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arXiv · 2110.13983

Steering Majorana braiding via skyrmion-vortex pairs: a scalable platform

Jonas Nothhelfer·Sebastián A. Díaz·Stephan Kessler·Tobias Meng·Matteo Rizzi·Kjetil M. D. Hals·Karin Everschor-Sitte
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Abstract

Majorana zero modes are quasiparticles that hold promise as building blocks for topological quantum computing. However, the litmus test for their detection, the observation of exotic non-abelian statistics revealed by braiding, has so far eluded experimental efforts. Here we take advantage of the fact that skyrmion-vortex pairs in superconductor-ferromagnet heterostructures harboring Majorana zero modes can be easily manipulated in two spatial dimensions. We adiabatically braid the hybrid topological structures and explicitly confirm the non-abelian statistics of the Majorana zero modes numerically using a self-consistent calculation of the superconducting order parameter. Our proposal of controlling skyrmion-vortex pairs provides the necessary leeway toward a scalable topological quantum computing platform.

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Jonas Nothhelfer, Sebastián A. Díaz, Stephan Kessler, Tobias Meng, Matteo Rizzi, Kjetil M. D. Hals, Karin Everschor-Sitte. 2021-10-26. Steering Majorana braiding via skyrmion-vortex pairs: a scalable platform. https://doi.org/10.1103/physrevb.105.224509

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