Current induced pressure on a tilted magnetic domain wall

We consider the effect of an electrical current on a magnetic domain wall (DW) in conducting ferromagnets. When the current lines are at normal incidence onto the wall, two relevant physical effects, based on the Hall voltage and direct spin transfer, induce a pressure which is able to move DWs. When the current is not at normal incidence, we show that the Hall effect can generate a local charge on the wall which is subjected to a force from the electric field in the sample. The resulting pressure is quadratic in current, thus independent of its sign, and can dominate at high current densities and in materials with large resistivity and Hall angle. Hence, the effect is particularly relevant for magnetic semiconductors.