Transport in Luttinger Liquids

Details Transport in Luttinger Liquids Transport in Luttinger Liquids

2004-03-19

arxiv.org/abs/cond-mat/0403487v1

In "Fundamental Problems of Mesoscopic Physics", p 275, Nato Science Series II Vol. 154, Ed. I. V. Lerner et al. (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

Proceedings of the EURESCO Conference "Fondamental Problems of Mesoscopic Physics", Granada, Spain (Sept. 2003), to be publish

Scientific paper

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 $\sigma(T) \propto e^{-\beta^{1/2}}$, where $\beta$ is the temperature. We compare this results with the standard variable range hopping (VRH) formula.

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