Detangling flat bands into Fano lattices

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

Research output: Contribution to journalArticlepeer-review

101 Citations (Scopus)


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
Issue number3
Publication statusPublished - Feb 2014

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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