A Mean Field Theory for the Quantum Hall Liquid. II --- The Vortex Solution - INSPIRE

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A Mean Field Theory for the Quantum Hall Liquid. II --- The Vortex Solution

Kenzo Ishikawa
(
- Hokkaido U.
)
,
Nobuki Maeda
(
- Hokkaido U.
)

Apr 26, 1993

20 pages

Published in:

Prog.Theor.Phys. 91 (1994) 237-250

e-Print:

cond-mat/9304043 [cond-mat]

DOI:

Report number:

EPHOU-93-001

View in:

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Abstract: (Oxford Journals)

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.

Note:

16pages,EPHOU 93-001,phyzzx

References(24)

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