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TT: Fachverband Tiefe Temperaturen

TT 10: Topology: Majorana Physics I

TT 10.5: Talk

Monday, March 18, 2024, 16:00–16:15, H 2053

Exploring Vortex Dynamics in Superconductor-Ferromagnet Heterostructures: From Domain Wall Interactions to Adiabatic Braiding of Majorana Modes — •Jonas Nothhelfer1, Sebastián A. Díaz2, Stephan Kessler3, Tobias Meng4, Matteo Rizzi5,6, Kjetil M. D. Hals7, and Karin Everschor-Sitte11University of Duisburg-Essen — 2University of Konstanz — 3Johannes Gutenberg University of Mainz — 4Technische Universität Dresden — 5Forschungszentrum Jülich — 6University of Cologne — 7University of Agder, Norway

In superconductor-magnet heterostructures, interface-induced spin-orbit coupling can play a vital role in the dynamics of textures in the superconductor and the magnet. We show that magnetic textures like domain walls and skyrmions exhibit a rich interaction spectrum with superconducting vortices. We find that the Rashba spin-orbit coupling induces magnetoelectric interactions between vortices and domain walls, with the domain wall’s helicity determining the interaction: Néel walls push or pull the vortices, and vortices glide along Bloch walls. Furthermore, we show that hybrid excitations of superconducting vortices and magnetic skyrmions can bind Majorana modes that enable quantum computing. By adiabatically braiding these hybrid topological structures, we explicitly confirm the non-Abelian statistics of Majorana zero modes through self-consistent numerical simulations. Our findings provide a crucial basis for controlling superconducting vortices and using them for quantum computing.

[1] Díaz et al. arXiv:2310.06866

[2] Nothhelfer et al. Phys. Rev. B 105 (2022) 224509

Keywords: Superconducting vortices; Domain wall; Skyrmion; Quantum computing; Majorana

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