Anomalous Josephson effect in S/SO/F/S heterostructures

We study the anomalous Josephson effect, as well as the dependence on the direction of the critical Josephson current, in an S/N/S junction, where the normal part is realized by alternating spin-orbit coupled and ferromagnetic layers. We show that to observe these effects it is sufficient to break spin rotation and time-reversal symmetry in spatially separated regions of the junction. Moreover, we discuss how to further improve these effects by engineering multilayer structures with more that one couple of alternating layers.