Abstract
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 language | English (US) |
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Article number | 033223 |
Journal | Physical Review Research |
Volume | 2 |
Issue number | 3 |
DOIs | |
State | Published - Aug 2020 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy