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Article Dans Une Revue Phys.Rev.Res. Année : 2020

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

Résumé

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.
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Dates et versions

hal-02917246 , version 1 (24-04-2023)

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Citer

W.N. Faugno, J.K. Jain, Ajit C. Balram. Non-Abelian fractional quantum Hall state at 3/7 -filled Landau level. Phys.Rev.Res., 2020, 2 (3), pp.033223. ⟨10.1103/PhysRevResearch.2.033223⟩. ⟨hal-02917246⟩
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