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Delocalization of two interacting particles in the 2D Harper model

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  • Klaus M. Frahm
  • Dima L. Shepelyansky

Abstract

We study the problem of two interacting particles in a two-dimensional quasiperiodic potential of the Harper model. We consider an amplitude of the quasiperiodic potential such that in absence of interactions all eigenstates are exponentially localized while the two interacting particles are delocalized showing anomalous subdiffusive spreading over the lattice with the spreading exponent b ≈ 0.5 instead of a usual diffusion with b=1. This spreading is stronger than in the case of a correlated disorder potential with a one particle localization length as for the quasiperiodic potential. At the same time we do not find signatures of ballistic pairs existing for two interacting particles in the localized phase of the one-dimensional Harper model. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2016

Suggested Citation

  • Klaus M. Frahm & Dima L. Shepelyansky, 2016. "Delocalization of two interacting particles in the 2D Harper model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(1), pages 1-10, January.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:1:p:1-10:10.1140/epjb/e2015-60787-7
    DOI: 10.1140/epjb/e2015-60787-7
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    Mesoscopic and Nanoscale Systems;

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