Aharonov-Bohm effect in the non-Abelian quantum Hall fluid

TL;DR

This paper proposes tunneling measurements in an Aharonov-Bohm setup to identify the non-Abelian Moore-Read state in the fractional quantum Hall effect at filling factor 5/2, aiding topological quantum computing research.

Contribution

It introduces a conformal field theory-based approach to predict tunneling signatures of the non-Abelian 5/2 quantum Hall state in an Aharonov-Bohm geometry.

Findings

Proposes a tunneling measurement scheme for the 5/2 state.

Provides theoretical signatures of non-Abelian quasiparticles.

Lays groundwork for experimental characterization of the state.

Abstract

The nu=5/2 fractional quantum Hall effect state has attracted great interest recently, both as an arena to explore the physics of non-Abelian quasiparticle excitations, and as a possible architecture for topological quantum information processing. Here we use the conformal field theoretic description of the Moore-Read state to provide clear tunneling signatures of this state in an Aharonov-Bohm geometry. While not probing statistics directly, the measurements proposed here would provide a first, experimentally tractable step towards a full characterization of the 5/2 state.