Topological superconductors can support quasiparticle excitations which present unusual exchange statistics, called non-Abelian anyons. They correspond to midgap states localized in the core of a vortex or bound to the end of a nanowire. However, their unusual statistics cannot be easily demonstrated as they are immobile, and one should rely on indirect methods. Here, we propose a real space alternative which relies on the chiral motion along the edges of a topological superconductor. We present an approach which allows to inject on demand so-called edge vortices, which are pi-phase domain walls which propagate along the chiral edge channels, and possess non-Abelian statistics. We show that the signatures of this unusual exchange statistics can be detected in an electrical measurement.

References:

Electrical detection of the Majorana fusion rule for chiral edge vortices in a topological superconductor

C.W.J Beenakker, A. Grabsch, Y. Herasymenko

SciPost Phys. 6, 022 (2019)

Time-resolved electrical detection of chiral edge vortex braiding

I. Adagideli, F. Hassler, A. Grabsch, M. Pacholski, C.W.J. Beenakker

arXiv:1907.02422