Proposed experiments to probe the non-abelian \nu=5/2 quantum Hall state

TL;DR

This paper proposes experiments to test the non-abelian nature of quasi-particles in the =5/2 fractional quantum Hall state, focusing on interference effects and thermodynamic properties, with robustness against disorder.

Contribution

It introduces specific experimental setups to probe non-abelian anyons in the =5/2 state, enhancing testability and robustness against disorder.

Findings

Interference experiments can reveal non-abelian statistics.

Thermodynamic measurements provide complementary evidence.

Experiments are resilient to disorder effects.

Abstract

We propose several experiments to test the non-abelian nature of quasi-particles in the fractional quantum Hall state of \nu=5/2. One set of experiments studies interference contribution to back-scattering of current, and is a simplified version of an experiment suggested recently. Another set looks at thermodynamic properties of a closed system. Both experiments are only weakly sensitive to disorder-induced distribution of localized quasi-particles.