Dynamical and scaling properties of nu=5/2 interferometer

TL;DR

This paper analyzes the non-linear tunneling behavior in a $ u=5/2$ fractional quantum Hall state, focusing on how non-abelian quasiparticles affect interference patterns in a two-point-contact setup.

Contribution

It provides detailed calculations of I-V tunneling curves with and without non-abelian quasiparticles, revealing their impact on interference in the $ u=5/2$ state.

Findings

Presence of $e/4$ quasiparticle destroys interference.

Interference reappears as quasiparticle approaches the edge.

Calculated non-linear I-V tunneling curves for different quasiparticle configurations.

Abstract

We calculate the non-linear I-V tunneling curves for a two-point-contact tunneling junction between two edges of the $\nu={5/2}$ non-abelian fractional quantum Hall state. The non-linear I-V tunneling curves are calculated for both cases with and without an $e/4$ non-abelian quasiparticle between the two contacts. We confirm that, within a dynamical edge theory, the presence of the $e/4$ quasiparticle between the two contacts destroys the interference between the two tunneling paths. We also calculate how the interference reappears as the $e/4$ quasiparticle is moved closer to an edge.