One-dimensional Anderson model with dichotomic correlation

T. Kaya ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 60, issue 3, 313-318

Abstract: A one-dimensional diagonal tight binding electronic system with dichotomic correlated disorder is investigated. The correlation of random potential exponentially decays with distance and also with the dichotomic correlation parameter λ. Using a appropriate approximation, an analytical transmission coefficient expression is obtained. The obtained analytical expression is then tested against the result of the direct numerical computation of the average transmission coefficient 〈T〉 for the Anderson model, by changing the system parameters. In the thermodynamic limit the transmission coefficient relation indicates the absence of localization-delocalization transition, which is entirely consistent with numerical predictions. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Keywords: 05.60.Gg Quantum transport, 72.15.Rn Localization effects (Anderson or weak localization), 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/e2007-00356-3

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