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arXiv · 1904.07164

Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wells

William N. Faugno·Ajit C. Balram·Maissam Barkeshli·Jainendra K. Jain
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Abstract

We theoretically investigate the nature of the state at 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.

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William N. Faugno, Ajit C. Balram, Maissam Barkeshli, Jainendra K. Jain. 2019-04-15. Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wells. https://doi.org/10.1103/physrevlett.123.016802

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