Conformal field theory of composite fermions

T. H. Hansson, C. C. Chang, J. K. Jain, S. Viefers

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

We show that the quantum Hall wave functions for the ground states in the Jain series Î =n/(2np+1) can be exactly expressed in terms of correlation functions of local vertex operators Vn 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 Î =n/(2np+1) Jain sequence may be interpreted as condensates of quasiparticles.

Original languageEnglish (US)
Article number076801
JournalPhysical Review Letters
Volume98
Issue number7
DOIs
StatePublished - Feb 12 2007

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fermions
composite materials
wave functions
operators
mathematics
correlators
phenomenology
condensates
apexes
ground state

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Hansson, T. H. ; Chang, C. C. ; Jain, J. K. ; Viefers, S. / Conformal field theory of composite fermions. In: Physical Review Letters. 2007 ; Vol. 98, No. 7.
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Conformal field theory of composite fermions. / Hansson, T. H.; Chang, C. C.; Jain, J. K.; Viefers, S.

In: Physical Review Letters, Vol. 98, No. 7, 076801, 12.02.2007.

Research output: Contribution to journalArticle

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