The single impurity problem with interactions in two dimensions

We study the behaviour of a single impurity potential V_imp within a combined method of renormalization group and bosonization in two dimensions. For repulsive interactions the 2K_F backscattering components of the impurity potential are enhanced with respect to the other angles. We estimate the corrections to the conductivity as a function of E_F/T. For E_F/T → ∞ we obtain similar results as in the non-interacting case. At finite temperatures, we obtain results controlled by the interactions. Here we identify a range of temperatures in which the conductivity increases with the lowering of the temperature.