Transport in Luttinger Liquids
arXiv:cond-mat/0403487 · doi:10.1007/1-4020-2193-3_16
Abstract
We compute the transport properties of one dimensional interacting electrons, also known as a Luttinger liquid. We show that a renormalization group study allows to obtain the temperature dependence of the conductivity in an intermediate temperature range. In this range the conductivity has a power-law like dependence in temperature. At low temperatures, the motion proceed by tunnelling between localized configurations. We compute this tunnelling rate using a bosonization representation and an instanton technique. We find a conductivity $Ï(T) \propto e^{-β^{1/2}}$, where $β$ is the temperature. We compare this results with the standard variable range hopping (VRH) formula.
Proceedings of the EURESCO Conference "Fondamental Problems of Mesoscopic Physics", Granada, Spain (Sept. 2003), to be published by Kluwer