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

Author

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  • Yucheng Wang

    (Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences
    School of Physical Sciences, University of 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
    School of Physical Sciences, University of Chinese Academy of Sciences
    Collaborative Innovation Center of Quantum Matter)

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.

Suggested Citation

  • Yucheng Wang & Gao Xianlong & Shu Chen, 2017. "Almost mobility edges and the existence of critical regions in one-dimensional quasiperiodic lattices," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(11), pages 1-8, November.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:11:d:10.1140_epjb_e2017-80232-3
    DOI: 10.1140/epjb/e2017-80232-3
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    Solid State and Materials;

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