Toward a Conformal Field Theory for the Quantum Hall Effect

Details Toward a Conformal Field Theory for the Quantum Hall Effect Toward a Conformal Field Theory for the Quantum Hall Effect

1992-02-04

arxiv.org/abs/hep-th/9202010v1

Int. J. Mod. Phys. B6 (1992) 3235-3248

Physics

High Energy Physics

High Energy Physics - Theory

14 pgs

Scientific paper

An effective Hamiltonian for the study of the quantum Hall effect is proposed. This Hamiltonian, which includes a ``current-current" interaction has the form of a Hamiltonian for a conformal field theory in the large $N$ limit. An order parameter is constructed from which the Hamiltonian may be derived. This order parameter may be viewed as either a collective coordinate for a system of $N$ charged particles in a strong magnetic field; or as a field of spins associated with the cyclotron motion of these particles.

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