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

V. Ponomarenko
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Abstract

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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V. Ponomarenko. 1995-07-31. Is there a renormalization of the 1D conductance in Luttinger Liquid model?. https://doi.org/10.1103/physrevb.52.r8666

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