Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states

TL;DR

This paper investigates how Coulomb blockade peak patterns in quantum dots can reveal non-Abelian statistics in Read-Rezayi states, distinguishing them from Laughlin states through magnetic field-dependent modulations.

Contribution

It demonstrates that Coulomb blockade peak spacings are modulated by non-Abelian statistics in Read-Rezayi states, providing a potential experimental probe.

Findings

Laughlin states show equally spaced Coulomb peaks

Read-Rezayi states exhibit modulated peak spacings depending on magnetic field

Modulations indicate non-Abelian anyonic statistics

Abstract

We consider a quantum dot in the regime of the quantum Hall effect, particularly in Laughlin states and non-Abelian Read-Rezayi states. We find the location of the Coulomb blockade peaks in the conductance as a function of the area of the dot and the magnetic field. When the magnetic field is fixed and the area of the dot is varied, the peaks are equally spaced for the Laughlin states. In contrast, non-Abelian statistics is reflected in modulations of the spacing which depend on the magnetic field.