3 years ago

Deterministic creation and braiding of chiral edge vortices.

C.w.j. Beenakker, P. Baireuther, Y. Herasymenko, I. Adagideli, Lin Wang, A.r. Akhmerov

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 ($\pi$-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.

Publisher URL: http://arxiv.org/abs/1809.09050

DOI: arXiv:1809.09050v2

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