Is there a renormalization of the 1D conductance in Luttinger Liquid model?

Details Is there a renormalization of the 1D conductance in Luttinger Liquid model? Is there a renormalization of the 1D conductance in Luttinger Liquid model?

1995-07-21

arxiv.org/abs/cond-mat/9507089v2

Phys. Rev. B 52, R8666 (95)

Physics

Condensed Matter

5 pages, RevTex 2.0, attempted repair of tex errors

Scientific paper

10.1103/PhysRevB.52.R8666

Properties of 1D transport strongly depend on the proper choice of boundary conditions. It has been frequently stated that the Luttinger Liquid (LL) conductance is renormalized by the interaction as $g \frac{e^2} {h} $. To contest this result I develop a model of 1D LL wire with the interaction switching off at the infinities. Its solution shows that there is no renormalization of the universal conductance while the electrons have a free behavior in the source and drain reservoirs.

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