Non-Fermi liquid theory of quantum Hall effects

  • A. M. M. Pruisken
  • M. A. Baranov
  • I. S. Burmistrov
Condensed Matter

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.

PACS numbers

71.10.Pm 72.10.−d 73.43.−f 

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Copyright information

© Pleiades Publishing, Inc. 2005

Authors and Affiliations

  • A. M. M. Pruisken
    • 1
  • M. A. Baranov
    • 2
    • 3
  • I. S. Burmistrov
    • 1
    • 4
  1. 1.Institute for Theoretical PhysicsUniversity of AmsterdamAmsterdamThe Netherlands
  2. 2.Van der Waals-Zeeman Institute for Experimental PhysicsUniversity of AmsterdamAmsterdamThe Netherlands
  3. 3.Russian Research Centre Kurchatov InstituteMoscowRussia
  4. 4.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia

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