{
  "id": "1110.6359",
  "version": "v2",
  "published": "2011-10-28T15:00:47.000Z",
  "updated": "2012-01-20T06:14:02.000Z",
  "title": "Coulomb drag in graphene: perturbation theory",
  "authors": [
    "B. N. Narozhny",
    "M. Titov",
    "I. V. Gornyi",
    "P. M. Ostrovsky"
  ],
  "comment": "22 pages, 8 figure, extended version",
  "journal": "Phys. Rev. B 85, 195421 (2012)",
  "doi": "10.1103/PhysRevB.85.195421",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "We study the effect of Coulomb drag between two closely positioned graphene monolayers. In the limit of weak electron-electron interaction and small inter-layer spacing ($\\mu_{1(2)}, T\\ll v/d$) the drag is described by a universal function of the chemical potentials of the layers $\\mu_{1(2)}$ measured in the units of temperature $T$. When both layers are tuned close to the Dirac point, then the drag coefficient is proportional to the product of the chemical potentials $\\rho_D\\propto\\mu_1\\mu_2$. In the opposite limit of low temperature the drag is inversely proportional to both chemical potentials $\\rho_D\\propto T^2/(\\mu_1\\mu_2)$. In the mixed case where the chemical potentials of the two layers belong to the opposite limits $\\mu_1\\ll T\\ll\\mu_2$ we find $\\rho_D\\propto \\mu_1/\\mu_2$. For stronger interaction and larger values of $d$ the drag coefficient acquires logarithmic corrections and can no longer be described by a power law. Further logarithmic corrections are due to the energy dependence of the impurity scattering time in graphene (for $\\mu_{1(2)}\\gg T$ these are small and may be neglected). In the case of strongly doped (or gated) graphene $\\mu_{1(2)}\\gg v/d\\gg T$ the drag coefficient acquires additional dependence on the inter-layer spacing and we recover the usual Fermi-liquid result if the screening length is smaller than $d$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-01-20T06:14:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "72.80.Vp",
      "73.23.Ad",
      "73.63.Bd"
    ],
    "keywords": [
      "coulomb drag",
      "perturbation theory",
      "chemical potentials",
      "drag coefficient acquires logarithmic corrections",
      "drag coefficient acquires additional dependence"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2012,
      "month": "May",
      "volume": 85,
      "number": 19,
      "pages": 195421
    },
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvB..85s5421N"
    }
  }
}