Almost mobility edges and the existence of critical regions in one-dimensional quasiperiodic lattices

Yucheng Wang, Gao Xianlong and Shu Chen ()
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Yucheng Wang: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences
Gao Xianlong: Zhejiang Normal University
Shu Chen: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 11, 1-8

Abstract: Abstract We study a one-dimensional quasiperiodic system described by the Aubry–André model in the small wave vector limit and demonstrate the existence of almost mobility edges and critical regions in the system. It is well known that the eigenstates of the Aubry–André model are either extended or localized depending on the strength of incommensurate potential V being less or bigger than a critical value V c , and thus no mobility edge exists. However, it was shown in a recent work that for the system with V V c , for which all eigenstates are localized states, but can be divided into extended, critical and localized states in their dual space by utilizing the self-duality property of the Aubry–André model.

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1140/epjb/e2017-80232-3

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