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
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.