Signatures of non-Abelian statistics in non-linear coulomb blockaded transport

TL;DR

This paper predicts how non-Abelian quasi-particle statistics manifest in the current-voltage behavior of tunneling through quantum Hall puddles at specific filling factors, providing potential experimental signatures.

Contribution

It introduces a theoretical framework to identify non-Abelian statistics via non-linear Coulomb blockade transport measurements in quantum Hall systems.

Findings

Predicted distinct current-voltage signatures for non-Abelian quasi-particles.

Identified specific filling factor configurations where signatures are observable.

Provided a basis for experimental detection of non-Abelian anyons.

Abstract

Signatures of the non-Abelian statistics of quasi-particles in the $\nu=5/2$ quantum Hall state are predicted to be present in the current-voltage characteristics of tunneling through one or two quantum Hall puddles of Landau filling $\nu_a$ embedded in a bulk of filling $\nu_b$ with $(\nu_a,\nu_b)=(2,5/2)$ and $(\nu_a,\nu_b)=(5/2,2)$.