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

Nobuhiro Maeda | Zendy

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

Author(s) -

Nobuhiro Maeda

Publication year - 1995

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp/93.3.503

Subject(s) - physics , quasiparticle , vortex , angular momentum , quantum hall effect , quantum electrodynamics , mean field theory , condensed matter physics , magnetic field , quantum mechanics , charge (physics) , field (mathematics) , total angular momentum quantum number , fractional quantum hall effect , bound state , quantum spin hall effect , superconductivity , thermodynamics , mathematics , pure mathematics

Applying a bi-local mean field approximation to the fractional quantum Hallstate of $\nu=1/3$, we obtain charged and neutral vortex mean field solutionsnumerically. We calculate the mean field energy and the fluctuationcorrections. The charged vortex has a fractional charge and a fractionalangular momentum. The neutral vortex is a bound state of two charged vorticesand has a zero charge and a zero angular momentum. The creation energy of theneutral vortex is about a half of the pair creation energy of two chargedvortices. The magnetic field dependence of the gap energy agrees with theLaughlin's quasiparticle gap energy.Comment: 22 pages, EPHOU-94-001, 8 figures available as a hard copy via air-mai

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