Landauer Conductance of Luttinger Liquids with Leads

TL;DR

This paper demonstrates that the dc conductance of a Luttinger liquid wire connected to non-interacting leads remains quantized at e^2/h per spin, unaffected by interactions, explaining recent experimental observations.

Contribution

It provides a theoretical explanation for the unchanged conductance in interacting Luttinger liquids with leads, aligning with experimental results.

Findings

Conductance remains at e^2/h per spin regardless of interactions.

Explains absence of conductance renormalization in high-mobility GaAs wires.

Supports recent experimental observations by Tarucha et al.

Abstract

We show that the dc conductance of a quantum wire containing a Luttinger liquid and attached to non-interacting leads is given by $e^2/h$ per spin orientation, regardless of the interactions in the wire. This explains the recent observations of the absence of conductance renormalization in long high-mobility $GaAs$ wires by Tarucha, Honda and Saku (Solid State Communications {\bf 94}, 413 (1995)).