First principles calculation of the spin transfer torques

A first principles method was developed to calculate the spin transfer torques in the noncollinear magnetized system. We found that the behavior of spin torques in a spin valve depends on the materials(Co, Ni and Ni$_{80}$Fe$_{20}$ were taken into account). The formulism is also applied to the anti- ferromagnetic domain wall. It is found that the spin torques could be exerted over a long range in the anti-ferromagnetic materials and move the domain wall away, which can detected by measureing the resistance of an antiferromagnetic point contact.