Cross-Correlations in Transport through a Quantum Dot Cooper Pair Splitter Asymmetrically Coupled to Normal Leads

We investigate transport properties of a quantum dot-based Cooper pair splitter with two ferromagnetic leads and one superconducting electrode. The transport quantities of the system are calculated utilizing the real-time diagrammatic technique in the sequential tunneling regime. Particularly, we calculate the Andreev current and corresponding current cross-correlations, i.e. correlations between currents flowing through two junctions with normal leads. Main goal of the paper are studies on the influence of asymmetry in couplings to the normal leads and its magnetism on the Andreev transport.