A non-Abelian parton state for the ν = 2 + 3/8 fractional quantum Hall effect

Abstract

Fascinating structures have arisen from the study of the fractional quantum Hall effect (FQHE) at the even denominator fraction of 5/2. We consider the FQHE at another even denominator fraction, namely ν = 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 “3¯2¯214" parton wave function and numerically demonstrate it to be a feasible candidate for the ground state at ν = 2 + 3/8. We make predictions for experimentally measurable properties of the 3¯2¯214 state that can reveal its underlying topological structure.