| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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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 |
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| Cite this article: |
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Xiao-Ran Wang , Cui-Xian Guo , Qian Du et al 2020 Chin. Phys. Lett. 37 117303 |
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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.
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Received: 18 August 2020
Published: 08 November 2020
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| PACS: |
73.90.+f
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(Other topics in electronic structure and electrical properties of surfaces, interfaces, thin films, and low-dimensional structures)
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73.43.Nq
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(Quantum phase transitions)
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73.20.At
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(Surface states, band structure, electron density of states)
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| Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 11674026 and 11974053). |
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