Superconductivity in the repulsive Rashba model

We study the superconducting instability of a two dimensional Rashba spin-orbit coupled system with a weak repulsive interaction by a two step renormalization group (RG) method introduced by Raghu et.al. (PRB 81, 224505 (2010)). We present the superconducting transition temperature Tc in terms of the correlation functions of the non-interacting system. The RG flows in the Cooper channel break down below some scale, which we identify with Tc and verify that the Tc is independent of the intermediate cutoff. Finally, we present results of Tc as a function of spin-orbit coupling strength.