Mutual Exclusion Statistics Between Quasiparticles in the Fractional Quantum Hall Effect

TL;DR

This paper proposes a new mutual exclusion statistics model for quasiparticles in the fractional quantum Hall effect, supported by numerical evidence and rooted in a novel hard-core constraint arising from quasiparticle correlations.

Contribution

It introduces a new assignment for mutual exclusion statistics between quasielectrons and quasiholes, backed by numerical data and a physical explanation involving a hard-core constraint.

Findings

Numerical evidence supports the new mutual exclusion statistics assignment.

The physical origin is linked to a hard-core constraint from quasiparticle correlations.

The model advances understanding of quasiparticle interactions in fractional quantum Hall systems.

Abstract

In this paper we propose a new assignment for mutual exclusion statistics between quasielectrons and quasiholes in the fractional quantum Hall effect. In addition to providing numerical evidence for this assignment, we show that the physical origin of this mutual statistics is a novel hard-core constraint due to correlation between the distinguishable vortex-like quasiparticles.