Non-Abelian fractional quantum Hall state at 3/7-filled Landau level

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

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


We consider a non-Abelian candidate state at filling factor ν=3/7 state belonging to the parton family. We find that, in the second Landau level of GaAs (i.e., at filling factor ν=2+3/7), this state is energetically superior to the standard Jain composite-fermion state and also provides a very good representation of the ground state found in exact diagonalization studies of finite systems. This leads us to predict that if a fractional quantum Hall effect is observed at ν=3/7 in the second Landau level, it is likely to be described by this new non-Abelian state. We enumerate experimentally measurable properties that can verify the topological structure of this state.

Original languageEnglish
Article number033223
JournalPhysical Review Research
Issue number3
Publication statusPublished - 2020 Aug
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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