Localization-delocalization transition in chains with long-range correlated disorder
Physics Department, Yıldız Technical University, Istanbul, 34210 Davutpaşa, Turkey
Corresponding author: a firstname.lastname@example.org
Revised: 9 January 2007
Published online: 7 February 2007
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 Wc and also the critical exponent ν for localization length change with the values of p.
PACS: 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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007