Geometry and symmetry in skyrmion dynamics

The uniform motion of chiral magnetic skyrmions induced by a spin-transfer torque displays an intricate dependence on the skyrmions' topological charge and shape. We reveal surprising patterns in this through simulations Landau-Lifshitz-Gilbert equation with Zhang-Li explain them geometric analysis Thiele's equation. In particular, we show that velocity distribution topologically non-trivial depends their symmetry: it is single circle for high symmetry family circles low-symmetry configurations. also trivial skyrmions, previously believed to be fastest objects, can surpassed, instance, antiskyrmions. generality our approach suggests validity results exchange frustrated magnets, bubble materials, others.