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Deterministic Creation and Braiding of Chiral Edge Vortices

C. W. J. BeenakkerInstituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, NetherlandsPaul BaireutherInstituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, NetherlandsYaroslav HerasymenkoInstituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, Netherlandsİnanç AdagideliFaculty of Engineering and Natural Sciences, Sabanci University, Orhanli-Tuzla, 34956 Istanbul, TurkeyLin WangKavli Institute of Nanoscience, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, NetherlandsAnton AkhmerovKavli Institute of Nanoscience, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, Netherlands

2019en

ABI

Annotatsiya

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.

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Identifikatorlar

DOI: 10.1103/physrevlett.122.146803

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