NON-EXPONENTIALLY LOCALIZED STATES IN A TWO-DIMENSIONAL DISORDERED SYSTEM?

Abstract

We study the length L dependence of the forward component of the transfer matrix for an electron passing through a strip with δ-function impurity potentials, with particular attention to the slowest growth-rate characteristic. In the first step of our microscopic study we obtain the inverse localization length for low energy electron in a weakly perturbed system. We show by considering an ensemble averaged mixed tensor a critical energy dividing exponential localization and non-exponential localization in the two-dimensional disordered system.