Modern Physics Letters B
DERIVATION OF LAUGHLIN'S WAVEFUNCTION IN ANYON SYSTEM
Z. F. Ezawa, Aiichi Iwazaki
Abstract
In a semiclassical approximation we derive the ground-state wavefunction of the system of anyons in an external magnetic field, where anyons are interacting via the Coulomb interaction. The statistical interactions are treated in perturbation around the boson limit. The wavefunction coincides with the Laughlin wavefunction except for small corrections due to the Coulomb interaction. We also calculate the ground-state energy and the excitation spectrum.