Bridge between Abelian and Non-Abelian Fractional Quantum Hall States

Details Bridge between Abelian and Non-Abelian Fractional Quantum Hall States Bridge between Abelian and Non-Abelian Fractional Quantum Hall States

2008-04-15

arxiv.org/abs/0804.2462v3

Phys. Rev. Lett. 101, 066803 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures; revised version, published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.101.066803

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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