{
  "id": "0807.3245",
  "version": "v3",
  "published": "2008-07-21T13:38:05.000Z",
  "updated": "2008-11-18T07:47:27.000Z",
  "title": "Disorder-driven splitting of the conductance peak at the Dirac point in graphene",
  "authors": [
    "L. Schweitzer",
    "P. Markos"
  ],
  "journal": "Phys. Rev. B 78, 205419 (2008)",
  "doi": "10.1103/PhysRevB.78.205419",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.dis-nn"
  ],
  "abstract": "The electronic properties of a bricklayer model, which shares the same topology as the hexagonal lattice of graphene, are investigated numerically. We study the influence of random magnetic-field disorder in addition to a strong perpendicular magnetic field. We found a disorder-driven splitting of the longitudinal conductance peak within the narrow lowest Landau band near the Dirac point. The energy splitting follows a relation which is proportional to the square root of the magnetic field and linear in the disorder strength. We calculate the scale invariant peaks of the two-terminal conductance and obtain the critical exponents as well as the multifractal properties of the chiral and quantum Hall states. We found approximate values $\\nu\\approx 2.5$ for the quantum Hall states, but $\\nu=0.33\\pm 0.1$ for the divergence of the correlation length of the chiral state at E=0 in the presence of a strong magnetic field. Within the central $n=0$ Landau band, the multifractal properties of both the chiral and the split quantum Hall states are the same, showing a parabolic $f[\\alpha(s)]$ distribution with $\\alpha(0)=2.27\\pm 0.02$. In the absence of the constant magnetic field, the chiral critical state is determined by $\\alpha(0)=2.14\\pm 0.02$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-11-18T07:47:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.23.-b",
      "71.30.+h",
      "73.22.-f"
    ],
    "keywords": [
      "dirac point",
      "disorder-driven splitting",
      "narrow lowest landau band",
      "strong perpendicular magnetic field",
      "split quantum hall states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2008,
      "month": "Nov",
      "volume": 78,
      "number": 20,
      "pages": 205419
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvB..78t5419S"
    }
  }
}