Localization on a two-channel model with cross-correlated disorder

Abstract

We study the wavepacket dynamics in a two-channel Anderson model with correlated diagonal disorder. To impose correlations in the disorder distribution we construct the on-site energy landscape following both symmetric and antisymmetric rules. Our numerical data show that symmetric cross-correlations have a small impact on the degree of localization of the one-particle eigenstates. In contrast, antisymmetric correlations lead to a reduction of the effective degree of disorder, thus resulting in a substantial increase of the wavepacket spread. A finite-size scaling analysis shows that the antisymmetric cross-correlations, in spite of weakening the localization, do not promote ballistic transport. The present results shed light on recent findings concerning an apparent delocalization transition in a correlated DNA-like ladder model.