Anderson localization in a spatially correlated random potential under a strong magnetic field

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Abstract
The density of state and the conductivity in the presence of a strong magnetic field are calculated by perturbation expansions for a Gaussian random potential correlated at different positions in two dimensional space. A parameter η is introduced which characterizes the ratio of the length defined by the impurity potential correlations to the magnetic length. For large η, a 1/η expansion shows that the conductivity vanishes. For small η one recovers results consistent with that of the unitary non-linear σ model