Pair-distribution functions of correlated composite fermions

TL;DR

This paper calculates pair-distribution functions of composite fermions in fractional quantum Hall states, revealing cluster formation and estimating cluster sizes at specific filling factors, advancing understanding of electron correlations.

Contribution

It provides the first detailed analysis of g(r) for Laughlin quasielectrons in these states, identifying cluster structures and their contributions.

Findings

Presence of a shoulder in g(r) indicating cluster formation

Identification of intra- and inter-cluster contributions to g(r)

Estimation of average cluster sizes as pairs and triplets

Abstract

Pair-distribution functions g(r) of Laughlin quasielectrons (composite fermions in their second Landau level) are calculated in the fractional quantum Hall states at electron filling factors nu_e=4/11 and 3/8. A shoulder in g(r) is found, supporting the idea of cluster formation. The intra- and inter-cluster contributions to g(r) are identified, largely independent of nu_e. The average cluster sizes are estimated; pairs and triplets of quasielectrons are suggested at nu_e=4/11 and 3/8, respectively.