern绝缘体)。
Non-Hermitian topological systems exhibit properties very different from those of their Hermitian counterparts. An important puzzling issue for non-Hermitian topological systems is the existence of defective edge states beyond the usual bulk-boundary correspondence (BBC). In this Rapid Communication, to understand the existence of these defective edge states, the number-anomalous bulk-boundary correspondence (NA-BBC) theory, which distinguishes the non-Bloch BBC, is developed. With the one-dimensional non-Hermitian Su-Schrieffer-Heeger model taken as an example, the underlying physics of the defective edge states is explored. The defective edge states are a consequence of non-Hermitian coalescence from the anomalous edge Hamiltonian. In addition, with the help of a theorem, the number anomaly of the edge states in non-Hermitian topological systems becomes a mathematical problem in quantitative calculations when identifying the normal/non-normal non-Hermitian condition for the edge Hamiltonian and verifying the deviation of the BBC ratio from 1. In the future, NA-BBC theory can be generalized to higher-dimensional non-Hermitian topological systems (for example, the two-dimensional Chern insulator).
登录
查看更多内容
影响因子：
2.9
作者：
Chuanhao Yin;Hui Jiang;Linhu Li;R. Lu;Shu Chen
通讯作者：
Chuanhao Yin;Hui Jiang;Linhu Li;R. Lu;Shu Chen
影响因子：
3.7
作者：
Chun-hui Liu;Hui Jiang;Shu Chen
通讯作者：
Chun-hui Liu;Hui Jiang;Shu Chen
影响因子：
8.6
作者：
Bender, CM;Boettcher, S
通讯作者：
Boettcher, S
宇称时间对称非酉淬灭动力学中涌现动量时间斯格明子的观察
影响因子：
16.6
作者：
Wang Kunkun;Qiu Xingze;Xiao Lei;Zhan Xiang;Bian Zhihao;S;ers Barry C.;Yi Wei;Xue Peng
通讯作者：
Xue Peng
影响因子：
3.7
作者：
K. L. Zhang;H. C. Wu;Liang Jin;Zhi Song
通讯作者：
Zhi Song