# Competing topological orders in the ν=12/5 quantum Hall state.

@article{Bonderson2012CompetingTO,
title={Competing topological orders in the $\nu$=12/5 quantum Hall state.},
author={Parsa Bonderson and Adrian E. Feiguin and Gunnar M{\"o}ller and Joost Slingerland},
journal={Physical review letters},
year={2012},
volume={108 3},
pages={
036806
}
}
• Published 30 January 2009
• Physics
• Physical review letters
We provide numerical evidence that a p(x)-ip(y) paired Bonderson-Slingerland (BS) non-Abelian hierarchy state is a strong candidate for the observed ν=12/5 quantum Hall plateau. We confirm the existence of a gapped incompressible ν=12/5 quantum Hall state with shift S=2 on the sphere, matching that of the BS state. The exact ground state of the Coulomb interaction at S=2 is shown to have a large overlap with the BS trial wave function. Larger overlaps are obtained with BS-type wave functions…

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