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

L. Tessieri
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Abstract

We study the nature of electronic states in one-dimensional continuous models with weak correlated disorder. Using a perturbative approach, we compute the inverse localisation length (Lyapunov exponent) up to terms proportional to the fourth power of the potential; this makes possible to analyse the delocalisation transition which takes place when the disorder exhibits specific long-range correlations. We find that the transition consists in a change of the Lyapunov exponent, which switches from a quadratic to a quartic dependence on the strength of the disorder. Within the framework of the fourth-order approximation, we also discuss the different localisation properties which distinguish Gaussian from non-Gaussian random potentials.

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L. Tessieri. 2002-06-20. Delocalisation phenomena in one-dimensional models with long-range correlated disorder: a perturbative approach. https://doi.org/10.1088/0305-4470%2F35%2F45%2F307

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