Year: 1999
Type: article
Abstract: We develop a method to calculate 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 noninteracting current of the same graph with clean 1D wires. A similar relation exists for orbital magnetism in general.
Source: Physical Review Letters
Authors: M. Pascaud, G. Montambaux
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1551489454