The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Topological Band Theory for Non-Hermitian Hamiltonians
Open accessAbstract
We develop the topological band theory for systems described by non-Hermitian Hamiltonians, whose energy spectra are generally complex. After generalizing the notion of gapped band structures to the non-Hermitian case, we classify "gapped" bands in one and two dimensions by explicitly finding their topological invariants. We find nontrivial generalizations of the Chern number in two dimensions, and a new classification in one dimension, whose topology is determined by the energy dispersion rather than the energy eigenstates. We then study the bulk-edge correspondence and the topological phase transition in two dimensions. Different from the Hermitian case, the transition generically involves an extended intermediate phase with complex-energy band degeneracies at isolated "exceptional points" in momentum space. We also systematically classify all types of band degeneracies.
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Cites
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Self-citationWeyl 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
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Fu, L., & Kane, C. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045302 · Cited by 4,252
Self-citationColloquium : Topological band theory
Bansil, A., Lin, H., & Das, T. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.021004 · Cited by 1,587
Non-Hermitian Quantum Mechanics
Moiseyev, N. (2011) · doi:10.1017/cbo9780511976186 · Cited by 1,490
Spawning rings of exceptional points out of Dirac cones
Zhen, B., Hsu, C. W., Igarashi, Y., Lu, L., Kaminer, I., Pick, A., Chua, S.-L., Joannopoulos, J. D., & Soljačić, M. (2015) · Nature · doi:10.1038/nature14889 · Cited by 861
Self-citationSymmetry-protected topological photonic crystal in three dimensions
Lu, L., Fang, C., Fu, L., Johnson, S. G., Joannopoulos, J. D., & Soljačić, M. (2016) · Nature Physics · doi:10.1038/nphys3611 · Cited by 329
Self-citationWeyl and Dirac Semimetals in Three Dimensional Solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv
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
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 bulk–boundary correspondence in quantum dynamics
Xiao, L., Deng, T., Wang, K., Zhu, G., Wang, Z., Yi, W., & Xue, P. (2020) · Nature Physics · doi:10.1038/s41567-020-0836-6 · Cited by 855
Observation of bulk Fermi arc and polarization half charge from paired exceptional points
Zhou, H., Peng, C., Yoon, Y., Hsu, C. W., Nelson, K. A., Fu, L., Joannopoulos, J. D., Soljačić, M., & Zhen, B. (2018) · Science · doi:10.1126/science.aap9859 · Cited by 650
Self-citationNon-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
Metadata
- Authors
- Shen, H., Zhen, B., & Fu, L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2018-04-06
- Volume
- 120
- Issue
- 14
- Pages
- 146402-146402
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2656144764
- Cited by
- 1,182
- References
- 10
- FWCI
- 56.55
- Type
- journal article
- Language
- en
- Open access
- bronze
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