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

A. M. M. Pruisken; M. A. Baranov; I. S. Burmistrov

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

A. M. M. Pruisken·M. A. Baranov·I. S. Burmistrov

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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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A. M. M. Pruisken, M. A. Baranov, I. S. Burmistrov. 2001-04-20. Localization, Coulomb interaction, topological principles and the quantum Hall effect. https://arxiv.org/abs/cond-mat/0104387

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