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Conformal field theory of composite fermions
Stockholm University, Faculty of Science, Department of Physics.
2007 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 98, no 7, 76801- p.Article in journal (Refereed) Published
Abstract [en]

We show that the quantum Hall wave functions for the ground states in the Jain series nu=n/(2np+1) can be exactly expressed in terms of correlation functions of local vertex operators V-n corresponding to composite fermions in the nth composite-fermion (CF) Landau level. This allows for the powerful mathematics of conformal field theory to be applied to the successful CF phenomenology. Quasiparticle and quasihole states are expressed as correlators of anyonic operators with fractional (local) charge, allowing a simple algebraic understanding of their topological properties that are not manifest in the CF wave functions. Moreover, our construction shows how the states in the nu=n/(2np+1) Jain sequence may be interpreted as condensates of quasiparticles.

Place, publisher, year, edition, pages
2007. Vol. 98, no 7, 76801- p.
Keyword [en]
incompressible quantum fluid, hall states, statistics, hierarchy, particles
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-57108DOI: 10.1103/PhysRevLett.98.076801ISI: 000244250300047OAI: oai:DiVA.org:su-57108DiVA: diva2:415781
Note
authorCount :4Available from: 2011-05-09 Created: 2011-05-03 Last updated: 2017-12-11Bibliographically approved

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