Metallic quantum critical points with finite BCS couplings

There are many instances where superconductivity seems to emerge from the condensation of a non-Fermi liquid metal in the vicinity of a quantum critical point. The authors of this paper address this problem by studying a Fermi surface coupled to a critical bosonic order parameter within a large-N approach. The ensuing competition between the tendency for pairing and the destruction of Landau quasiparticles is found to result in a novel non-Fermi liquid fixed point with a finite scale invariant BCS coupling.