{
  "id": "1307.7728",
  "version": "v2",
  "published": "2013-07-29T20:09:01.000Z",
  "updated": "2013-12-03T16:06:21.000Z",
  "title": "Supercritical instability in graphene with two charged impurities",
  "authors": [
    "E. V. Gorbar",
    "V. P. Gusynin",
    "O. O. Sobol"
  ],
  "comment": "12 pages, 1 figure, comments and references added, to match the published version",
  "journal": "Physical Review B 88, 205116 (2013)",
  "doi": "10.1103/PhysRevB.88.205116",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el",
    "hep-ph",
    "nucl-th"
  ],
  "abstract": "We study the supercritical instability in gapped graphene with two charged impurities separated by distance R using the two-dimensional Dirac equation for electron quasiparticles. Attention is paid to a situation when charges of impurities are subcritical, whereas their total charge exceeds a critical one. The critical distance R_{cr} in the system of two charged centers is defined as that at which the electron bound state with the lowest energy reaches the boundary of the lower continuum. A variational calculation of the critical distance R_{cr} separating the supercritical (R<R_{cr}) and subcritical (R>R_{cr}) regimes is carried out. It is shown that the critical distance R_{cr} increases as the quasiparticle gap decreases. The energy and width of a quasistationary state as functions of the distance between two impurities are derived in the quasiclassical approximation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-03T16:06:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81.05.ue",
      "73.22.Pr"
    ],
    "keywords": [
      "charged impurities",
      "supercritical instability",
      "critical distance",
      "two-dimensional dirac equation",
      "electron bound state"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1245489,
      "adsabs": "2013arXiv1307.7728G"
    }
  }
}