{
  "id": "1802.07570",
  "version": "v1",
  "published": "2018-02-21T13:54:51.000Z",
  "updated": "2018-02-21T13:54:51.000Z",
  "title": "Influence of chemical potential on the Casimir-Polder interaction between an atom and gapped graphene or graphene-coated substrate",
  "authors": [
    "C. Henkel",
    "G. L. Klimchitskaya",
    "V. M. Mostepanenko"
  ],
  "comment": "22 pages, 9 figures; accepted for publication in Phys. Rev. A",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We present a formalism based on first principles of quantum electrodynamics at nonzero temperature which permits to calculate the Casimir-Polder interaction between an atom and a graphene sheet with arbitrary mass gap and chemical potential, including graphene-coated substrates. The free energy and force of the Casimir-Polder interaction are expressed via the polarization tensor of graphene in (2+1)-dimensional space-time in the framework of the Dirac model. The obtained expressions are used to investigate the influence of the chemical potential of graphene on the Casimir-Polder interaction. Computations are performed for an atom of metastable helium interacting with either a free-standing graphene sheet or a graphene-coated substrate made of amorphous silica. It is shown that the impacts of the nonzero chemical potential and the mass gap on the Casimir-Polder interaction are in opposite directions by increasing and decreasing the magnitudes of the free energy and force, respectively. It turns out, however, that the temperature-dependent part of the Casimir-Polder interaction is decreased by a nonzero chemical potential, whereas the mass gap increases it compared to the case of undoped, gapless graphene. The physical explanation for these effects is provided. Numerical computations of the Casimir-Polder interaction are performed at various temperatures and atom-graphene separations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-21T13:54:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "casimir-polder interaction",
      "graphene-coated substrate",
      "gapped graphene",
      "nonzero chemical potential",
      "free energy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}