Quantum Interference and Entanglement Effects in Hybrid Three-Terminal Splitters

Coherent charge and spin transport of entangled electron waves across a three-terminal setup formed by a charge emitter and two drain wires with a superconducting inset in one of them and a perfect absorber or a spin filter in the other is theoretically discussed. We show that self-controlled charge and spin currents across the device can be realized by employing highly nonlinear dispersion relation in the near-gap energy range of a superconductor.