{
  "id": "cond-mat/0611696",
  "version": "v2",
  "published": "2006-11-28T06:55:24.000Z",
  "updated": "2007-05-19T06:15:08.000Z",
  "title": "Distribution of spectral-flow gaps in the Rashba model with disorder: a new universality",
  "authors": [
    "Daijiro Tobe",
    "Mahito Kohmoto",
    "Masatoshi Sato",
    "Yong-Shi Wu"
  ],
  "comment": "12 pages, 6 figures; 1 figure and references added; expanded discussions in the final section; the published version in PRB",
  "journal": "Phys. Rev. B75, 245203 (2007)",
  "doi": "10.1103/PhysRevB.75.245203",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.dis-nn"
  ],
  "abstract": "We report a study of disordered electron systems with spin-orbit coupling on a cylinder using methods of random matrix ensembles. With a threading flux turned on, the single particle levels will generally avoid, rather than cross, each other. Our numerical study of the level-avoiding gaps in the disordered Rashba model demonstrates that the normalized gap distribution is of a universal form, independent of the random strength and the system size. For small gaps it exhibits a linear behavior, while for large gaps it decays exponentially. A framework based on matrix mechanical models is suggested, and is verified to reproduce the universal linear behavior at small gaps. Thus we propose to use the distribution of the spectral-flow gaps associated with flux insertion as a new way to characterize 2d random systems with spin-orbit coupling. The relevance and qualitative implications for spin (Hall) transport are also addressed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-05-19T06:15:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spectral-flow gaps",
      "distribution",
      "universality",
      "small gaps",
      "random matrix ensembles"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}