Localization of weakly disordered flat band states
Bodyfelt, Joshua D.
Desyatnikov, Anton S.
Date of Issue2017
School of Physical and Mathematical Sciences
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.
The European Physical Journal B
© 2017 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg. This is the author created version of a work that has been peer reviewed and accepted for publication in the European Physical Journal B, published by Springer on behalf of EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1140/epjb/e2016-70551-2].