Laboratoire de Physique Théorique

de la Matière Condensée

Aurélien Grabsch (LPTMC)

Electrical detection of non-Abelian statistics in topological superconductors

 

(Séminaire zoom: https://zoom.us/j/93941768511?pwd=MDhHUE1zTGRWNUJLUUQvRWU0MllGZz09 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.


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
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)