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Abstract |
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.
Ref:
- 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) |
