arXiv subjects

G. Nagao

Publications and source records attributed to G. Nagao.

2 recordsLinked to original sources

arXiv1992

A Conformal Field Theory for the Quantum Hall Effect

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 $κ_0$) together with a current-current interaction (of strength $κ_1$). Such a system gives rise to a CFT in the large $N$ limit when $κ_0 = κ_1$. The Laughlin wavefunction is derived from this CFT as an $N'$-point correlation function of winding state vertex operators.

hep-th↗

arXiv1992

Toward a Conformal Field Theory for the Quantum Hall Effect

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.

hep-th↗