Persistent currents on graphs
Mesoscale and Nanoscale Physics
2009-10-31 v1
Abstract
We develop a method to calculate the persistent currents and their spatial distribution (and transport properties) on graphs made of quasi-1D diffusive wires. They are directly related to the field derivatives of the determinant of a matrix which describes the topology of the graph. In certain limits, they are obtained by simple counting of the nodes and their connectivity. We relate the average current of a disordered graph with interactions and the non-interacting current of the same graph with clean 1D wires. A similar relation exists for orbital magnetism in general.
Cite
@article{arxiv.cond-mat/9904112,
title = {Persistent currents on graphs},
author = {M. Pascaud and G. Montambaux},
journal= {arXiv preprint arXiv:cond-mat/9904112},
year = {2009}
}
Comments
4 pages, 3 figures, to appear in Physical Review Letters