{
  "id": "cond-mat/0606504",
  "version": "v4",
  "published": "2006-06-20T06:56:13.000Z",
  "updated": "2006-10-20T20:00:33.000Z",
  "title": "Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets",
  "authors": [
    "Hongki Min",
    "J. E. Hill",
    "N. A. Sinitsyn",
    "B. R. Sahu",
    "Leonard Kleinman",
    "A. H. MacDonald"
  ],
  "comment": "5 pages, 2 figures; typos corrected, references updated",
  "journal": "Phys. Rev. B 74, 165310 (2006)",
  "doi": "10.1103/PhysRevB.74.165310",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Starting from a microscopic tight-binding model and using second order perturbation theory, we derive explicit expressions for the intrinsic and Rashba spin-orbit interaction induced gaps in the Dirac-like low-energy band structure of an isolated graphene sheet. The Rashba interaction parameter is first order in the atomic carbon spin-orbit coupling strength $\\xi$ and first order in the external electric field $E$ perpendicular to the graphene plane, whereas the intrinsic spin-orbit interaction which survives at E=0 is second order in $\\xi$. The spin-orbit terms in the low-energy effective Hamiltonian have the form proposed recently by Kane and Mele. \\textit{Ab initio} electronic structure calculations were performed as a partial check on the validity of the tight-binding model.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2006-10-20T20:00:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "graphene sheet",
      "second order perturbation theory",
      "rashba spin-orbit interaction induced gaps",
      "first order",
      "atomic carbon spin-orbit coupling strength"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}