Localization, Coulomb interaction, topological principles and the quantum Hall effect

2001/04/20 by A. M. M. Pruisken, Pruisken, A. M. M., M. A. Baranov +3
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/0104387

4 pages, no figures

arxiv created 2001/04/20 · arxiv updated 2009/11/30

Abstract

We report the consequences of a new interaction symmetry that protects the renormalization of the electron gas in low dimensions in general, and in the quantum Hall regime in particular. We introduce a generalized Thouless' criterion for localization to include the effects of the Coulomb interaction and establish the quantization of the Hall conductance as well as the theory of massless edge bosons.

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