An anyon wavefunction for the fractional quantum Hall effect

An anyon wavefunction (characterized by the statistical factor n) projected onto the lowest Landau level is derived for the fractional quantum Hall effect states at filling factor v = n/(2pn + 1) (p and n are integers). We study the properties of the anyon wavefunction by using detailed Monte Carlo simulations in disc geometry and show that the anyon ground-state energy is a lower bound to the composite fermion one. Our results suggest that the composite fermions can be viewed as a combination of anyons and a fluid of charge-neutral dipoles.