{
  "id": "1009.3269",
  "version": "v2",
  "published": "2010-09-16T20:00:06.000Z",
  "updated": "2010-12-03T16:34:08.000Z",
  "title": "Conductivity of interacting massless Dirac particles in graphene: Collisionless regime",
  "authors": [
    "Vladimir Juricic",
    "Oskar Vafek",
    "Igor F. Herbut"
  ],
  "comment": "32 pages, no figures, published version",
  "journal": "Phys.Rev.B82:235402,2010",
  "doi": "10.1103/PhysRevB.82.235402",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el",
    "hep-th"
  ],
  "abstract": "We provide detailed calculation of the a.c. conductivity in the case of 1/r-Coulomb interacting massless Dirac particles in graphene in the collisionless limit when \\omega >> T. The analysis of the electron self-energy, current vertex function and polarization function, which enter into the calculation of physical quantities including the a.c. conductivity, is carried out by checking the Ward-Takahashi identities associated with the electrical charge conservation and making sure that they are satisfied at each step. We adopt a variant of the dimensional regularization of Veltman and t'Hooft by taking the spatial dimension D=2-\\epsilon, for \\epsilon > 0. The procedure adopted here yields a result for the conductivity correction which, while explicitly preserving charge conservation laws, is nevertheless different from the results reported previously in literature.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-12-03T16:34:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "71.10.Pm",
      "73.63.-b"
    ],
    "keywords": [
      "interacting massless dirac particles",
      "collisionless regime",
      "conductivity",
      "explicitly preserving charge conservation laws",
      "current vertex function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2010,
      "month": "Dec",
      "volume": 82,
      "number": 23,
      "pages": 235402
    },
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 868831,
      "adsabs": "2010PhRvB..82w5402J"
    }
  }
}