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

M. A. Baranov·A. M. M. Pruisken·B. Skoric
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Abstract

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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M. A. Baranov, A. M. M. Pruisken, B. Skoric. 2000-11-23. The problem of Coulomb interactions in the theory of the quantum Hall effect. https://doi.org/10.1070/1063-7869%2F44%2F10s%2Fs08

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