Constraint equation for the lowest Landau level in the fractional quantum Hall system.
نویسندگان
چکیده
We apply the singular gauge transformation to the constraint equation for the lowest Landau level to investigate the generic properties of the quasiparticles of the fractional quantum Hall system by using the collective-field-theory approach. It shows a transparent connection with Laughlin s wave functions. If we take an average over the wave functional for the constraint equation, the resulting equation can be interpreted as the vortex equation for the fractionally charged quasiparticles. By introducing a generalized duality transformation, p(density)-8(phase) transformation, we can obtain the fractional statistics as well as the hierarchy scheme from the constraint equation.
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عنوان ژورنال:
- Physical review. B, Condensed matter
دوره 44 20 شماره
صفحات -
تاریخ انتشار 1991