Nonlinear ac conductivity of interacting 1d electron systems

TL;DR

This paper investigates the nonlinear ac conductivity in one-dimensional interacting electron systems with disorder, using RG and instanton techniques to analyze the crossover between different transport regimes.

Contribution

It introduces a combined RG and instanton approach to calculate nonlinear ac conductivity and explores the crossover behavior in disordered 1d electron systems.

Findings

Derived the nonlinear ac conductivity using RG and instanton methods.

Identified the crossover between nonanalytic zero-frequency response and linear finite-frequency response.

Provided theoretical insights into charge transport in disordered 1d systems.

Abstract

We consider low energy charge transport in one-dimensional (1d) electron systems with short range interactions under the influence of a random potential. 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.