Effect of current on energy barrier for DW pinning

Electric Current Effect on the Energy Barrier of Magnetic DomainWall Depinning: Origin of the Quadratic Contribution.
Kab-Jin Kim, Jisu Ryu, Gi-Hong Gim, Jae-Chul Lee, Kyung-Ho Shin, Hyun-Woo Lee, and Sug-Bong Choe
Phys. Rev. Lett. 107, 217205 (2011)

(a) Two-dimensional map of E_B as a function of H and J. (b) E_B vs J at several bias H. The solid lines are the best fit with Eq. (2).