Localization of weakly disordered flat band states

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

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


Certain tight binding lattices host macroscopically degenerate flat spectral bands. Their origin is rooted in local symmetries of the lattice, with destructive interference leading to the existence of compact localized eigenstates. We study the robustness of this localization to disorder in different classes of flat band lattices in one and two dimensions. Depending on the flat band class, the flat band states can either be robust, preserving their strong localization for weak disorder W, or they are destroyed and acquire large localization lengths ξ that diverge with a variety of unconventional exponents ν, ξ ~ 1 /Wν.

Original languageEnglish
Article number1
JournalEuropean Physical Journal B
Issue number1
Publication statusPublished - Jan 1 2017


  • Solid State and Materials

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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