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

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 [GRAPHICS] , with different exponents [GRAPHICS] and [GRAPHICS] , respectively. We determine the critical value of long-range correlation exponent of hopping integral [GRAPHICS] 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 [GRAPHICS] and [GRAPHICS] 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 [GRAPHICS] for a given value of [GRAPHICS] .