Localization of weakly disordered flat band states

Daniel Leykam (), Joshua D. Bodyfelt, Anton S. Desyatnikov and Sergej Flach
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Daniel Leykam: Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological 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
Sergej Flach: New Zealand Institute for Advanced Study, Centre for Theoretical Chemistry and Physics, Massey University

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 1, 1-12

Abstract: 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 .

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2016-70551-2

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