“…In coherent modeling, we employ the Landauer approach with Andreev reflection 43,46 for calculating the local thermoelectric current; Lorentzian resonance line shapes are employed for transport in the quantum dots 35,44,47,48 . For the non-local current, we employ a standard crossed Andreev reflection formalism 2,[49][50][51] . In our incoherent theory, based on scattering matrix formalism 1,4,52 , we also include the influence of internal thermally generated current sources and their back-action effect owing to the environmental impedance caused by graphene ribbons.…”