Spin-resolved crossed Andreev reflection in ballistic heterostructures

We theoretically analyze non-local effects in electron transport across three-terminal ballistic normal–superconducting–normal (NSN) structures with spin-active interfaces. Subgap electrons entering S-electrode from one N-metal may form Cooper pairs with their counterparts penetrating from another N-metal. This phenomenon of crossed Andreev reflection (CAR) is highly sensitive to electron spins and yields a rich variety of properties of non-local conductance which we describe non-perturbatively at arbitrary interface transmissions, voltages and temperatures. Our results can be applied to hybrid structures with normal, ferromagnetic and half-metallic electrodes and can be directly tested in future experiments.