1 research outputs found
Prediction of non-Abelian fractional quantum Hall effect at
The fractional quantum Hall effect (FQHE) in the second Landau level (SLL)
likely stabilizes non-Abelian topological orders. Recently, a parton sequence
has been proposed to capture many of the fractions observed in the SLL [Ajit C.
Balram, SciPost Phys. {\bf 10}, 083 (2021)]. We consider the first member of
this sequence which has not yet been studied, which is a non-Abelian state that
occurs at . As yet FQHE in the SLL at this fraction has not been observed
in experiments. Nevertheless, by studying its competition with other candidate
FQHE states in the SLL we show that this parton state might be viable. We also
make predictions for experimentally measurable properties of the parton state
which can distinguish it from other topological orders.Comment: 7 pages, 2 figure