Non-Abelian states with negative flux: a new series of quantum Hall states

TL;DR

This paper introduces a new series of non-Abelian quantum Hall states derived from parafermionic clustering, which may explain certain experimentally observed fractional quantum Hall states at specific filling factors.

Contribution

It proposes novel trial wavefunctions for fractional quantum Hall states using parafermionic clustering with both positive and negative flux, expanding the understanding of non-Abelian states.

Findings

The new states compete with stripe and composite fermion states at certain filling factors.

Exact diagonalization suggests relevance for filling factors 3/7, 3/11, and 3/8.

The series includes all states recently discovered by Pan et al.

Abstract

By applying the idea of parafermionic clustering to composite bosons with positive as well as negative flux, a new series of trial wavefunctions to describe fractional quantum Hall states is proposed. These non-Abelian states compete at filling factors k/(3k +/- 2) with other ground states like stripes or composite fermion states. These two series contain all the states recently discovered by Pan et al. [Phys. Rev. Lett. 90, 016801 (2003)] including the even denominator cases. Exact diagonalization studies on the sphere and torus point to their possible relevance for filling factors 3/7, 3/11, and 3/8.