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Ajith Ramachandran
복잡계 이론물리 연구단
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Fano Resonances in Flat Band Networks

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Title
Fano Resonances in Flat Band Networks
Author(s)
Ajith Ramachandran; Carlo Danieli; Sergej Flach
Publication Date
2018
Journal
Springer Series in Optical Sciences, v.219, no., pp.311 - 329
Publisher
Springer Verlag
Abstract
Linear wave equations on Hamiltonian lattices with translational invariance are characterized by an eigenvalue band structure in reciprocal space. Flat band lattices have at least one of the bands completely dispersionless. Such bands are coined flat bands. Flat bands occur in fine-tuned networks, and can be protected by (e.g. chiral) symmetries. Recently a number of such systems were realized in structured optical systems, exciton-polariton condensates, and ultracold atomic gases. Flat band networks support compact localized modes. Local defects couple these compact modes to dispersive states and generate Fano resonances in the wave propagation. Disorder (i.e. a finite density of defects) leads to a dense set of Fano defects, and to novel scaling laws in the localization length of disordered dispersive states. Nonlinearities can preserve the compactness of flat band modes, along with renormalizing (tuning) their frequencies. These strictly compact nonlinear excitations induce tunable Fano resonances in the wave propagation of a nonlinear flat band lattice. © Springer Nature Switzerland AG 2018
URI
https://pr.ibs.re.kr/handle/8788114/5467
ISSN
0342-4111
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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