Indirect Interaction of Magnetic Domain Walls
  We calculate the electron-mediated exchange interaction between two domain walls in magnetic wires. This corresponds to the equilibrium regime and, therefore, the interaction can be additionally controlled by an electric current. The exchange interaction is long ranged and oscillates as a function of the distance between the walls. It also depends oscillatory on the polarization angle of the walls, having the maximum value for collinear polarization. 
N. Sedlmayr, V. K. Dugaev, M. Inglot, and J. Berakdar
cond-mat.mes-hall