A Wigner approach to the study of wave packets in ordered and disordered arrays of dopants

We study the evolution of a Gaussian wave packet in the presence of the ordered and disordered arrays of dopants, described by means of Coulombic potentials. As a first step, we investigate the dynamics of the packet in three different ordered configurations consisting of two, three and four-columns arrays. Then, random but controlled disorder is introduced and increased constantly by perturbing the initial position of the dopants by a given amount of noise. The effects over the dynamics of an electron wave packet are clearly observable in the simulation results. After a detailed investigation for different values of perturbation, 20%, 40% and 60%, on three different dopant arrays, one concludes that the best performance, in terms of conductance and current, is achieved for ordered arrays of dopants, in perfect agreement with the available experimental results.