Superconductivity from an incoherent metal in a Yukawa Sachdev-Ye-Kitaev model

Superconductivity emerging out of strongly correlated metal has been a topic of great interest in recent years. A popular class of theories for the onset of superconductivity from a strange metal focus on a normal state which has a Fermi surface coupled to a critical boson. Motivated by a SYK-inspired large N theory of a sharp Fermi surface in two spatial dimensions, we analyze instabilities towards superconducting pairing from an incoherent normal state. We calculate the superconducting transition and other properties of the superconductor, and finally discuss the interplay between superconductivity and a "Planckian" normal state resistivity.