Finite-frequency conductivity of nonlinear Luttinger liquid in smooth random potential
The paper investigates how a one-dimensional degenerate Fermi liquid, modeled as a Luttinger liquid with smooth random disorder and interactions, conducts electricity at finite frequencies. It finds that conductivity splits into two parts: an elastic component largely independent of temperature and interaction, and an inelastic component strongly dependent on temperature, frequency, curvature, disorder strength, and interaction.