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2001

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Supplement

  

Quantum Hall effect


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

 a,  b,  b
a National Research Centre ‘Kurchatov Institute’, pl. akad. Kurchatova 1, Moscow, 123182, Russian Federation
b Amsterdam University, Amsterdam, The Netherlands

We summarize the main ingredients of a unifying theory for abelian quantum Hall states. This theory combines the Finkel'stein 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 ($\mathcal{F}$ 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.

Fulltext pdf (178 KB)
Fulltext is also available at DOI: 10.1070/1063-7869/44/10S/S08
PACS: 73.43.−f, 73.43.Cd, 71.70.−d (all)
DOI: 10.1070/1063-7869/44/10S/S08
URL: https://ufn.ru/en/articles/2001/13/h/
Citation: Baranov M A, Pruisken A M M, Škorić B "The problem of Coulomb interactions in the theory of the quantum Hall effect" Phys. Usp. 44 44–49 (2001)
BibTex BibNote ® (generic)BibNote ® (RIS)MedlineRefWorks
%0 Journal Article
%T The problem of Coulomb interactions in the theory of the quantum Hall effect
%A M. A. Baranov
%A A. M. M. Pruisken
%A B. Škorić
%I Physics-Uspekhi
%D 2001
%J Phys. Usp.
%V 44
%N 13
%P 44-49
%U https://ufn.ru/en/articles/2001/13/h/
%U https://doi.org/10.1070/1063-7869/44/10S/S08

Îðèãèíàë: Baranov M A, Pruisken A M M, Škorić B «The problem of Coulomb interactions in the theory of the quantum Hall effect» ÓÔÍ 171 44–49 (2001); DOI: 10.1070/1063-7869/44/10S/S08

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