Laboratoire de Physique Théorique

de la Matière Condensée

Aurélien Grabsch (LPTMC)

Electrical detection of non-Abelian statistics in topological superconductors


(Séminaire zoom: ID de réunion : 939 4176 8511 Code secret : 718320)


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.


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
SciPost Phys. 8, 013 (2020)

Half-integer charge injection by a Josephson junction without excess noise
F. Hassler, A. Grabsch, M. J. Pacholski, D. O. Oriekhov, O. Ovdat, I. Adagideli, and C. W. J. Beenakker
Phys. Rev. B 102, 045431 (2020)