{
  "id": "cond-mat/9904112",
  "version": "v1",
  "published": "1999-04-08T16:04:25.000Z",
  "updated": "1999-04-08T16:04:25.000Z",
  "title": "Persistent currents on graphs",
  "authors": [
    "M. Pascaud",
    "G. Montambaux"
  ],
  "comment": "4 pages, 3 figures, to appear in Physical Review Letters",
  "journal": "Phys. Rev. Lett. 83, 1076 (1999)",
  "doi": "10.1103/PhysRevLett.82.4512",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-04-08T16:04:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "persistent currents",
      "clean 1d wires",
      "field derivatives",
      "orbital magnetism",
      "transport properties"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}