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

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

2001-04-20

arxiv.org/abs/cond-mat/0104387v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, no figures

Scientific paper

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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