{
  "id": "1605.02782",
  "version": "v1",
  "published": "2016-05-09T21:05:19.000Z",
  "updated": "2016-05-09T21:05:19.000Z",
  "title": "Hall viscosity and electromagnetic response of electrons in graphene",
  "authors": [
    "Mohammad Sherafati",
    "Alessandro Principi",
    "Giovanni Vignale"
  ],
  "comment": "16 pages including one Appendix, one figure",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We derive an analytic expression for the geometric Hall viscosity of non-interacting electrons in a single graphene layer in the presence of a perpendicular magnetic field. We show that a recently-derived formula in [C. Hoyos and D. T. Son, Phys. Rev. Lett. {\\bf 108}, 066805 (2012)], which connects the coefficient of $q^2$ in the wave vector expansion of the Hall conductivity $\\sigma_{xy}(q)$ of the two-dimensional electron gas (2DEG) to the Hall viscosity and the orbital diamagnetic susceptibility of that system, continues to hold for graphene -- in spite of the lack of Galilean invariance -- with a suitable definition of the effective mass. Finally we show that, for a sufficiently large number of occupied Landau levels, the Hall conductivity of electrons in graphene reduces to that of a Galilean-invariant 2DEG with an effective mass given by $\\hbar k_F/v_F$ (cyclotron mass). This connection between the Hall conductivity and the viscosity provides a possible avenue to measure the Hall viscosity in graphene.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-09T21:05:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "electromagnetic response",
      "hall conductivity",
      "geometric hall viscosity",
      "effective mass",
      "orbital diamagnetic susceptibility"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}