Properties of a multiterminal superconducting nanostructure with a double quantum dot

We study the charge transport and thermoelectric properties of a junction comprising a double quantum dot embedded in $\mathsf{T}$-shaped geometry on the interface between two normal/ferromagnetic electrodes and a superconducting lead. We show that the interdot coupling plays a major role in controlling the local and nonlocal transport properties of this setup. For the weak interdot coupling limit, we obtain the interferometric (Fano-type) line shapes imprinted in the quasiparticle spectra, conductances, and Seebeck coefficients. In contrast, for strong interdot coupling, we predict that the local and nonlocal transport coefficients are primarily dependent on the molecular Andreev bound states induced by the superconducting proximity effect simultaneously in both quantum dots.