Notable Cooper-pair splitting in a double-quantum-dot structure with two superconductors

In this paper, we study the quantum transport properties in a double-quantum-dot circuit with two laterally-coupled superconductors. It is clearly found that with the adjustment of the phase difference between the superconductors, the electron tunneling and the local and crossed Andreev reflections display different characteristics. This phenomenon can be observed in the linear and nonlinear regimes, even in the presence of Coulomb interaction terms. Moreover, appropriate superconducting phase differences can efficiently enhance the crossed Andreev reflection, accompanied by the suppression of the local Andreev reflection and electron tunneling processes. Therefore, this setup can be used to be a promising device to realize the Cooper-pair splitting.