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Flat bands in lattices with non-Hermitian coupling

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Title
Flat bands in lattices with non-Hermitian coupling
Author(s)
Daniel Leykam; Sergej Flach; Y. D. Chong
Publication Date
2017-08
Journal
PHYSICAL REVIEW B, v.96, no.6, pp.064305
Publisher
AMER PHYSICAL SOC
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 π 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. © 2017 American Physical Society
URI
https://pr.ibs.re.kr/handle/8788114/3650
DOI
10.1103/PhysRevB.96.064305
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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