A Mean Field Theory for the Quantum Hall Liquid. II : The Vortex Solution : Condensed Matter and Statistical Physics
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概要
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In the Fractional Quantum Hall state, we get vortex mean field solutions. Imposing rotational invariance, we construct the solution by means of numerical self-consistent method. It is shown that the vortex has a fractional charge, a fractional angular momentum and a magnetic field dependent energy. In ν=1/3 state, we get finite energy gap at B=10, 15, 20[T]. We find that the gap vanishes at B=5.5[T] and becomes negative below it. The uniform mean field becomes unstable toward the vortex pair production below B=5.5[T] if the fluctuations are ignored.
- 理論物理学刊行会の論文
- 1994-02-25
著者
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Ishikawa K
Hokkaido Univ. Sapporo Jpn
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Ishikawa Kenzo
Department Of Physics Tohoku University
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Ishikawa Kenzo
Deparment Of Physics Hokkaido University
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MAEDA Nobuki
Department of Physics, Hokkaido University
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Maeda N
Hokkaido Univ. Sapporo
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Maeda Nobuki
Department Of Physics Hokkaido University
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Ishikawa Kenichi
Science And Engineering Research Laboratory Waseda University
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ISHIKAWA Kenzo
Department of Physics, Tohoku University:Institute for Nuclear Study, University of Tokyo
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