TY - JOUR
T1 - Non-Abelian fractional quantum Hall state at 3/7-filled Landau level
AU - Faugno, W. N.
AU - Jain, J. K.
AU - Balram, Ajit C.
N1 - Publisher Copyright:
© 2020 authors. Published by the American Physical Society.
PY - 2020/8
Y1 - 2020/8
N2 - 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.
AB - 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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U2 - 10.1103/PhysRevResearch.2.033223
DO - 10.1103/PhysRevResearch.2.033223
M3 - Article
AN - SCOPUS:85098614393
SN - 2643-1564
VL - 2
JO - Physical Review Research
JF - Physical Review Research
IS - 3
M1 - 033223
ER -