State-Dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in Non-Hermitian Topological Systems with Generalized Inversion Symmetry
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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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Xiao-Ran Wang , Cui-Xian Guo , Qian Du , Su-Peng Kou. State-Dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in Non-Hermitian Topological Systems with Generalized Inversion Symmetry[J]. Chin. Phys. Lett., 2020, 37(11): 117303. DOI: 10.1088/0256-307X/37/11/117303
Xiao-Ran Wang , Cui-Xian Guo , Qian Du , Su-Peng Kou. State-Dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in Non-Hermitian Topological Systems with Generalized Inversion Symmetry[J]. Chin. Phys. Lett., 2020, 37(11): 117303. DOI: 10.1088/0256-307X/37/11/117303
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Xiao-Ran Wang , Cui-Xian Guo , Qian Du , Su-Peng Kou. State-Dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in Non-Hermitian Topological Systems with Generalized Inversion Symmetry[J]. Chin. Phys. Lett., 2020, 37(11): 117303. DOI: 10.1088/0256-307X/37/11/117303
Xiao-Ran Wang , Cui-Xian Guo , Qian Du , Su-Peng Kou. State-Dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in Non-Hermitian Topological Systems with Generalized Inversion Symmetry[J]. Chin. Phys. Lett., 2020, 37(11): 117303. DOI: 10.1088/0256-307X/37/11/117303
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