Numerical study of the one-electron dynamics in one-dimensional systems with short-range correlated disorder

Abstract

In this work, we numerically calculate the dynamics of an electron in one-dimensional disordered systems. Our formalism is based on the numerical solution of the time-dependent Schrödinger equation for the complete Hamiltonian combined with a finite-size scaling analysis. Our calculations were performed on chains with short-ranged exponential correlation on the diagonal disorder distribution. Our formalism provides an accurate estimate for the dependence of the localization length with the width of disorder. We also show here numerical calculations of the localization length by using a standard renormalization procedure. Our results agree within our numerical precision. We provide a detailed description of the role played by these short-range correlations within electronic transport. We numerically demonstrate the relationship between localization length, correlation length, and the strength of disorder.