Josephson effect in superconducting constrictions with hybrid SF electrodes: peculiar properties determined by the misorientation of magnetizations

Josephson current in SFcFS junctions with arbitrary transparency of the constriction (c) is investigated. The emphasis is done on the analysis of the supercurrent dependencies on the misorientation angle $\theta$ between the in-plane magnetizations of diffusive ferromagnetic layers (F). It is found that the current-phase relation $I(\varphi)$ may be radically modified with the $\theta$ variation: the harmonic $I_1\sin\varphi$ vanishes for definite value of $\theta$ provided for identical orientation of the magnetizations ($\theta=0$) the junction is in the "$\pi$" state. The Josephson current may exhibit a nonmonotonic dependence on the misorientation angle both for realization of "$0$" and "$\pi$" state at $\theta=0$. We also analyze the effect of exchange field induced enhancement of the critical current which may occur in definite range of $\theta$.