Weak localization in multiterminal networks of diffusive wires

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.

4 pages, LaTeX, 4 figures, 8 eps files

References in corpus (4)

• Spectral determinant on quantum graphs
• Persistent currents on graphs
• On the Inequivalence of Weak-Localization and Coherent Backscattering
• Quasiclassical theory of charge transport in disordered interacting electron systems

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