Self-induced interaction of magnetic domains and bubbles with a neighboring current

It was recently pointed out that magnetic domains tend to move parallel with the current in a nearby conductor; the motion is due to Hall currents set up in the conductor by the domain field and is independent of any field gradients due to the unperturbed current. The magnitude of the force that produces this drift is here calculated for the cases of a single straight domain wall and of a circular magnetic bubble. The force is found to be strong enough to produce controlled motion of a magnetic bubble, provided that the magnetic material is optically flat and the current carriers in the conductor have a high mobility.