Non-Abelian statistics in the interference noise of the Moore-Read quantum Hall state

TL;DR

This paper proposes a feasible experimental approach to detect non-abelian anyons in the u=5/2 quantum Hall state through noise oscillation measurements, predicting distinct frequency signatures as evidence.

Contribution

It introduces a practical measurement scheme and theoretical predictions for identifying non-abelian statistics in the Moore-Read quantum Hall state.

Findings

Distinct frequency dependences of interference noise predicted

Voltage and temperature dependence characterized

Provides a test for the non-abelian nature of u=5/2 state

Abstract

We propose noise oscillation measurements in a double point contact, accessible with current technology, to seek for a signature of the non-abelian nature of the \nu=5/2 quantum Hall state. Calculating the voltage and temperature dependence of the current and noise oscillations, we predict the non-abelian nature to materialize through a multiplicity of the possible outcomes: two qualitatively different frequency dependences of the nonzero interference noise. Comparison between our predictions for the Moore-Read state with experiments on \nu=5/2 will serve as a much needed test for the nature of the \nu=5/2 quantum Hall state.