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We study theoretically the dynamics of the spin textures, i.e., Skyrmioncrystal (SkX) and spiral structure (SS), in two-dimensional helical magnetsunder external current. By numerically solving the Landau-Lifshitz-Gilbertequation, it is found that (i) the critical current density of the motion ismuch lower for SkX compared with SS in agreement with the recent experiment,(ii) there is no intrinsic pinning effect for SkX and the deformation of theinternal structure of Skyrmion reduces the pinning effect dramatically, (iii)the Bragg intensity of SkX shows strong time-dependence as can be observed byneutron scattering experiment.

Theory of current-driven motion of Skyrmions and spirals in helical magnets