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• W2117638296 abstract "We study the critical behavior of Anderson localized modes near intersecting flat and dispersive bands in the quasi-one-dimensional diamond ladder with weak diagonal disorder $W$. The localization length $ensuremath{xi}$ of the flat band states scales with disorder as $ensuremath{xi}ensuremath{sim}{W}^{ensuremath{-}ensuremath{gamma}}$, with $ensuremath{gamma}ensuremath{approx}1.3$, in contrast to the dispersive bands with $ensuremath{gamma}=2$. A small fraction of dispersive modes mixed with the flat band states is responsible for the unusual scaling. Anderson localization is therefore controlled by two different length scales. Nonlinearity can produce qualitatively different wave spreading regimes, from enhanced expansion to resonant tunneling and self-trapping." @default.
• W2117638296 created "2016-06-24" @default.
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• W2117638296 date "2013-12-19" @default.
• W2117638296 modified "2023-09-23" @default.
• W2117638296 title "Flat band states: Disorder and nonlinearity" @default.
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• W2117638296 doi "https://doi.org/10.1103/physrevb.88.224203" @default.
• W2117638296 hasPublicationYear "2013" @default.
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