Freiburg 2019 – wissenschaftliches Programm
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FM: Fall Meeting
FM 64: Poster: Topology
FM 64.5: Poster
Mittwoch, 25. September 2019, 16:30–18:30, Tents
Majorana zero modes in skyrmion-vortex pairs — •Jonas Nothhelfer1, Kjetil Hals2, Matteo Rizzi3,4, and Karin Everschor-Sitte1 — 1Institut für Physik, Johannes Gutenberg-Universität Mainz, Germany — 2University of Agder, Grimstad, Norway — 3Institute of Complex Systems, Forschungszentrum Jülich, Germany — 4Institute for Theoretical Physics, Universität zu Köln
Ferromagnet-superconductor heterostructures have been shown to allow for novel topological composite excitations - skyrmion-vortex pairs [1], which support the occurrence of Majorana bound states [2]. Their non-abelian exchange statistics makes Majorana modes suitable for topological quantum computation. Our goal is to study the braiding of Majorana zero modes via the controlled motion of skyrmions. For this we model a magnetic skyrmion imprinted in the ferromagnet and a vortex in the superconductor. We solve the eigensystem of the superconductor in the Bogoliubov-de Gennes formalism self-consistently for the superconducting gap under the influence of the magnetic field generated by the magnetic thin film and spin orbit coupling. As predicted by [1] we reproduce that composite topological excitations can emerge as pairs of superconducting vortices bound to magnetic skyrmions. Exploiting the finite binding energy, we expect that moving the skyrmion via methods from the spintronics toolbox will also induce a motion of the vortex and the Majorana zero mode bound to it. [1] Kjetil M. D. Hals, Michael Schecter and Mark S. Rudner, Physical Review Letters 117, 017001 (2016) [2] Stefan Rex, Igor V. Gornyi, Alexander D. Mirlin, arXiv:1904.04177 (2019)