Pair-distribution functions of correlated composite fermions

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 nue=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 nue. The average cluster sizes are estimated; pairs and triplets of quasielectrons are suggested at nue=4/11 and 3/8, respectively.

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