{
  "id": "1905.11521",
  "version": "v1",
  "published": "2019-05-27T21:48:26.000Z",
  "updated": "2019-05-27T21:48:26.000Z",
  "title": "Quantization of graphene plasmons",
  "authors": [
    "Beatriz A. Ferreira",
    "B. Amorim",
    "A. J. Chaves",
    "N. M. R. Peres"
  ],
  "comment": "14 pages, 7 figures",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "In this article we perform the quantization of graphene plasmons using both a macroscopic approach based on the classical average electromagnetic energy and a quantum hydrodynamic model, in which graphene charge carriers are modeled as a charged fluid. Both models allow to take into account the dispersion of graphenes optical response, with the hydrodynamic model also allowing for the inclusion of non-local effects. Using both methods, the electromagnetic field mode-functions, and the respective frequencies, are determined for two different graphene structures. we show how to quantize graphene plasmons, considering that graphene is a dispersive medium, and taking into account both local and nonlocal descriptions. It is found that the dispersion of graphene's optical response leads to a non-trivial normalization condition for the mode-functions. The obtained mode-functions are then used to calculate the decay of an emitter, represented by a dipole, via the excitation of graphene surface plasmon-polaritons. The obtained results are compared with the total spontaneous decay rate of the emitter and a near perfect match is found in the relevant spectral range. It is found that non-local effects in graphene's conductivity, become relevant for the emission rate for small Fermi energies and small distances between the dipole and the graphene sheet.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-27T21:48:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantization",
      "graphenes optical response",
      "non-local effects",
      "non-trivial normalization condition",
      "graphene charge carriers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}