{
  "id": "1810.08456",
  "version": "v1",
  "published": "2018-10-19T12:14:28.000Z",
  "updated": "2018-10-19T12:14:28.000Z",
  "title": "Electrical dipole on gapped graphene: Bound states and atomic collapse",
  "authors": [
    "R. Van Pottelberge",
    "B. Van Duppen",
    "F. M. Peeters"
  ],
  "doi": "10.1103/PhysRevB.98.165420",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "We investigate the energy spectrum, wave functions, and local density of states of an electrical dipole placed on a sheet of gapped graphene as function of the charge strength Z{\\alpha} for different sizes of the dipole and for different regularization parameters. The dipole is modeled as consisting of a positive and negative charge. Bound states are found within the gap region with some energy levels that anticross and others that cross as function of the impurity strength Z{\\alpha}. The anticrossings are more pronounced and move to higher charges Z{\\alpha} when the length of the dipole decreases. These energy levels turn into atomic collapse states when they enter the positive (or negative) energy continuum. A smooth transition from the single-impurity behavior to the dipole one is observed: The states diving towards the continuum in the single-impurity case are gradually replaced by a series of anticrossings that represent a continuation of the diving states in the single-impurity case. By studying the local density of states at the edge of the dipole we show how the series of anticrossings persist in the positive and negative continuum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-19T12:14:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bound states",
      "electrical dipole",
      "gapped graphene",
      "single-impurity case",
      "local density"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}