A method is described for a proper numerical simulation of various random potentials and is used to compare the distributions of the potentials, projected onto the first two Landau bands. In the case of a slowly varying potential (correlation length ≫ cyclotron radius) we find a universal distribution, proving an expected universality for the delocalization transition, whereas for a short-range potential the distributions in the higher Landau bands become nonuniversal. Numerical simulations in the first Landau level support nonuniversal localization properties for very short-range correlations.
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B. Mieck (1990) studied this question.
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