%0 Journal Article %T Phenomenology of current-skyrmion interactions in thin films with perpendicular magnetic anisotropy %A M. E. Knoester %A Jairo Sinova %A R. A. Duine %J Physics %D 2013 %I arXiv %R 10.1103/PhysRevB.89.064425 %X We study skyrmions in magnetic thin films with structural inversion asymmetry perpendicular to the film plane. We determine the magnetization texture of a single skyrmion and its dependence on the strength of the Dzyaloshinskii-Moriya interaction relative to the magnetostatic energy. Furthermore, we construct a phenomenological model that describes the interaction between the motion of skyrmions and electric currents to lowest order in spin-orbit coupling. We estimate the experimental verifiable velocities for current-driven motion of skyrmion textures based on available results obtained from domain walls dynamics. %U http://arxiv.org/abs/1310.2850v2