Successive crossover from ordinary Born scattering to multiple scattering to localization: a delay time analysis in electronically random systems

Abstract

We have studied the reflection delay time distribution from a one-dimensional electronically random system of finite length. We show that the average delay time is a non-monotonic function of the strength of the disorder and exhibits three qualitatively different regimes. In the weak disorder limit, the scattering is dominated by the ordinary Born scattering. For the intermediate strengths of disorder, a well-defined regime of multiple scattering emerges followed by the localization domain.