Delocalization in one-dimensional disordered systems with a short range correlation

Abstract

Delocalization in one-dimensional disordered systems with a short range correlation in on-site energies as well as in nonlinear parameter is studied using stationary discrete nonlinear Schrodinger equation. Depending upon the strength of the on-site energies and the nonlinear parameter the resonance energy with complete transmission is obtained. The half-width of the averaged transmission peak initially decreases algebraically with the sample length and for large sample length it decreases exponentially. With the increase in the strength of the nonlinear parameter the sample length where the algebraical decay is observed decreases. Under a certain condition among the on-site energies and the nonlinear parameter the correlated system behaves like a perfect system at any energy.