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

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概要

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• 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 has a zero charge and a zero angular momentum and vorticity two. 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 Laughlin's quasiparticle gap energy.

• 理論物理学刊行会の論文
• 1995-03-25

著者

• Maeda Nobuki

  Department Of Physics Hokkaido University

関連論文

• A Mean Field Theory for the Quantum Hall Liquid. II : The Vortex Solution : Condensed Matter and Statistical Physics
• Flux State in von Neumann Lattices and the Fractional Hall Effect : Particles and Fields
• Magnetic Response in Quantized Spin Hall Phase of Correlated Electrons
• Charged and Neutral Vortex Excitations in a Mean Field Theory for the Fractional Quantum Hall Effect
• The London Equation in Quantum Spin Hall System with Electronic Correlation

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