Charged and Neutral Vortex Excitations in a Mean Field Theory for the Fractional Quantum Hall Effect
arXiv:cond-mat/9406032 · doi:10.1143/ptp/93.3.503
Abstract
Applying a bi-local mean field approximation to the fractional quantum Hall state of , we obtain charged and neutral vortex mean field solutions numerically. We calculate the mean field energy and the fluctuation corrections. The charged vortex has a fractional charge and a fractional angular momentum. The neutral vortex is a bound state of two charged vortices and has a zero charge and a zero angular momentum. The creation energy of the neutral vortex is about a half of the pair creation energy of two charged vortices. The magnetic field dependence of the gap energy agrees with the Laughlin's quasiparticle gap energy.
22 pages, EPHOU-94-001, 8 figures available as a hard copy via air-mail