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Quantum Hall hierarchy wave functions from conformal field theory
Stockholm University, Faculty of Science, Department of Physics. (KOF)
Stockholm University, Faculty of Science, Department of Physics. (KOF)
Stockholm University, Faculty of Science, Department of Physics. (KOF)
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2008 (English)In: Bulletin of the American Physical Society, 2008Conference paper, Published paper (Other academic)
Abstract [en]

It has long been known that Laughlin's wave functions, describing the fractional quantum Hall effect at filling fractions ν=1/(2k+1), can be obtained as correlation functions in conformal field theory. We show how to generalize this approach to construct explicit trial wave functions for all states in the quantum Hall hierarchy corresponding to quasiparticle (as opposed to quasihole) condensates, including the recently observed state at ν= 4/11. At the filling fractions ν= n/(2np+1) this construction exactly reproduces Jain's composite fermion wave functions. An explicit connection is made to Wen's topological classification of FQH states.

Place, publisher, year, edition, pages
2008.
Identifiers
URN: urn:nbn:se:su:diva-16753OAI: oai:DiVA.org:su-16753DiVA: diva2:183273
Available from: 2008-12-22 Created: 2008-12-22Bibliographically approved

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