title: Quantum hall plateau transition at order 1/N.
abstract: The localization behavior of noninteracting two-dimensional electrons in a random potential and strong magnetic field is of fundamental interest for the physics of the quantum Hall effect. In order to understand the emergence of power-law delocalization near the discrete extended-state energies E(n) = Planck's over 2piomega(c)(n+1 / 2), we study a generalization of the disorder-averaged Liouvillian framework for the lowest Landau level to N flavors of electron densities ( N = 1 for the physical case). We find analytically the large- N limit and 1/N corrections for all disorder strengths: at N = infinity this gives an estimate of the critical conductivity, and at order 1/N an estimate of the localization exponent nu.
authors.affiliation: Bell Labs, Lucent Technologies, 700 Mountain Avenue, Murray Hill, New Jersey 07974, USA.
authors.forename: J E
authors.initials: JE
authors.lastname: Moore
authors.forename: A
authors.initials: A
authors.lastname: Zee
authors.forename: J
authors.initials: J
authors.lastname: Sinova