Off-centered immobile magnetic vortex under influence of spin-transfer torque

Equilibrium magnetization distribution of the vortex state magnetic nanoparticle is affected by the influence of the spin-transfer torque: an off-center out--of--plane vortex appears in the case of the disk shape particle and pure planar vortex in the case of asymmetric ring shape particle. The spin current causes extra out-of-plane magnetization structures identical to well known dip structures for the moving vortex. The shape of the dip structure depends on the current strength and value of the off-center displacement and it does not depend on the vortex polarity. The critical current depends on the nanodot thickness.