The $θ$ vacuum reveals itself as the fundamental theory of the quantum Hall effect II. The Coulomb interaction

dc.creatorPruisken, A. M. M.
dc.creatorBaranov, M. A.
dc.creatorBurmistrov, I. S.
dc.date2002-06-01
dc.date.accessioned2026-07-07T06:20:03Z
dc.date.available2026-07-07T06:20:03Z
dc.descriptionWithin the Grassmannian $U(2N) / U(N) \times U(N)$ non-linear $σ$ model representation of localization one can study the low energy dynamics of both the free and interacting electron gas. We study the cross-over between these two fundamentally different physical problems. We show how the topological arguments for the exact quantization of the Hall conductance are extended to include the Coulomb interaction problem. We discuss dynamical scaling and make contact with the theory of variable range hopping.
dc.description4 RevTex pages and 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0206012
dc.identifierhttp://arxiv.org/abs/cond-mat/0206012
dc.identifierPis'ma v ZHETF 82, 166 (2005) [JETP Lett. 82, 150 (2005) ]
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95231
dc.subjectMesoscale and Nanoscale Physics
dc.subjectDisordered Systems and Neural Networks
dc.titleThe $θ$ vacuum reveals itself as the fundamental theory of the quantum Hall effect II. The Coulomb interaction
dc.typetext

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