Conformal Field Theory of Composite Fermions

Details Conformal Field Theory of Composite Fermions Conformal Field Theory of Composite Fermions

2006-03-06

arxiv.org/abs/cond-mat/0603125v2

Phys.Rev.Lett.98:076801,2007

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

1 color figure; new result on exact correspondence between CF wave functions and CFT correlators included; presentation made l

Scientific paper

10.1103/PhysRevLett.98.076801

We show that the quantum Hall wave functions for the ground states in the Jain series can be exactly expressed in terms of correlation functions of local vertex operators, V_n, corresponding to composite fermions in the n:th 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.

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