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

TitlePrediction of a Non-Abelian Fractional Quantum Hall State with f-Wave Pairing of Composite Fermions in Wide Quantum Wells
Publication TypeJournal Article
Year of Publication2019
AuthorsW.. N. Faugno, A. C. Balram, M. Barkeshli, and J.. K. Jain
JournalPhys. Rev. Lett.
Volume123
Pagination016802
Date PublishedJUL 2
Type of ArticleArticle
ISSN0031-9007
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.

DOI10.1103/PhysRevLett.123.016802