Kohn-Luttinger superconductivity of two-dimensional electrons in the presence of Rashba spin-orbit coupling

We consider a two-dimensional(2D) system of fermions with weak short-range repulsive interac- tion in the presence of Rashba Spin-Orbit coupling(SOC). We show that although Kohn-Luttinger instability in 2D in the absence of SOC occurs only to third order in the interaction, it occurs to second order in the presence of SOC. The critical temperature of the p-wave transition is calculated.