Persistent Currents on Networks
Abstract
We develop a method to calculate persistent currents and their spatial distribution (and transport properties) on graphs made of quasi1D 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 noninteracting current of the same graph with clean 1D wires. A similar relation exists for orbital magnetism in general.
 Publication:

Physical Review Letters
 Pub Date:
 May 1999
 DOI:
 10.1103/PhysRevLett.82.4512
 arXiv:
 arXiv:condmat/9904112
 Bibcode:
 1999PhRvL..82.4512P
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 4 pages, 3 figures, to appear in Physical Review Letters