A Conformal Field Theory for the Quantum Hall Effect

Details A Conformal Field Theory for the Quantum Hall Effect A Conformal Field Theory for the Quantum Hall Effect

1992-02-07

arxiv.org/abs/hep-th/9202027v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pgs

Scientific paper

The QHE is studied in the context of a CFT. An effective field of $N$ ``spins" associated with the cyclotron motion of particles is taken as an order parameter from which an effective Hamiltonian may be defined. This effective Hamiltonian describes the COM motion of the $N$ particles (with coupling $\kappa_0$) together with a current-current interaction (of strength $\kappa_1$). Such a system gives rise to a CFT in the large $N$ limit when $\kappa_0 = \kappa_1$. The Laughlin wavefunction is derived from this CFT as an $N'$-point correlation function of winding state vertex operators.

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