The DOI matches its Crossref record; 46 of the 46 references it cites were found in a registry or an index.
Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
Open accessAbstract
We analyze chiral topological edge modes in a non-Hermitian variant of the 2D Dirac equation. Such modes appear at interfaces between media with different "masses" and/or signs of the "non-Hermitian charge." The existence of these edge modes is intimately related to exceptional points of the bulk Hamiltonians, i.e., degeneracies in the bulk spectra of the media. We find that the topological edge modes can be divided into three families ("Hermitian-like," "non-Hermitian," and "mixed"); these are characterized by two winding numbers, describing two distinct kinds of half-integer charges carried by the exceptional points. We show that all the above types of topological edge modes can be realized in honeycomb lattices of ring resonators with asymmetric or gain-loss couplings.
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Cites
Colloquium : Topological insulators
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Making sense of non-Hermitian Hamiltonians
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Unpaired majorana fermions in quantum wiresPreprint
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Cited by
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Parity–time symmetry and exceptional points in photonics
Özdemir, Ş. K., Rotter, S., Nori, F., & Yang, L. (2019) · Nature Materials · doi:10.1038/s41563-019-0304-9 · Cited by 1,773
Self-citationExceptional 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
Yao, S., Song, F., & Wang, Z. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.136802 · Cited by 933
Non-Hermitian Boundary Modes and Topology
Borgnia, D. S., Kruchkov, A. J., & Slager, R.-J. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.056802 · Cited by 869
Metadata
- Authors
- Leykam, D., Bliokh, K. Y., Huang, C., Chong, Y. D., & Nori, F.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2017-01-23
- Volume
- 118
- Issue
- 4
- Pages
- 040401-040401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2538420542
- Cited by
- 772
- References
- 46
- FWCI
- 41.54
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Leykam, D., Bliokh, K. Y., Huang, C., Chong, Y. D., & Nori, F. (2017). Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems. Physical Review Letters. https://doi.org/10.1103/physrevlett.118.040401
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