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arXiv · 0804.2462

Bridge between Abelian and Non-Abelian Fractional Quantum Hall States

N. Regnault·M. O. Goerbig·Th. Jolicoeur
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Abstract

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 the proposed scheme allows for a unification of both Abelian and non-Abelian trial wave functions in the study of one-component quantum Hall systems.

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N. Regnault, M. O. Goerbig, Th. Jolicoeur. 2008-08-26. Bridge between Abelian and Non-Abelian Fractional Quantum Hall States. https://doi.org/10.1103/physrevlett.101.066803

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