Universality in Quantum Hall Systems: Coset Construction of Incompressible States

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dc.creatorFroehlich, J.
dc.creatorPedrini, B.
dc.creatorSchweigert, C.
dc.creatorWalcher, J.
dc.date2000-02-21
dc.date2000-03-06
dc.date.accessioned2026-07-07T02:36:50Z
dc.date.available2026-07-07T02:36:50Z
dc.descriptionIncompressible Quantum Hall fluids (QHF's) can be described in the scaling limit by three-dimensional topological field theories. Thanks to the correspondence between three-dimensional topological field theories and two dimensional chiral conformal field theories (CCFT's), we propose to study QHF's from the point of view of CCFT's. We derive consistency conditions and stability criteria for those CCFT's that can be expected to describe a QHF. A general algorithm is presented which uses simple currents to construct interesting examples of such CCFT's. It generalizes the description of QHF's in terms of Quantum Hall lattices. Explicit examples, based on the coset construction, provide candidates for the description of Quantum Hall fluids with Hall conductivity s_H=1/2 e^2/h, 1/4 e^2/h, 3/5 e^2/h, e^2/h,...
dc.description36 pages, LaTeX2e, AMSLaTeX; dedicated to the memory of Quin Luttinger. References added, typos fixed
dc.identifierhttps://arxiv.org/abs/cond-mat/0002330
dc.identifierhttp://arxiv.org/abs/cond-mat/0002330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16069
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleUniversality in Quantum Hall Systems: Coset Construction of Incompressible States
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