Numerical Evidence for a p_x - ip_y Paired Fractional Quantum Hall State at ν = 12/5

Bonderson, Parsa and Feiguin, Adrian E. and Möller, Gunnar and Slingerland, J. K. (2009) Numerical Evidence for a p_x - ip_y Paired Fractional Quantum Hall State at ν = 12/5. (Preprint)

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Abstract

We provide numerical evidence supporting a Bonderson–Slingerland (BS) non-Abelian hierarchy state as a 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 matching that of the BS state. The exact ground-state of the Coulomb interaction state on the sphere is shown to have large overlap with the BS ground-state trial wavefunction. The analysis of the BS states is extended to hierarchical descendants of general paired states in the weak-pairing phase at ν = 5/2.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 13:47
Last Modified: 13 Jul 2018 10:55
URI: http://dair.dias.ie/id/eprint/510

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