Intervalley coherence and superconductivity in spin-orbit-coupled bilayer graphene

We perform a comprehensive self-consistent Hartree-Fock study of the ground state phase diagram of Bernal bilayer graphene in the presence of long-range Coulomb interactions, short-range Hund's coupling and proximity-induced spin-orbit coupling. We uncover a family of correlated metals potentially susceptible to Cooper pairing, including various flavors of intervalley coherent states with contrasting spin textures and Fermi surface degeneracies. Combining insights from recent transport, compressibility and scanning SQUID experiments, we propose a plausible phase diagram for bilayer graphene deposited on WSe2 and comment on the enhancement of superconductivity observed in this system.