One-dimensional Anderson model with dichotomic correlation
Physics Department, Yıldız Technical University, Istanbul, 34210 Davutpaşa, Turkey
Corresponding author: a firstname.lastname@example.org
Revised: 7 November 2007
Published online: 22 December 2007
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.
PACS: 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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007