Conformal field theory of composite fermions
2007 (English)In: Physical Review Letters, ISSN 0031-9007, Vol. 98, no 7, 76801- p.Article in journal (Refereed) Published
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.
incompressible quantum fluid, hall states, statistics, hierarchy, particles
IdentifiersURN: urn:nbn:se:su:diva-57108DOI: 10.1103/PhysRevLett.98.076801ISI: 000244250300047OAI: oai:DiVA.org:su-57108DiVA: diva2:415781
authorCount :42011-05-092011-05-032011-12-29Bibliographically approved