Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells

W. N. Faugno, Ajit C. Balram, Maissam Barkeshli, J. K. Jain

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Abstract

We theoretically investigate the nature of the state at the quarter filled lowest Landau level and predict that, as the quantum well width is increased, a transition occurs from the composite fermion Fermi sea into a novel non-Abelian fractional quantum Hall state that is topologically equivalent to f-wave pairing of composite fermions. This state is topologically distinct from the familiar p-wave paired Pfaffian state. We compare our calculated phase diagram with experiments and make predictions for many observable quantities.

Original languageEnglish (US)
Article number016802
JournalPhysical Review Letters
Volume123
Issue number1
DOIs
StatePublished - Jul 2 2019

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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