Delocalisation transition in quasi-1D models with correlated disorder

TL;DR

This paper presents a novel method to analyze electronic states in quasi-1D disordered systems, revealing a delocalization transition driven by correlated disorder using a dynamic oscillator analogy.

Contribution

It extends a previous 1D analysis method to quasi-1D models, enabling the study of delocalization transitions with correlated disorder.

Findings

Delocalization transition occurs in quasi-1D models with weak, long-range correlated disorder.

The method links electronic state structure to stochastic oscillator dynamics.

Correlated disorder influences localization properties significantly.

Abstract

We introduce a new approach to analyse the global structure of electronic states in quasi-1D models in terms of the dynamics of a system of parametric oscillators with time-dependent stochastic couplings. We thus extend to quasi-1D models the method previously applied to 1D disordered models. Using this approach, we show that a ``delocalisation transition'' can occur in quasi-1D models with weak disorder with long-range correlations.