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Localization-delocalization transition in chains with long-range correlated disorder

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  • T. Kaya

Abstract

We investigated numerically localization properties of electron eigenstates in a chain with long-range correlated diagonal disorder. A tight-binding one-dimensional model with on-site energies exhibiting long-range correlated disorder (LCD) was used with various disorder strength W. LCD was defined so that it gave a power-law spectral density of the form S(k)αk -p , where p determines the roughness of the potential landscape. Numerical results on the correlation length ξ of eigenstates shows the existence of the localization-delocalization transition at p=2. It is found that the critical values for disorder strength W c and also the critical exponent ν for localization length change with the values of p. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • T. Kaya, 2007. "Localization-delocalization transition in chains with long-range correlated disorder," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 55(1), pages 49-56, January.
    • Handle: RePEc:spr:eurphb:v:55:y:2007:i:1:p:49-56
    DOI: 10.1140/epjb/e2007-00036-4
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