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Charged and Neutral Vortex Excitations in a Mean Field Theory for the Fractional Quantum Hall Effect

Nobuki Maeda
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Abstract

Applying a bi-local mean field approximation to the fractional quantum Hall state of $ν=1/3$, 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.

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Nobuki Maeda. 1994-06-07. Charged and Neutral Vortex Excitations in a Mean Field Theory for the Fractional Quantum Hall Effect. https://doi.org/10.1143/ptp%2F93.3.503

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