Delocalisation transition in quasi - 1 D models with correlated disorder

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. Pacs numbers: 73.20.Jc, 72.15.Rn, 05.40.-a