Current-Driven Motion of Magnetic Domain Wall with Many Bloch Lines

The current-driven motion of a domain wall (DW) in a ferromagnet with many Bloch lines (BLs) via the spin transfer torque is studied theoretically. It is found that the motion of BLs changes the current-velocity (j-v) characteristic considerably. In particular, the critical current density for overcoming the pinning force is even lower than that of a skyrmion by the factor of the Gilbert damping coefficient a. This is in sharp contrast to the case of magnetic-field-driven motion, where the existence of BLs reduces the mobility of the DW.