In this paper, we present a detailed study of the electronic dynamics in systems with correlated disorder generated from the Ornstein–Uhlenbeck process (OU). In short, we used numeric methods for solving the time-dependent Schrödinger equation. We apply a Taylor’s expansion of the evolution operator in order to solve the differential equation. We calculate some typical tools, such as the participation function [Formula: see text], the mean square displacement [Formula: see text] and the probability of return [Formula: see text]. In our analysis, we show that for low correlations the system behaves as in the standard Anderson model (i.e. all eigenstates are localized). For strong correlations, our results suggest the existence of a quasi-ballistic dynamics.
Herein, the electronic dynamics in a 1D model with correlated disorder and under the influence of a static electric field is considered. In the framework, the diagonal disorder is obtained from an Ornstein–Uhlenbeck (OU) process. The Schrödinger equation considering an initial Gaussian wave packet with width l located at the center of chain will be solved. To understand the competition between the OU‐like disorder and the electric field, the time evolution of the electronic mean position is calculated. The results suggest that chains with diagonal disorder generated from OU process with small viscosity coefficient seem to exhibit apparent Bloch oscillations (BO) with dominant frequency roughly ω ≈ E. In addition, the stability of these apparent BO along the time is investigated.
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