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Landauer-Type Transport Theory for Interacting Quantum Wires: Application to Carbon Nanotube Y Junctions

2002/07/31 by S. Chen, Shu Chen, Björn Trauzettel +3 · 8 citations
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Graphene research and applications #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.89.226404

published as Phys. Rev. Lett. 89, 226404 (2002) · final version, to be published in PRL

arxiv created 2002/10/07 · openalex publication_date 2002/11/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a Landauerlike 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 one 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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