Title

An anyon wavefunction for the fractional quantum Hall effect

Document Type

Article

Publication Date

5-18-2005

Abstract

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 ν = 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. © IOP Publishing Ltd.

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