Non-Fermi liquid theory of quantum Hall effects

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Abstract

Within the Grassmannian U(2N)/U(N) × U(N) nonlinear σ-model representation of localization, one can study the low-energy dynamics of both a free and interacting electron gas. We study the crossover between these two fundamentally different physical problems. We show how the topological arguments for the exact quantization of the Hall conductance are extended to include the Coulomb interaction problem. We discuss dynamical scaling and make contact with the theory of variable range hopping.

From Pis’ma v Zhurnal Éksperimental’no \(\overset{\lower0.5em\hbox{\(\smash{\scriptscriptstyle\smile}\)}}{l} \) i Teoretichesko \(\overset{\lower0.5em\hbox{\(\smash{\scriptscriptstyle\smile}\)}}{l} \) Fiziki, Vol. 82, No. 3, 2005, pp. 166–170.
Original English Text Copyright © 2005 by Pruisken, Baranov, Burmistrov.
The text was submitted by the authors in English.