Weak localization in multiterminal networks of diffusive wires
Mesoscale and Nanoscale Physics
2009-11-10 v1 Disordered Systems and Neural Networks
Abstract
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.
Cite
@article{arxiv.cond-mat/0312060,
title = {Weak localization in multiterminal networks of diffusive wires},
author = {Christophe Texier and Gilles Montambaux},
journal= {arXiv preprint arXiv:cond-mat/0312060},
year = {2009}
}
Comments
4 pages, LaTeX, 4 figures, 8 eps files