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Dresden 2020 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 65: Poster Session Topological Topics

TT 65.17: Poster

Donnerstag, 19. März 2020, 15:00–19:00, P2/EG

Majorana zero modes in skyrmion-vortex pairs — •Jonas Nothhelfer1,2, Kjetil Hals3, Matteo Rizzi4,5, and Karin Everschor-Sitte11Institut für Physik, JGU Mainz — 2MPGC Mainz — 3University of Agder, Grimstad, Norway — 4Institute of Complex Systems, Forschungszentrum Jülich — 5Institute for Theoretical Physics, Universität zu Köln

Ferromagnet-superconductor heterostructures allow for composite topological excitations such as skyrmion-vortex pairs [1], which can support the occurrence of localized Majorana bound states [2,3]. The non-abelian exchange statistics of Majorana modes makes them promising candidates for topological quantum computation. Our goal is to controllably braid Majorana modes via manipulating the skyrmions in such ferromagnet-superconductor composite topological excitations. To this end, 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 the Majorana zero modes can be efficiently braided via the skyrmions using spintronic techniques.

[1] Kjetil Hals et al., PRL 117, 017001 (2016)

[2] Jonas Nothhelfer, Master Thesis

[3] Stefan Rex et al., PRB 100, 064504 (2019)

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