The DOI matches its Crossref record; 69 of the 69 references it cites were found in a registry or an index.
Symmetry-protected exceptional rings in two-dimensional correlated systems with chiral symmetry
Open accessAbstract
Emergence of exceptional points in two dimensions is one of the remarkable phenomena in non-Hermitian systems. We here elucidate the impacts of symmetry on the non-Hermitian physics. Specifically, we analyze chiral symmetric correlated systems in equilibrium where the non-Hermitian phenomena are induced by the finite lifetime of quasiparticles. Intriguingly, our analysis reveals that the combination of symmetry and non-Hermiticity results in topological degeneracies of energy bands which we call symmetry-protected exceptional rings (SPERs). We observe the emergence of SPERs by analyzing a non-Hermitian Dirac Hamiltonian. Furthermore, by employing the dynamical mean-field theory, we demonstrate the emergence of SPERs in a correlated honeycomb lattice model whose single-particle spectrum is described by a non-Hermitian Dirac Hamiltonian. We uncover that the SPERs survive even beyond the non-Hermitian Dirac Hamiltonian, which is related to a zeroth Chern number. The argument of symmetry protection also holds for three dimensions, elucidating the presence of a symmetry-protected exceptional torus.
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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
Quantum Spin Hall Effect in Graphene
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.226801 · Cited by 8,197
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Bernevig, B. A., Hughes, T. L., & Zhang, S.-C. (2006) · Science · doi:10.1126/science.1133734 · Cited by 7,090
Georges, A., Kotliar, G., Krauth, W., & Rozenberg, M. J. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.13 · Cited by 6,901
Z 2 Topological Order and the Quantum Spin Hall Effect
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146802 · Cited by 6,460
(1998) · doi:10.1103/physrevlett.80.5243 · Cited by 6,280
Quantum Spin Hall Insulator State in HgTe Quantum Wells
König, M., Wiedmann, S., Brüne, C., Roth, A., Buhmann, H., Molenkamp, L. W., Qi, X.-L., & Zhang, S.-C. (2007) · Science · doi:10.1126/science.1148047 · Cited by 6,151
Unpaired Majorana fermions in quantum wires
Kitaev, A. Y. (2001) · Physics-Uspekhi · doi:10.1070/1063-7869/44/10s/s29 · Cited by 4,770
Wan, X., Turner, A. M., Vishwanath, A., & Savrasov, S. Y. (2011) · Physical Review B · doi:10.1103/physrevb.83.205101 · Cited by 4,718
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
Classification of Exceptional Points and Non-Hermitian Topological Semimetals
Kawabata, K., Bessho, T., & Sato, M. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.066405 · Cited by 404
Non-Hermitian Topological Sensors
Budich, J. C., & Bergholtz, E. J. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.180403 · Cited by 394
Non-Hermitian Topological Phenomena: A Review
Okuma, N., & Sato, M. (2023) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-040521-033133 · Cited by 369
Metadata
- Authors
- Yoshida, T., Peters, R., Kawakami, N., & Hatsugai, Y.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2019-03-05
- Volume
- 99
- Issue
- 12
- ISSN
- 2469-9950 (ISSN-L)
- 2469-9969
- OpenAlex
- W2898082956
- Cited by
- 266
- References
- 69
- FWCI
- 20.78
- Type
- journal article
- Language
- en
- Open access
- green
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