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

M.A. Baranov^а, A.M.M. Pruisken^б, B. Škorić^б
^аНациональный исследовательский центр «Курчатовский институт», пл. акад. Курчатова 1, Москва, 123182, Российская Федерация
^бAmsterdam 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.

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English fulltext is available at DOI: 10.1070/1063-7869/44/10S/S08

PACS: 73.43.−f, 73.43.Cd, 71.70.−d (все)
DOI: 10.1070/1063-7869/44/10S/S08
URL: https://ufn.ru/ru/articles/2001/13/h/
Цитата: Baranov M A, Pruisken A M M, Škorić B "The problem of Coulomb interactions in the theory of the quantum Hall effect" УФН 171 44–49 (2001)

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TY JOUR
TI The problem of Coulomb interactions in the theory of the quantum Hall effect
AU Baranov, M. A.
AU Pruisken, A. M. M.
AU Škorić, B.
PB Успехи физических наук
PY 2001
JO Успехи физических наук
JF Успехи физических наук
JA Усп. физ. наук
VL 171
IS 13
SP 44-49
UR https://ufn.ru/ru/articles/2001/13/h/
ER https://doi.org/10.1070/1063-7869/44/10S/S08

English 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); DOI: 10.1070/1063-7869/44/10S/S08