Absence of Localization in a Nonlinear Random Binary Alloy

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Abstract
We investigate electronic propagation in a one-dimensional nonlinear random binary alloy modeled by a discrete nonlinear Schrödinger equation. We find absence of electronic localization except for large nonlinearity parameter values. The presence of disorder is completely overcome by the nonlinear terms leading to ballistic propagation of the untrapped electronic fraction. The existence of disorder in the model is manifested in the power-law decay of the transmissivity of plane waves through the medium as a function of the system size.