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 |
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Divisions: | School of Theoretical Physics > Preprints |
Date Deposited: | 19 Jun 2018 13:47 |
Last Modified: | 17 Dec 2022 14:16 |
URI: | https://dair.dias.ie/id/eprint/510 |
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