The DOI matches its Crossref record; 129 of the 129 references it cites were found in a registry or an index.
Classification of Exceptional Points and Non-Hermitian Topological Semimetals
Open accessAbstract
Exceptional points are universal level degeneracies induced by non-Hermiticity. Whereas past decades witnessed their new physics, the unified understanding has yet to be obtained. Here we present the complete classification of generic topologically stable exceptional points according to two types of complex-energy gaps and fundamental symmetries of charge conjugation, parity, and time reversal. This classification reveals unique non-Hermitian gapless structures with no Hermitian analogs and systematically predicts unknown non-Hermitian semimetals and nodal superconductors; a topological dumbbell of exceptional points in three dimensions is constructed as an illustration. Our work paves the way toward richer phenomena and functionalities of exceptional points and non-Hermitian topological semimetals.
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Cites
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Perturbation theory for linear operators
Kato, T. (1966) · Springer eBooks · doi:10.1007/978-3-662-12678-3 · Cited by 7,131
(1998) · doi:10.1103/physrevlett.80.5243 · Cited by 6,280
Wan, X., Turner, A. M., Vishwanath, A., & Savrasov, S. Y. (2011) · Physical Review B · doi:10.1103/physrevb.83.205101 · Cited by 4,718
Weyl and Dirac semimetals in three-dimensional solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015001 · Cited by 4,528
Classification of topological insulators and superconductors in three spatial dimensions
Schnyder, A. P., Ryu, S., Furusaki, A., & Ludwig, A. W. W. (2008) · Physical Review B · doi:10.1103/physrevb.78.195125 · Cited by 3,322
Making sense of non-Hermitian Hamiltonians
Bender, C. M. (2007) · Reports on Progress in Physics · doi:10.1088/0034-4885/70/6/r03 · Cited by 2,984
Classification of topological quantum matter with symmetries
Chiu, C.-K., Teo, J. C. Y., Schnyder, A. P., & Ryu, S. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.035005 · Cited by 2,736
Non-Hermitian physics and PT symmetry
El-Ganainy, R., Makris, K. G., Khajavikhan, M., Musslimani, Z. H., Rotter, S., & Christodoulides, D. N. (2018) · Nature Physics · doi:10.1038/nphys4323 · Cited by 2,721
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
Non-Hermitian Topological Invariants in Real Space
Song, F., Yao, S., & Wang, Z. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.246801 · Cited by 482
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
Self-citationA second wave of topological phenomena in photonics and acoustics
Zhang, X., Zangeneh-Nejad, F., Chen, Z.-G., Lu, M.-H., & Christensen, J. (2023) · Nature · doi:10.1038/s41586-023-06163-9 · Cited by 240
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
Metadata
- Authors
- Kawabata, K., Bessho, T., & Sato, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2019-08-09
- Volume
- 123
- Issue
- 6
- Pages
- 066405-066405
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2966925370
- Cited by
- 404
- References
- 129
- FWCI
- 19.67
- Type
- journal article
- Language
- en
- Open access
- green
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