The problem of Coulomb interactions in the theory of the quantum Hall effect

Details The problem of Coulomb interactions in the theory of the quantum Hall effect The problem of Coulomb interactions in the theory of the quantum Hall effect

2000-11-23

arxiv.org/abs/cond-mat/0011410v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 3 figures. To appear in Proceedings of the International Conference "Mesoscopics and Strongly Correlated Electron Sys

Scientific paper

10.1070/1063-7869/44/10S/S08

We summarize the main ingredients of a unifying theory for abelian quantum Hall states. This theory combines the Finkelstein approach to localization and interaction effects with the topological concept of an instanton vacuum as well as Chern-Simons gauge theory. We elaborate on the meaning of a new symmetry ($\cal F$ invariance) for systems with an infinitely ranged interaction potential. We address the renormalization of the theory and present the main results in terms of a scaling diagram of the conductances.

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