Critical current in SFIFS junctions
  Quantitative theory of the Josephson effect in SFIFS junctions (S denotes bulk superconductor, F - metallic ferromagnet, I - insulating barrier) is presented in the dirty limit. Fully self-consistent numerical procedure is employed to solve the Usadel equations at arbitrary values of the F-layers thicknesses, magnetizations, and interface parameters. In the case of antiparallel ferromagnets' magnetizations the effect of the critical current enhancement by the exchange field is observed, while in the case of parallel magnetizations the junction exhibits the transition to the pi-state. In the limit of thin F layers, we study these peculiarities of the critical current analytically and explain them qualitatively; the scenario of the 0-pi transition in our case differs from those studied before. The effect of switching between 0 and pi states by changing the F-layers' mutual orientation is demonstrated. 
A. A. Golubov, M. Yu. Kupriyanov, and Ya. V. Fominov