Probing non-Abelian statistics with Majorana fermion interferometry in spin-orbit-coupled semiconductors

Probing non-Abelian statistics with quasiparticle interferometry.

We examine interferometric experiments in systems that exhibit non-Abelian braiding statistics, expressing outcomes in terms of the modular S-matrix. In particular, this result applies to fractional quantum Hall interferometry, and we give a detailed treatment of the Read-Rezayi states, providing explicit predictions for the recently observed nu = 12/5 plateau.

Majorana Fermion Induced Non-local Current Correlations in Spin-orbit Coupled Superconducting Wires

Recent observation of zero bias conductance peaks in semiconductor wire/superconductor heterostructures has generated great interest, and it is in hot debate if the observation is associated with Majorana fermions (MFs). Here we study the local and crossed Andreev reflections in a junction of two normal leads and a sand­ wiched superconductor­ semiconductor wire with two spatially separated but...

Title Majorana fermion induced nonlocal current correlations in spin- orbit coupled superconducting wires

Probing non-abelian statistics of Majorana fermions in ultracold atomic superfluid.

We propose an experiment to directly probe the non-abelian statistics of Majorana fermions by braiding them in an s-wave superfluid of ultracold atoms. We show that different orders of braiding operations give orthogonal output states that can be distinguished through Raman spectroscopy. Realization of Majorana states in an s-wave superfluid requires strong spin-orbital coupling and a controlla...

Majorana Fermoins and Non-Abelian Statistics in Three Dimensions

We show that three dimensional superconductors, described within a Bogoliubov–de Gennes framework, can have zero energy bound states associated with pointlike topological defects. The Majorana fermions associated with these modes have non-Abelian exchange statistics, despite the fact that the braid group is trivial in three dimensions. This can occur because the defects are associated with an o...