The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Edge states and topological phases in non-Hermitian systems
Open accessAbstract
Topological stability of the edge states is investigated for non-Hermitian systems. We examine two classes of non-Hermitian Hamiltonians supporting real bulk eigenenergies in weak non-Hermiticity: SU$(1,1)$ and SO$(3,2)$ Hamiltonians. As an SU$(1,1)$ Hamiltonian, the tight-binding model on the honeycomb lattice with imaginary onsite potentials is examined. Edge states with Re$E=0$ and their topological stability are discussed by the winding number and the index theorem based on the pseudo-anti-Hermiticity of the system. As a higher-symmetric generalization of SU$(1,1)$ Hamiltonians, we also consider SO$(3,2)$ models. We investigate non-Hermitian generalization of the Luttinger Hamiltonian on the square lattice and that of the Kane-Mele model on the honeycomb lattice, respectively. Using the generalized Kramers theorem for the time-reversal operator $\ensuremath{\Theta}$ with ${\ensuremath{\Theta}}^{2}=+1$ [M. Sato et al., e-print arXiv:1106.1806], we introduce a time-reversal-invariant Chern number from which topological stability of gapless edge modes is argued.
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Cites
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
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Self-citationZ 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
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
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
Quantum Theory of Cyclotron Resonance in Semiconductors: General Theory
Luttinger, J. M. (1956) · Physical Review · doi:10.1103/physrev.102.1030 · Cited by 2,199
Helical Liquid and the Edge of Quantum Spin Hall Systems
Wu, C., Bernevig, B. A., & Zhang, S.-C. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.106401 · Cited by 759
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
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
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
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
Self-citationTopological 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
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Metadata
- Authors
- Esaki, K., Sato, M., Hasebe, K., & Kohmoto, M.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2011-11-17
- Volume
- 84
- Issue
- 20
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2006869939
- Cited by
- 492
- References
- 7
- FWCI
- 1.04
- Type
- journal article
- Language
- en
- Open access
- green
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