Detangling flat bands into Fano lattices

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

Research output: Contribution to journalArticle

76 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 2014
Externally publishedYes

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interference
wave propagation
disorders
continuums
scaling
perturbation
defects
symmetry
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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

Detangling flat bands into Fano lattices. / Flach, Sergej; Leykam, Daniel; Bodyfelt, Joshua D.; Matthies, Peter; Desyatnikov, Anton S.

In: EPL, Vol. 105, No. 3, 30001, 02.2014.

Research output: Contribution to journalArticle

Flach, S, Leykam, D, Bodyfelt, JD, Matthies, P & Desyatnikov, AS 2014, 'Detangling flat bands into Fano lattices', EPL, vol. 105, no. 3, 30001. https://doi.org/10.1209/0295-5075/105/30001
Flach S, Leykam D, Bodyfelt JD, Matthies P, Desyatnikov AS. Detangling flat bands into Fano lattices. EPL. 2014 Feb;105(3). 30001. https://doi.org/10.1209/0295-5075/105/30001
Flach, Sergej ; Leykam, Daniel ; Bodyfelt, Joshua D. ; Matthies, Peter ; Desyatnikov, Anton S. / Detangling flat bands into Fano lattices. In: EPL. 2014 ; Vol. 105, No. 3.
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