{
  "id": "cond-mat/0702115",
  "version": "v1",
  "published": "2007-02-05T20:39:18.000Z",
  "updated": "2007-02-05T20:39:18.000Z",
  "title": "Quantum criticality and minimal conductivity in graphene with long-range disorder",
  "authors": [
    "P. M. Ostrovsky",
    "I. V. Gornyi",
    "A. D. Mirlin"
  ],
  "comment": "4 pages, 1 figure",
  "journal": "Phys. Rev. Lett. 98, 256801 (2007)",
  "doi": "10.1103/PhysRevLett.98.256801",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.dis-nn"
  ],
  "abstract": "We consider the conductivity $\\sigma_{xx}$ of graphene with negligible intervalley scattering at half filling. We derive the effective field theory, which, for the case of a potential disorder, is a symplectic-class $\\sigma$-model including a topological term with $\\theta=\\pi$. As a consequence, the system is at a quantum critical point with a universal value of the conductivity of the order of $e^2/h$. When the effective time reversal symmetry is broken, the symmetry class becomes unitary, and $\\sigma_{xx}$ acquires the value characteristic for the quantum Hall transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-05T20:39:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum criticality",
      "minimal conductivity",
      "long-range disorder",
      "quantum hall transition",
      "effective time reversal symmetry"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}