Journal
PHYSICAL REVIEW LETTERS
Volume 108, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.108.036806
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Funding
- Trinity Hall Cambridge
- I2CAM under NSF [DMR-0844115]
- Science Foundation Ireland [08/IN.1/I1961]
- Microsoft Station Q
- Science Foundation Ireland (SFI) [08/IN.1/I1961] Funding Source: Science Foundation Ireland (SFI)
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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 nu = 12/5 quantum Hall plateau. We confirm the existence of a gapped incompressible nu = 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 that are hierarchical descendants of general p(x) - ip(y) weakly paired states at nu = 5/2. We perform a finite-size scaling analysis of the ground-state energies for nu = 12/5 states at shifts corresponding to the BS (S 2) and 3-clustered Read-Rezayi (S = -2) universality classes. This analysis reveals very tight competition between these two non-Abelian topological orders.
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