Bridge between Abelian and Non-Abelian Fractional Quantum Hall States
arXiv:0804.2462 · doi:10.1103/PhysRevLett.101.066803
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.
4 pages, 2 figures; revised version, published in Phys. Rev. Lett
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