Cooper pair splitting in diffusive magnetic SQUIDs
We study Josephson junctions with weak links consisting of two parallel disordered arms with magnetic
properties: ferromagnetic, half-metallic, or normal with magnetic impurities. In the case of long links, the
Josephson effect is dominated by mesoscopic fluctuations. In this regime, the system realizes a phi_0 junction with
sample-specific phi_0 and critical current. Cooper pair splitting between the two arms plays a major role and leads
to 2*Phi_0 periodicity of the current as a function of flux between the arms. We calculate the current and its flux and
polarization dependence for the three types of magnetic links.