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

Abstract

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