Current-induced dynamics in a skyrmion lattice

Current-induced motion of domains is an important consideration in magnetic storage design [1]. The recent observation of current-induced rotation of magnetic textures in MnSi (see Fig. 1 for a representative hexagonal skyrmion lattice) has focused interest in noncentrosymmetric ferromagnets since the current densities involved were orders of magnitude lower than those in similar magnetic materials [2]. A standard theoretical tool in dealing with such systems is the phenomenological Landau-Lifshitz-Gilbert (LLG) equation whose fundamental variable is the magnetization M(r, t) or spin in the material [3, 4].