The DOI matches its Crossref record; 48 of the 48 references it cites were found in a registry or an index.
Flat bands in lattices with non-Hermitian coupling
Abstract
We study non-Hermitian photonic lattices that exhibit competition between conservative and non-Hermitian (gain/loss) couplings. A bipartite sublattice symmetry enforces the existence of non-Hermitian flat bands, which are typically embedded in an auxiliary dispersive band and give rise to nondiffracting ``compact localized states''. Band crossings take the form of non-Hermitian degeneracies known as exceptional points. Excitations of the lattice can produce either diffracting or amplifying behaviors. If the non-Hermitian coupling is fine-tuned to generate an effective $\ensuremath{\pi}$ flux, the lattice spectrum becomes completely flat, a non-Hermitian analog of Aharonov-Bohm caging in which the magnetic field is replaced by balanced gain and loss. When the effective flux is zero, the non-Hermitian band crossing points give rise to asymmetric diffraction and anomalous linear amplification.
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“The interplay of non-Hermiticity and flat bands has been shown to result in a photonic analog of Aharonov-Bohm caging (Leykam, Flach, and Chong, 2017).”
From Topological photonics (2019) · cites this paper as Leykam, Flach, and Chong, 2017
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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
Topological states of non-Hermitian systems
Martinez Alvarez, V. M., Barrios Vargas, J. E., Berdakin, M., & Foa Torres, L. E. F. (2018) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2018-800091-5 · Cited by 282
Metadata
- Authors
- Leykam, D., Flach, S., & Chong, Y. D.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2017-08-22
- Volume
- 96
- Issue
- 6
- ISSN
- 2469-9950
- 2469-9969
- Cited by
- 88
- References
- 48
- Language
- en
- Funders
- National Research Foundation Singapore (NRFF2012-02)
- Ministry of Education - Singapore (MOE2015-T2-2-008)
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