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Updated: Aug 24, 2026

A Computer-assisted Multi-electrode Patch-clamp System
Published on: October 18, 2013
Weak localization in multiterminal networks of diffusive wires
Christophe Texier1, Gilles Montambaux
1Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud, Bâtiment 100, F-91405 Orsay Cedex, France.
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.
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