Charge and currents distribution in graphs
arXiv:cond-mat/0304182 · doi:10.1088/0305-4470/36/50/005
Abstract
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.
30 pages, 8 figures, LaTeX; added references
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- Wigner-Smith time-delay matrix in chaotic cavities with non-ideal contacts
- Local Friedel sum rule on graphs
- Direct computation of scattering matrices for general quantum graphs
- Infinite networks and variation of conductance functions in discrete Laplacians
- Wigner-Smith matrix, exponential functional of the matrix Brownian motion and matrix Dufresne identity
- On the spectrum of the Laplace operator of metric graphs attached at a vertex -- Spectral determinant approach