Characterization of fractional-quantum-Hall-effect quasiparticles

TL;DR

This paper explores the nature of quasiparticles in the fractional quantum Hall effect, proposing a dressed-electron model that unifies different descriptions and clarifies their properties.

Contribution

It introduces a dressed-electron perspective for quasiparticles, reconciling it with the fractional charge and statistics models in the fractional quantum Hall regime.

Findings

Dressed-electron model aligns with fractional charge and statistics for quasiparticles.

Long-range interactions are consistent across both models.

Unifies quasiparticle dynamics in and beyond fractional quantum Hall systems.

Abstract

Composite fermions in a partially filled quasi-Landau level may be viewed as quasielectrons of the underlying fractional quantum Hall state, suggesting that a quasielectron is simply a dressed electron, as often is true in other interacting electron systems, and as a result has the same intrinsic charge and exchange statistics as an electron. This paper discusses how this result is reconciled with the earlier picture in which quasiparticles are viewed as fractionally-charged fractional-statistics ``solitons". While the two approaches provide the same answers for the long-range interactions between the quasiparticles, the dressed-electron description is more conventional and unifies the view of quasiparticle dynamics in and beyond the fractional quantum Hall regime.