We propose that a device composed of two vertically stacked monolayer
graphene Josephson junctions can be used for Cooper pair splitting. The
hybridization of the Andreev bound states of the two Josephson junction can
facilitate non-local transport in this normal-superconductor hybrid structure,
which we study by calculating the non-local differential conductance. Assuming
that one of the graphene layers is electron and the other is hole doped, we
find that the non-local Andreev reflection can dominate the differential
conductance of the system. Our setup does not require the precise control of
junction length, doping, or superconducting phase difference, which could be an
important advantage for experimental realization.Comment: Main text + supplementar
