{
  "id": "1310.8439",
  "version": "v1",
  "published": "2013-10-31T10:07:06.000Z",
  "updated": "2013-10-31T10:07:06.000Z",
  "title": "The electronic structure of a graphene quantum dot: Electric-field-induced evolution in two subspaces",
  "authors": [
    "Qing-Rui Dong"
  ],
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The tight-binding method is employed to investigate the effects of three typical in-plane electric fields on the electronic structure of a triangular zigzag graphene quantum dot. The calculation shows that the single-electron eigenstates evolute independently in two subspaces no matter how the electric fields change. The electric field with fixed-geometry gates chooses several scattered parts of the zero-energy eigenspace as the new zero-energy eigenstates, regardless of the field strength. Moreover, the new zero-energy eigenstates remain unchanged and the associated levels are linear as the field strength. In contrast, the new nonzero-energy eigenstates mix mutually and the associated levels are nonlinear as the field strength. By comparing the effects of three electric fields, we demonstrate that the degeneracy of the zero-energy eigenstates accounts for the linearity of the associated levels.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-31T10:07:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "electronic structure",
      "electric field",
      "electric-field-induced evolution",
      "zero-energy eigenstates",
      "field strength"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.8439D"
    }
  }
}