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We study the nature of electronic states in one-dimensional continuous modelswith weak correlated disorder. Using a perturbative approach, we compute theinverse localisation length (Lyapunov exponent) up to terms proportional to thefourth power of the potential; this makes possible to analyse thedelocalisation transition which takes place when the disorder exhibits specificlong-range correlations. We find that the transition consists in a change ofthe Lyapunov exponent, which switches from a quadratic to a quartic dependenceon the strength of the disorder. Within the framework of the fourth-orderapproximation, we also discuss the different localisation properties whichdistinguish Gaussian from non-Gaussian random potentials.Comment: 33 pages, 6 figures, LaTeX fil

Delocalization phenomena in one-dimensional models with long-range correlated disorder: a perturbative approach