Wave‐Packet Dynamics in Chains with Disorder‐Type Ornstein–Uhlenbeck and Static Electric Field

Abstract

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.