The DOI matches its Crossref record; 105 of the 105 references it cites were found in a registry or an index.
Higher-Order Topological Corner States Induced by Gain and Loss
Open accessAbstract
Higher-order topological insulators and superconductors are topological phases that exhibit novel boundary states on corners or hinges. Recent experimental advances in controlling dissipation such as gain and loss in atomic and optical systems provide a powerful tool for exploring non-Hermitian topological phases. Here we show that higher-order topological corner states can emerge by introducing staggered on-site gain and loss to a Hermitian system in a trivial phase. For such a non-Hermitian system, we establish a general bulk-corner correspondence by developing a biorthogonal nested-Wilson-loop and edge-polarization theory, which can be applied to a wide class of non-Hermitian systems with higher-order topological orders. The theory gives rise to topological invariants characterizing the non-Hermitian topological multipole moments (i.e., corner states) that are protected by reflection or chiral symmetry. Such gain- and loss-induced higher-order topological corner states can be experimentally realized using photons in coupled cavities or cold atoms in optical lattices.
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Cites
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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
Non-Hermitian and topological photonics: optics at an exceptional point
Parto, M., Liu, Y. G. N., Bahari, B., Khajavikhan, M., & Christodoulides, D. N. (2020) · Nanophotonics · doi:10.1515/nanoph-2020-0434 · Cited by 282
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
- Luo, X.-W., & Zhang, C.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2019-08-13
- Volume
- 123
- Issue
- 7
- Pages
- 073601-073601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2921259284
- Cited by
- 283
- References
- 105
- FWCI
- 15.89
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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