Lifetime of racetrack skyrmions

e acknowledge financial support from the Icelandic Research Fund (Grant No. 163048-052), the mega-grant of the Ministry of Education and Science of the Russian Federation (grant no. 14. Y26.31.0015), Goran Gustafsson Foundation, the Russian Foundation for Basic Research (Grant No. 18-02-00267 A), Vetenskapsradet (VR), Carl Tryggers Stiftelse (CTS), the European Union’s Horizon 2020 research and innovation programme (grant agreement no. 665095–FET-Open project MAGicSky), Academy of Finland (grant no. 278260), and SwedishEnergy Agency (STEM). Calculations of skyrmion lifetimes were supported by the Russian Science Foundation (Grant No. 17-72-10195). Some of the computations were performed on resources provided by the Swedish National Infrastructure for Computing (SNIC) at the National Supercomputer Center (NSC), Linkoping University, the PDC Centre for High Performance Computing (PDC-HPC), KTH, and the High Performance Computing Center North (HPC2N), Umea University.