# Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wells

## TL;DR

This paper predicts a transition from a composite fermion Fermi sea to a novel non-Abelian fractional quantum Hall state with $f$-wave pairing in wide quantum wells, differing topologically from the $p$-wave Pfaffian state.

## Contribution

It introduces a new non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions, expanding understanding of topological phases in quantum wells.

## Key findings

- Transition from Fermi sea to $f$-wave paired state with increasing well width
- Predicted observable signatures of the new state
- Comparison with experimental phase diagrams

## Abstract

We theoretically investigate the nature of the state at quarter filled lowest Landau level and predict that, as the quantum well width is increased, a transition occurs from the composite fermion Fermi sea into a novel non-Abelian fractional quantum Hall state that is topologically equivalent to $f$-wave pairing of composite fermions. This state is topologically distinct from the familiar $p$-wave paired Pfaffian state. We compare our calculated phase diagram with experiments and make predictions for many observable quantities.