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Localization of weakly disordered flat band states

Author

Listed:
  • Daniel Leykam

    (Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University
    Nonlinear Physics Centre, Research School of Physics and Engineering, The Australian National University)

  • Joshua D. Bodyfelt

    (New Zealand Institute for Advanced Study, Centre for Theoretical Chemistry and Physics, Massey University)

  • Anton S. Desyatnikov

    (Nonlinear Physics Centre, Research School of Physics and Engineering, The Australian National University
    Physics Department, School of Science and Technology, Nazarbayev University)

  • Sergej Flach

    (New Zealand Institute for Advanced Study, Centre for Theoretical Chemistry and Physics, Massey University
    Center for Theoretical Physics of Complex Systems, Institute for Basic Science)

Abstract

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 /W ν .

Suggested Citation

  • Daniel Leykam & Joshua D. Bodyfelt & Anton S. Desyatnikov & Sergej Flach, 2017. "Localization of weakly disordered flat band states," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(1), pages 1-12, January.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:1:d:10.1140_epjb_e2016-70551-2
    DOI: 10.1140/epjb/e2016-70551-2
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    Solid State and Materials;

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