Weak localization in multiterminal networks of diffusive wires

Details Weak localization in multiterminal networks of diffusive wires Weak localization in multiterminal networks of diffusive wires

2003-12-02

arxiv.org/abs/cond-mat/0312060v1

Physical Review Letters 92 (2004) 186801

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, LaTeX, 4 figures, 8 eps files

Scientific paper

10.1103/PhysRevLett.92.186801

We study the quantum transport through networks of diffusive wires connected to reservoirs in the Landauer-B\"uttiker 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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