Bridge between Abelian and Non-Abelian Fractional Quantum Hall States
Mesoscale and Nanoscale Physics
2008-08-26 v3
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.
Keywords
Cite
@article{arxiv.0804.2462,
title = {Bridge between Abelian and Non-Abelian Fractional Quantum Hall States},
author = {N. Regnault and M. O. Goerbig and Th. Jolicoeur},
journal= {arXiv preprint arXiv:0804.2462},
year = {2008}
}
Comments
4 pages, 2 figures; revised version, published in Phys. Rev. Lett