The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Non-Bloch Band Theory of Non-Hermitian Systems
Open accessAbstract
In spatially periodic Hermitian systems, such as electronic systems in crystals, the band structure is described by the band theory in terms of the Bloch wave functions, which reproduce energy levels for large systems with open boundaries. In this paper, we establish a generalized Bloch band theory in one-dimensional spatially periodic tight-binding models. We show how to define the Brillouin zone in non-Hermitian systems. From this Brillouin zone, one can calculate continuum bands, which reproduce the band structure in an open chain. As an example, we apply our theory to the non-Hermitian Su-Schrieffer-Heeger model. We also show the bulk-edge correspondence between the winding number and existence of the topological edge states.
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Cites
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
Observation of a Topological Transition in the Bulk of a Non-Hermitian System
Zeuner, J. M., Rechtsman, M. C., Plotnik, Y., Lumer, Y., Nolte, S., Rudner, M. S., Segev, M., & Szameit, A. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.040402 · Cited by 730
Observation of topological edge states in parity–time-symmetric quantum walks
Xiao, L., Zhan, X., Bian, Z. H., Wang, K. K., Zhang, X., Wang, X. P., Li, J., Mochizuki, K., Kim, D., Kawakami, N., et al. (2017) · Nature Physics · doi:10.1038/nphys4204 · Cited by 576
Biorthogonal quantum mechanics
Brody, D. C. (2014) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/47/3/035305 · Cited by 573
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 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
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
Observation of higher-order non-Hermitian skin effect
Zhang, X., Tian, Y., Jiang, J.-H., Lu, M.-H., & Chen, Y.-F. (2021) · Nature Communications · doi:10.1038/s41467-021-25716-y · Cited by 334
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
Metadata
- Authors
- Yokomizo, K., & Murakami, S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2019-08-07
- Volume
- 123
- Issue
- 6
- Pages
- 066404-066404
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2967690853
- Cited by
- 1,061
- References
- 4
- FWCI
- 41.89
- Type
- journal article
- Language
- en
- Open access
- green
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