{
  "id": "2010.14999",
  "version": "v1",
  "published": "2020-10-28T14:13:33.000Z",
  "updated": "2020-10-28T14:13:33.000Z",
  "title": "Tunable plasmon modes in AA-stacked bilayer graphene",
  "authors": [
    "Yawar Mohammadi"
  ],
  "comment": "25 pages, 6 figures. Comments are welcome",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study plasmon dispersion in doped AA-stacked bilayer graphene (BLG) within the nearest-neighbor tight-binding and the random phase approximation. We obtain closed analytical expressions for the polarizability function which are used to obtain the low-energy dispersion relations of and the numerical results for both acoustic and optical plasmon modes. Our result reveal the potential of AA-stacked BLG to be used as a tunable plasmonic device. In particular we find that the long-wavelength acoustic plasmon disperse as $\\omega_{+}\\approx\\sqrt{max(|\\mu|,t_{1})q}$ with a phase space which shrinks and vanishes as the chemical potential approaches the interlayer hopping energy, preventing the existence of long-lived acoustic plasmons. Furthermore, we show that AA-stacked BLG support coherent optical plasmon only when $(1+\\frac{g_{\\sigma}g_{v}e^{2}t_{1}d}{\\kappa v_{F}^{2}}\\frac{|\\mu|}{t_{1}})^{1/2}<\\frac{|\\mu|}{t_{1}}$ condition is satisfied. We also find that the optical plasmon mode disperses as $\\omega_{-}\\approx \\Delta+Cq^{2}$ with constants that can be tuned by tuning the chemical potential.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-28T14:13:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "aa-stacked bilayer graphene",
      "tunable plasmon modes",
      "optical plasmon mode",
      "blg support coherent optical plasmon",
      "long-wavelength acoustic plasmon disperse"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}