Journal
EUROPEAN PHYSICAL JOURNAL B
Volume 90, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1140/epjb/e2016-70551-2
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Funding
- Australian Research Council
- Singapore National Research Foundation [NRFF2012-02]
- Institute for Basic Science [IBS-R024-D1]
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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 xi that diverge with a variety of unconventional exponents v, xi similar to 1/W-v.
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