{
  "id": "cond-mat/9712256",
  "version": "v2",
  "published": "1997-12-22T15:11:09.000Z",
  "updated": "1998-05-27T13:57:21.000Z",
  "title": "Boundary conditions at the mobility edge",
  "authors": [
    "D. Braun",
    "G. Montambaux",
    "M. Pascaud"
  ],
  "comment": "4 pages of revtex, new figures, new abstract, the text has been changed: The large energy behavior of the number variance has been found to be independent of the boundary conditions",
  "doi": "10.1103/PhysRevLett.81.1062",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "It is shown that the universal behavior of the spacing distribution of nearest energy levels at the metal--insulator Anderson transition is indeed dependent on the boundary conditions. The spectral rigidity $\\Sigma^2(E)$ also depends on the boundary conditions but this dependence vanishes at high energy $E$. This implies that the multifractal exponent $D_2$ of the participation ratio of wave functions in the bulk is not affected by the boundary conditions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1998-05-27T13:57:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary conditions",
      "mobility edge",
      "nearest energy levels",
      "metal-insulator anderson transition",
      "universal behavior"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}