13 Jun 2023 Tue 5 pm

A striking series of experiments have observed superconductivity in Bernal-stacked bilayer graphene under conditions where the energy bands are flattened by applying an electrical displacement field. Intriguingly, the superconductor only appears at  non-zero magnetic fields, or in settings when spin-orbit coupling is induced by coupling to a substrate. We present a functional renormalization group study of superconductivity in Bernal graphene that provides a unified explanation for the superconducting mechanism in both cases. We identify a purely electronic instability of the Kohn-Luttinger type, which can be triggered either by magnetic fields or Ising spin-orbit coupling, naturally explaining the behaviour seen in experiments.

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