On auxiliary flux tubes associated to composite fermions in 2D Hall systems

TL;DR

This paper refines the composite fermion model for fractional quantum Hall systems by correcting hierarchy mappings and explaining flux-tubes via cyclotron braids, addressing inaccuracies for certain Landau level fillings.

Contribution

It introduces a corrected hierarchy for the fractional quantum Hall effect using cyclotron braid theory and clarifies flux-tube roles in composite fermion constructions.

Findings

Identifies inaccuracies in the composite fermion model for certain fillings.

Proposes a corrected hierarchy mapping to integer effects.

Explains flux-tubes and vortices through cyclotron braids.

Abstract

An inaccuracy of composite fermion model is identified for Landau level fillings out of 1/p, p odd. The corrected version of hierarchy for fractional quantum Hall effect is proposed by mapping onto integer effect within the cyclotron braid approach. Flux-tubes and vortices for composite fermion constructions are explained in terms of cyclotron braids. The even denominator fractional lowest Landau level fillings, including Hall metal, are also discussed in cyclotron braid terms.