Nonlinear ac conductivity of interacting 1d electron systems

We consider low energy charge transport in one-dimensional (1d) electron systems with short range interactions under the influence of both periodic and random potentials. Combining RG and instanton methods, we calculate the nonlinear ac conductivity and discuss the crossover between the nonanalytic field dependence of the electric current at zero frequency and the linear ac conductivity at small electric fields and finite frequency.