Bridge between Abelian and non-Abelian fractional quantum Hall states.
We propose a scheme to construct the most prominent Abelian and non-Abelian fractional quantum Hall states from K-component Halperin wave functions. In order to account for a one-component quantum Hall system, these SU(K) colors are distributed over all particles by an appropriate symmetrization. Numerical calculations corroborate the picture that K-component Halperin wave functions may be a common basis for both Abelian and non-Abelian trial wave functions in the study of one-component quantum Hall systems.
Regnault
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Laboratoire Pierre Aigrain, Département de Physique, ENS, CNRS, 24 Rue Lhomond, F-75005 Paris, France.
Goerbig
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Jolicoeur
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