Inelastic scattering time in two-dimensional disordered metals

Abstract

The particle-particle diffusion propagator is evaluated diagrammatically in two dimensions in the presence of inelastic scattering due to screened Coulomb interactions. As expected, an inelastic scattering rate $\frac{1}{{\tau }_{\epsilon }}\propto T\ln T$ cuts off the backscattering divergence responsible for localization. The ${\tau }_{\epsilon }$ thus determined is the same as the quasiparticle lifetime determined from the self-energy of the one-particle Green's function.