State-Dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in Non-Hermitian Topological Systems with Generalized Inversion Symmetry
Xiao-Ran Wang , Cui-Xian Guo , Qian Du , and Su-Peng Kou*
Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China
Abstract ：Breakdown of bulk-boundary correspondence in non-Hermitian (NH) topological systems with generalized inversion symmetries is a controversial issue. The non-Bloch topological invariants determine the existence of edge states, but fail to describe the number and distribution of defective edge states in non-Hermitian topological systems. The state-dependent topological invariants, instead of a global topological invariant, are developed to accurately characterize the bulk-boundary correspondence of the NH systems, which is very different from their Hermitian counterparts. At the same time, we obtain the accurate phase diagram of the one-dimensional non-Hermitian Su–Schrieffer–Heeger model with a generalized inversion symmetry from the state-dependent topological invariants. Therefore, these results will be helpful for understanding the exotic topological properties of various non-Hermitian systems.
收稿日期: 2020-08-18
出版日期: 2020-11-08
:
73.90.+f
(Other topics in electronic structure and electrical properties of surfaces, interfaces, thin films, and low-dimensional structures)
73.43.Nq
(Quantum phase transitions)
73.20.At
(Surface states, band structure, electron density of states)
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2020, Vol. 37 
