Detangling flat bands into Fano lattices

Sergej Flach, Daniel Leykam, Joshua D. Bodyfelt, Peter Matthies, Anton S. Desyatnikov

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89 Citations (Scopus)

Abstract

Macroscopically degenerate flat bands (FB) in periodic lattices host compact localized states which appear due to destructive interference and local symmetry. Interference provides a deep connection between the existence of flat band states (FBS) and the appearance of Fano resonances for wave propagation. We introduce generic transformations detangling FBS and dispersive states into lattices of Fano defects. Inverting the transformation, we generate a continuum of FB models. Our procedure allows us to systematically treat perturbations such as disorder and explain the emergence of energy-dependent localization length scaling in terms of Fano resonances.

Original languageEnglish
Article number30001
JournalEPL
Volume105
Issue number3
DOIs
Publication statusPublished - Feb 1 2014
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Flach, S., Leykam, D., Bodyfelt, J. D., Matthies, P., & Desyatnikov, A. S. (2014). Detangling flat bands into Fano lattices. EPL, 105(3), [30001]. https://doi.org/10.1209/0295-5075/105/30001