Bulk-edge coupling in the non-abelian $\nu =5/2$ quantum Hall interferometer

Abstract

Recent schemes for experimentally probing non-abelian statistics in the quantum Hall effect are based on geometries where current-carrying quasiparticles flow along edges that encircle bulk quasiparticles, which are localized. Here we consider one such scheme, the Fabry-Perot interferometer, and analyze how its interference patterns are affected by a coupling that allows tunneling of neutral Majorana fermions between the bulk and edge. While at weak coupling this tunneling degrades the interference signal, we find that at strong coupling, the bulk quasiparticle becomes essentially absorbed by the edge and the intereference signal is fully restored.

5 pages, 1 figure

References in corpus (2)

• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Non-Abelian statistics in the interference noise of the Moore-Read quantum Hall state

Cited by in corpus (4)

• Non-Abelian Anyons and Topological Quantum Computation
• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• Experimental signatures of non-Abelian statistics in clustered quantum Hall states
• Probing the neutral edge modes in transport across a point contact via thermal effects in the Read-Rezayi non-abelian quantum Hall states