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An exact expression of the collective excitation energy gap of fractional quantum Hall effect

Yu-Liang Liu
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Abstract

We have exactly solved the eigenequation of a two-dimensional Dirac fermion moving on the surface of a sphere under the influence of a radial magnetic field B, and obtained an exact expression of the collective excitation energy gap for the filling factors $ν=p/(2mp\pm 1)$, m and p are non-zero integers, which is very well agreement with the computing results.

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Yu-Liang Liu. 1996-11-23. An exact expression of the collective excitation energy gap of fractional quantum Hall effect. https://arxiv.org/abs/cond-mat/9611184

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