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Landauer-type transport theory for interacting quantum wires: Application to carbon nanotube Y junctions

S. Chen·B. Trauzettel·R. Egger
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Abstract

We propose a Landauer-like theory for nonlinear transport in networks of one-dimensional interacting quantum wires (Luttinger liquids). A concrete example of current experimental focus is given by carbon nanotube Y junctions. Our theory has three basic ingredients that allow to explicitly solve this transport problem: (i) radiative boundary conditions to describe the coupling to external leads, (ii) the Kirchhoff node rule describing charge conservation, and (iii) density matching conditions at every node.

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S. Chen, B. Trauzettel, R. Egger. 2002-10-07. Landauer-type transport theory for interacting quantum wires: Application to carbon nanotube Y junctions. https://doi.org/10.1103/physrevlett.89.226404

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