Superconductivity from repulsive interactions in Bernal-stacked bilayer graphene

The authors propose here a simple three-pocket model for Kohn-Luttinger type interaction-driven superconductivity in untwisted ``Bernal-stacked'' bilayer graphene. The Cooper pairing results from overscreening of the purely repulsive Coulomb interaction, leading to $p$-wave superconductivity. The three-pocket model is substantiated by both random phase approximation and functional renormalization group calculations. These show that the proposed mechanism can account for the unusual behaviour seen in experiments, where superconductivity only emerges under application of an in-plane magnetic field or proximity-induced spin-orbit coupling.