Fascinating structures have arisen from the study of the fractional
quantum Hall effect (FQHE) at the even denominator fraction of
5/25/2.
We consider the FQHE at another even denominator fraction, namely
\nu=2+3/8ν=2+3/8,
where a well-developed and quantized Hall plateau has been observed in
experiments. We examine the non-Abelian state described by the
``\bar{3}\bar{2}^{2}1^{4}3‾2‾214"
parton wave function and numerically demonstrate it to be a feasible
candidate for the ground state at \nu=2+3/8ν=2+3/8.
We make predictions for experimentally measurable properties of the
\bar{3}\bar{2}^{2}1^{4}3‾2‾214
state that can reveal its underlying topological structure.
A non-Abelian parton state for the $ν=2+3/8$ fractional quantum Hall effect
