{
  "id": "cond-mat/0506189",
  "version": "v1",
  "published": "2005-06-07T21:20:05.000Z",
  "updated": "2005-06-07T21:20:05.000Z",
  "title": "Dependence of the intrinsic spin Hall effect on spin-orbit interaction character",
  "authors": [
    "K. Nomura",
    "Jairo Sinova",
    "N. A. Sinitsyn",
    "A. H. MacDonald"
  ],
  "comment": "10 pages, 4 figures",
  "journal": "Phys. Rev. B 72, 165316 (2005)",
  "doi": "10.1103/PhysRevB.72.165316",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We report on a comparative numerical study of the spin Hall conductivity in two-dimensions for three different spin-orbit interaction models; the standard k-linear Rashba model, the k-cubic Rashba model that describes two-dimensional hole systems, and a modified k-linear Rashba model in which the spin-orbit coupling strength is energy dependent. Numerical finite-size Kubo formula results indicate that the spin Hall conductivity of the k-linear Rashba model vanishes for frequency $\\omega$ much smaller than the scattering rate $\\tau^{-1}$, with order one relative fluctuations surviving out to large system sizes. For the k-cubic Rashba model case, the spin Hall conductivity does not depend noticeably on $\\omega \\tau$ and is finite in the {\\em dc} limit, in agreement with experiment. For the modified k-linear Rashba model the spin Hall conductivity is noticeably $\\omega \\tau$ dependent but approaches a finite value in the {\\em dc} limit. We discuss these results in the light of a spectral decomposition of the spin Hall conductivity and associated sum rules, and in relation to a proposed separation of the spin Hall conductivity into skew-scattering, intrinsic, and interband vertex correction contributions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-07T21:20:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin hall conductivity",
      "intrinsic spin hall effect",
      "spin-orbit interaction character",
      "finite-size kubo formula results",
      "modified k-linear rashba model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}