An exact expression of the collective excitation energy gap of fractional quantum Hall effect
Yu-Liang Liu
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 1), m and p are non-zero integers, which is very well agreement with the computing results.
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