The DOI matches its Crossref record; 54 of the 54 references it cites were found in a registry or an index.
Non-Hermitian Bulk-Boundary Correspondence and Auxiliary Generalized Brillouin Zone Theory
Open accessAbstract
We provide a systematic and self-consistent method to calculate the generalized Brillouin zone (GBZ) analytically in one-dimensional non-Hermitian systems, which helps us to understand the non-Hermitian bulk-boundary correspondence. In general, a n-band non-Hermitian Hamiltonian is constituted by n distinct sub-GBZs, each of which is a piecewise analytic closed loop. Based on the concept of resultant, we can show that all the analytic properties of the GBZ can be characterized by an algebraic equation, the solution of which in the complex plane is dubbed as auxiliary GBZ (aGBZ). We also provide a systematic method to obtain the GBZ from aGBZ. Two physical applications are also discussed. Our method provides an analytic approach to the spectral problem of open boundary non-Hermitian systems in the thermodynamic limit.
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Cites
Colloquium : Topological insulators
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Topological Insulators and Topological Superconductors
Bernevig, B. A. (2013) · doi:10.1515/9781400846733 · Cited by 1,947
Localization Transitions in Non-Hermitian Quantum Mechanics
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Gong, Z., Ashida, Y., Kawabata, K., Takasan, K., Higashikawa, S., & Ueda, M. (2018) · Physical Review X · doi:10.1103/physrevx.8.031079 · Cited by 1,462
Symmetry and Topology in Non-Hermitian Physics
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Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
Kunst, F. K., Edvardsson, E., Budich, J. C., & Bergholtz, E. J. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.026808 · Cited by 1,341
Topological Origin of Non-Hermitian Skin Effects
Okuma, N., Kawabata, K., Shiozaki, K., & Sato, M. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.086801 · Cited by 1,236
Topological Band Theory for Non-Hermitian Hamiltonians
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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
Universal non-Hermitian skin effect in two and higher dimensions
Zhang, K., Yang, Z., & Fang, C. (2022) · Nature Communications · doi:10.1038/s41467-022-30161-6 · Cited by 417
Self-citationObservation 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
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
Non-Hermitian second-order skin and topological modes
Fu, Y., Hu, J., & Wan, S. (2021) · Physical Review B · doi:10.1103/physrevb.103.045420 · Cited by 111
Self-citation
Metadata
- Authors
- Yang, Z., Zhang, K., Fang, C., & Hu, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2020-11-24
- Volume
- 125
- Issue
- 22
- Pages
- 226402-226402
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W3094709239
- Cited by
- 522
- References
- 54
- FWCI
- 24.24
- Type
- journal article
- Language
- en
- Open access
- green
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