Superconductivity in unbounded chern bands

In this work, we will discuss weak coupling superconductivity in unbounded Chern bands. We will show that as we increase the Berry curvature at the Fermi level, the angular momentum of the dominant pairing channel also increases. We will also discuss the similarities and differences between weak coupling pairing from attractive interactions and pairing from repulsive interactions (i.e., from the Kohn Luttinger mechanism) in the presence of Berry curvature.