Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene

We discuss a Kohn-Luttinger-like mechanism for superconductivity in Bernal bilayer graphene and rhombohedral trilayer graphene. Working within the continuum model description, we find that screened long-range Coulomb interaction alone gives rise to with critical temperatures agree experiments. observe order parameter changes sign between valleys, which implies both materials are valley-singlet, spin-triplet superconductors. Adding Ising spin-orbit coupling leads significant enhancement temperature, also line experiment, superconducting shows locking spin valley degrees of freedom.