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Fano Resonances in Flat Band Networks

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Fano Resonances in Optics and Microwaves

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 219))

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.

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Acknowledgements

This work was supported by the Institute for Basic Science, Project Code (IBS-R024-D1).

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Authors and Affiliations

  1. Center for Theoretical Physics of Complex Systems, Institute for Basic Science, Daejeon, South Korea

    Ajith Ramachandran, Carlo Danieli & Sergej Flach

Authors
  1. Ajith Ramachandran
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  2. Carlo Danieli
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  3. Sergej Flach
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Correspondence to Ajith Ramachandran .

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Editors and Affiliations

  1. Department of Electrical and Computer Engineering, Ben-Gurion University of the Negev, Beersheba, Israel

    Eugene Kamenetskii

  2. Federal Research Center KSC SB RAS, Kirensky Institute of Physics, Krasnoyarsk, Russia

    Almas Sadreev

  3. School of Engineering and Information Technology, University of New South Wales, Canberra, ACT, Australia

    Andrey Miroshnichenko

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Ramachandran, A., Danieli, C., Flach, S. (2018). Fano Resonances in Flat Band Networks. In: Kamenetskii, E., Sadreev, A., Miroshnichenko, A. (eds) Fano Resonances in Optics and Microwaves. Springer Series in Optical Sciences, vol 219. Springer, Cham. https://doi.org/10.1007/978-3-319-99731-5_13

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