Ground State Wavefunctions of General Filling Factors in the Lowest Landau Level

TL;DR

This paper introduces explicit trial wavefunctions for specific filling factors in the lowest Landau level, analyzing their zeroes and occupation profiles, and describing the ground state droplet's center-of-mass motion.

Contribution

It provides new explicit trial wavefunctions for filling factors /(2n) and 1/2, and studies their zeroes and excitation properties.

Findings

Zeroes of wavefunctions are mostly detached from particles.

Wavefunction at half-filling shows 2k_F-like oscillations.

Center-of-mass motion is described via intra-Landau-level excitations.

Abstract

We present a set of explicit trial wavefunctions for the filling factors \nu=n/(2n\pm 1) and \nu=1/2 in the symmetric gauge. We show that the zeroes of the wavefunction, except those dictated by the Fermi statistics, are detached from the particles. The evolution of zeroes as the filling factor is varied is examined. We show that the wavefunction at half-filling exhibits a 2k_F-like oscillation in its occupation number profile. The center-of-mass motion of the ground state droplet is described in terms of the intra-Landau- level excitations of composite fermions.