%0 Journal Article
%T Renormalization Group Derivation of the Localization Length Exponent in the Integer Quantum Hall Effect
%A L. Moriconi
%J Physics
%D 1994
%I arXiv
%R 10.1016/0375-9601(95)00100-H
%X We compute, neglecting possible effects of subleading irrelevant couplings, the localization length exponent in the integer quantum Hall effect, for the case of white noise random potentials. The result obtained is $\nu=2$ for all Landau levels. Our approach consists in a renormalization group transformation of Landau orbitals, which iterates the generating functional of Green's functions for the localization problem. The value of $\nu$ is obtained from the asymptotic form of the renormalization group mapping. The basic assumptions in our derivation are the existence of a scaling law for the localization length and the absence of Landau level mixing.
%U http://arxiv.org/abs/cond-mat/9406100v3