English

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

Mesoscale and Nanoscale Physics 2007-05-23 v1 Disordered Systems and Neural Networks

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.

Keywords

Cite

@article{arxiv.cond-mat/0104387,
  title  = {Localization, Coulomb interaction, topological principles and the quantum Hall effect},
  author = {A. M. M. Pruisken and M. A. Baranov and I. S. Burmistrov},
  journal= {arXiv preprint arXiv:cond-mat/0104387},
  year   = {2007}
}

Comments

4 pages, no figures

R2 v1 2026-07-22T10:20:09.461Z