TRANSPORT AND ELEMENTARY EXCITATIONS OF A LUTTINGER LIQUID

The low-temperature AC conductance of a one-dimensional electron syste m with a strong interaction of finite range is calculated by using lin ear response theory. The conductance factorizes into parts which depen d on the internal properties of the system, and the external probe. Fo r short-range interaction, the result resembles that for non-interacti ng electrons, but with the zero-frequency limit and the Fermi velocity renormalized by the interaction strength. For strong and long-range i nteraction, the conductance shows a peak that is related to charge-wav e excitations. In this limit, the AC conductance can be simulated by a quantum capacitance and a quantum inductance.