Deterministic creation and braiding of chiral edge vortices

Deterministic creation and braiding of chiral edge vortices

Beenakker, C.W.J. (Universiteit Leiden)
Baireuther, P. (Universiteit Leiden)
Herasymenko, Y. (Universiteit Leiden)
Adagideli, I. (Sabancı University)
Wang, L. (TU Delft QN/Akhmerov Group; Kavli institute of nanoscience Delft)
Akhmerov, A.R. (TU Delft QN/Akhmerov Group; Kavli institute of nanoscience Delft)

2019

Majorana zero modes in a superconductor are midgap states localized in the core of a vortex or bound to the end of a nanowire. They are anyons with non-Abelian braiding statistics, but when they are immobile one cannot demonstrate this by exchanging them in real space and indirect methods are needed. As a real-space alternative, we propose to use the chiral motion along the boundary of the superconductor to braid a mobile vortex in the edge channel with an immobile vortex in the bulk. The measurement scheme is fully electrical and deterministic: Edge vortices (π-phase domain walls) are created on demand by a voltage pulse at a Josephson junction and the braiding with a Majorana zero mode in the bulk is detected by the charge produced upon their fusion at a second Josephson junction.

http://resolver.tudelft.nl/uuid:5c6f820d-aaa4-42ea-9827-3e794de6ba0b

https://doi.org/10.1103/PhysRevLett.122.146803

0031-9007

Physical Review Letters, 122 (14)

Institutional Repository

journal article

© 2019 C.W.J. Beenakker, P. Baireuther, Y. Herasymenko, I. Adagideli, L. Wang, A.R. Akhmerov