Dynamical and scaling properties of nu=5/2 interferometer

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.