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Weak Localization in Multiterminal Networks of Diffusive Wires

2003/12/02 by Christophe Texier, Gilles Montambaux
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.92.186801

published as Physical Review Letters 92 (2004) 186801 · 4 pages, LaTeX, 4 figures, 8 eps files

arxiv created 2003/12/02 · openalex publication_date 2004/05/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the quantum transport through networks of diffusive wires connected to reservoirs in the Landauer-Büttiker formalism. The elements of the conductance matrix are computed by the diagrammatic method. We recover the combination of classical resistances and obtain the weak localization corrections. For arbitrary networks, we show how the Cooperon must be properly weighted over the different wires. Its nonlocality is clearly analyzed. We predict a new geometrical effect that may change the sign of the weak localization correction in multiterminal geometries.

Citations