{
  "id": "1710.06584",
  "version": "v1",
  "published": "2017-10-18T04:48:31.000Z",
  "updated": "2017-10-18T04:48:31.000Z",
  "title": "Collective resonances near zero energy induced by a point defect in bilayer graphene",
  "authors": [
    "Jhih-Shih You",
    "Jian-Ming Tang",
    "Wen-Min Huang"
  ],
  "comment": "6 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Intrinsic defects give rise to scattering processes governing the transport properties of mesoscopic systems. We investigate analytically and numerically the local density of states in Bernal stacking bilayer graphene with a point defect. From this theoretical study, a picture emerges in which the pronounced zero-energy peak in the local density of states does not attribute to zero-energy impurity states associated to two different types of defects, but to a collective phenomenon of the low-energy resonant states induced by the defect. To corroborate this description, we numerically show that at small system size $N$, the zero-energy peak near the defect scales as $1/\\ln N$ for the quasi-localized zero-energy state and as $1/N$ for the delocalized state. As the system size approaches to the thermodynamic limit, the former zero-energy peak becomes a power-law singularity $1/|E|$ in low energies, while the latter is broadened into a Lorentzian shape. A striking point is that both types of zero-energy peaks decay as $1/r^2$ away from the defect, manifesting the quasi-localized character. Based on our results, we propose a general formula for the local density of states in low-energy and in real space. Our study sheds light on this fundamental problem of defects.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-18T04:48:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "point defect",
      "zero energy",
      "collective resonances",
      "local density",
      "zero-energy impurity states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}