Transport in Luttinger Liquids
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 , where is the temperature. We compare this results with the standard variable range hopping (VRH) formula.
Cite
@article{arxiv.cond-mat/0403487,
title = {Transport in Luttinger Liquids},
author = {T. Giamarchi and T. Nattermann and P. Le Doussal},
journal= {arXiv preprint arXiv:cond-mat/0403487},
year = {2015}
}
Comments
Proceedings of the EURESCO Conference "Fondamental Problems of Mesoscopic Physics", Granada, Spain (Sept. 2003), to be published by Kluwer