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

T. Kaya ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 55, issue 1, 49-56

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

Keywords: 05.60.Gg Quantum transport, 72.15.Rn Localization effects, 72.20.Ee Mobility edges; hopping transport, 64.60.Cn Order-disorder transformations; statistical mechanics of model systems, (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1140/epjb/e2007-00036-4

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