Field Theory for the Quantum Hall Liquid . II — The Vortex Solution —
نویسنده
چکیده
In the Fractional Quantum Hall state, we introduce a bi-local mean field and get vortex mean field solutions. Rotational invariance is imposed and the solution is constructed by means of numerical self-consistent method. It is shown that 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 vortex pair production below B = 5.5[T ].
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