  A ferromagnetic insulator (FI) attached to a conventional superconductor (S)
changes drastically the properties of the latter. Specifically, the exchange
field at the FI/S interface leads to a splitting of the superconducting density
of states. If S is a superconducting film, thinner than the superconducting
coherence length, the modification of the density of states occurs over the
whole sample. The co-existence of the exchange splitting and superconducting
correlations in S/FI structures leads to striking transport phenomena that are
of interest for applications in thermoelectricity, superconducting spintronics
and radiation sensors. Here we review the most recent progress in understanding
the transport properties of FI/S structures by presenting a complete
theoretical framework based on the quasiclassical kinetic equations. We discuss
the coupling between the electronic degrees of freedom, charge, spin and
energy, under non-equilibrium conditions and its manifestation in
thermoelectricity and spin-dependent transport.
