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We study the crossed Andreev reflection and the nonlocal transport in theproximitized graphene/supercondcutor/proximitized graphene junctions with thepseudospin staggered potential and the intrinsic spin-orbit coupling. Thecrossed Andreev reflection with the local Andreev reflection and the elasticcotunneling being completely eliminated can be realized for the electrons withthe specific spin-valley index when the intrinsic spin-orbit couplings in theleft graphene and the right graphene possess the opposite sign. The perfectcrossed Andreev reflection with its probability equal to $100\%$ can beobtained in the space consisting of the incident angle and the energy of theelectrons. The crossed conductance and its oscillation with the superconductorlength are also investigated. The energy ranges for the crossed Andreevreflection without the local Andreev reflection and the elastic cotunneling areclarified for the different magnitudes of the pseudospin potential and thespin-orbit coupling. The spin-valley index of the electrons responsible for theperfect crossed Andreev reflection can be switched by changing the sign of theintrinsic spin-orbit coupling or exchanging the biases applied on the leftgraphene and the right graphene. Our results are helpful for designing theflexible and high-efficiency Cooper pair splitter based on the spin-valleydegree of freedom.

Perfect crossed Andreev reflection in the proximitized graphene/superconductor/proximitized graphene junctions