The DOI matches its Crossref record; 102 of the 102 references it cites were found in a registry or an index.
Non-Hermitian Topological Invariants in Real Space
Open accessAbstract
The topology of non-Hermitian systems is drastically shaped by the non-Hermitian skin effect, which leads to the generalized bulk-boundary correspondence and non-Bloch band theory. The essential part in formulations of bulk-boundary correspondence is a general and computable definition of topological invariants. In this Letter, we introduce a construction of non-Hermitian topological invariants based directly on real-space wave functions, which provides a general and straightforward approach for determining non-Hermitian topology. As an illustration, we apply this formulation to several representative models of non-Hermitian systems, efficiently obtaining their topological invariants in the presence of non-Hermitian skin effect. Our formulation also provides a dual picture of the non-Bloch band theory based on the generalized Brillouin zone, offering a unique perspective of bulk-boundary correspondence.
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Anyons in an exactly solved model and beyond
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Non-Hermitian physics and PT symmetry
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Edge States and Topological Invariants of Non-Hermitian Systems
Yao, S., & Wang, Z. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.086803 · Cited by 2,204
Self-citationQuantum computation and quantum-state engineering driven by dissipation
Verstraete, F., Wolf, M. M., & Ignacio Cirac, J. (2009) · Nature Physics · doi:10.1038/nphys1342 · Cited by 1,570
Localization Transitions in Non-Hermitian Quantum Mechanics
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Non-Hermitian photonics based on parity–time symmetry
Feng, L., El-Ganainy, R., & Ge, L. (2017) · Nature Photonics · doi:10.1038/s41566-017-0031-1 · Cited by 1,497
Topological Phases of Non-Hermitian Systems
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Symmetry and Topology in Non-Hermitian Physics
Kawabata, K., Shiozaki, K., Ueda, M., & Sato, M. (2019) · Physical Review X · doi:10.1103/physrevx.9.041015 · Cited by 1,357
Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
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Cited by
Exceptional topology of non-Hermitian systems
Bergholtz, E. J., Budich, J. C., & Kunst, F. K. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.015005 · Cited by 1,711
Observation of higher-order non-Hermitian skin effect
Zhang, X., Tian, Y., Jiang, J.-H., Lu, M.-H., & Chen, Y.-F. (2021) · Nature Communications · doi:10.1038/s41467-021-25716-y · Cited by 334
Higher-order non-Hermitian skin effect
Kawabata, K., Sato, M., & Shiozaki, K. (2020) · Physical Review B · doi:10.1103/physrevb.102.205118 · Cited by 322
Second-order topological non-Hermitian skin effects
Okugawa, R., Takahashi, R., & Yokomizo, K. (2020) · Physical Review B · doi:10.1103/physrevb.102.241202 · Cited by 177
Synthetic Non-Abelian Gauge Fields for Non-Hermitian Systems
Pang, Z., Wong, B. T. T., Hu, J., & Yang, Y. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.043804 · Cited by 41
Metadata
- Authors
- Song, F., Yao, S., & Wang, Z.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2019-12-09
- Volume
- 123
- Issue
- 24
- Pages
- 246801-246801
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2944410353
- Cited by
- 482
- References
- 102
- FWCI
- 22.56
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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