Localization in the Anderson model with long-range correlated hopping and on-site disorders

Abstract

We study the metal–insulator transition in one-dimensional Anderson binary alloy with long-range disordered hopping integrals and on-site energies using the transfer matrix method. In this model, the on-site energies and hopping integrals are distributed randomly with long-range correlations characterized by power spectrum of the type , with different exponents and , respectively. We determine the critical value of long-range correlation exponent of hopping integral in the presence of only off-diagonal disorder in which the transition from localized to extended states occurs in thermodynamic limit. When both of the on-site energies and hopping integrals are disordered, there are two parameters and that control the metal–insulator transition in the system. We draw the phase diagram which separates the localized regime from extended one and it shows the critical values of for a given value of .