Current-Phase Relation in Josephson Junctions with Complex Ferromagnetic/Normal Metal Interlayers

In the frame of Usadel equation the two-dimensional nonlinear boundary problem for heterostructures with complex ferromagnetic (F)/normal metal (N) interlayer has been solved numerically for arbitrary values of electrodes spacing L, thickness dN and dF of N and F films. We calculate the current-phase relations for ramp-type S-NF-S and overlap-type SFN-FN-NFS junctions. We have found the range of parameters providing an opportunity for realization of Josephson φ-junction based on the considered structures.

ODD FREQUENCY TRIPLET PAIRING COMPONENTS IN F/S/F TRILAYERS

We calculate the singlet and triplet pairing components of F/S/F trilayers by solving the Usadel equation in the dirty limit. Here, S is a conventional singlet s-wave superconductor like Nb and F is a ferromagnet like CoFe . A particular focus is on the odd frequency triplet pairing components which have a long length scale in F region unlike the singlet pairing component. The triplet components in F/S/F are induced by the broken time reversal symmetry and the proximity effects. The cases of parallel and perpendicular orientations of the two F's are calculated and discussed for the fingerprint of the odd frequency triplet pairing components.