Charge and currents distribution in graphs

Details Charge and currents distribution in graphs Charge and currents distribution in graphs

2003-04-08

arxiv.org/abs/cond-mat/0304182v2

J.Phys.A: Math.Gen.36 (2003) 12425-12452

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

30 pages, 8 figures, LaTeX; added references

Scientific paper

10.1088/0305-4470/36/50/005

We consider graphs made of one-dimensional wires connected at vertices, and on which may live a scalar potential. We are interested in a scattering situation where such a network is connected to infinite leads. We study the correlations of the charge in such graphs out of equilibrium, as well as the distribution of the currents in the wires, inside the graph. These quantities are related to the scattering matrix of the graph. We discuss the case where the graph is weakly connected to the wires.

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