Abelian parton state for the $\nu=4/11$ fractional quantum Hall effect

TL;DR

This paper proposes the Abelian $4\bar{2}1^{3}$ parton wave function as a plausible ground state for the fractional quantum Hall effect at filling factor 4/11, supported by numerical evidence and theoretical analysis.

Contribution

It introduces a new candidate wave function for the 4/11 state and analyzes its edge theory and measurable properties.

Findings

Numerical evidence supports the $4\bar{2}1^{3}$ state as the ground state at 4/11.

The low-energy edge theory is derived and predictions for experiments are made.

The state explains the observed quantized Hall plateau at 4/11.

Abstract

We consider the fractional quantum Hall effect at the filling factor $\nu=4/11$, where two independent experiments have observed a well-developed and quantized Hall plateau. We examine the Abelian state described by the "$4\bar{2}1^{3}$" parton wave function and numerically demonstrate it to be a plausible candidate for the ground state at $\nu=4/11$. We work out the low-energy effective theory of the $4\bar{2}1^{3}$ edge and make predictions for experimentally measurable properties of the state.