{
  "id": "0906.4634",
  "version": "v1",
  "published": "2009-06-25T09:03:04.000Z",
  "updated": "2009-06-25T09:03:04.000Z",
  "title": "Trigonal warping and Berry's phase N pi in ABC-stacked multilayer graphene",
  "authors": [
    "Mikito Koshino",
    "Edward McCann"
  ],
  "comment": "9 pages, 5 figures",
  "journal": "Phys. Rev. B 80, 165409 (2009)",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "The electronic band structure of ABC-stacked multilayer graphene is studied within an effective mass approximation. The electron and hole bands touching at zero energy support chiral quasiparticles characterized by Berry's phase N pi for N-layers, generalizing the low-energy band structure of monolayer and bilayer graphene. We investigate the trigonal-warping deformation of the energy bands and show that the Lifshitz transition, in which the Fermi circle breaks up into separate parts at low energy, reflects Berry's phase N pi. It is particularly prominent in trilayers, N=3, with the Fermi circle breaking into three parts at a relatively large energy that is related to next-nearest-layer coupling. For N=3, we study the effects of electrostatic potentials which vary in the stacking direction, and find that a perpendicular electric field, as well as opening an energy gap, strongly enhances the trigonal-warping effect. In magnetic fields, the N=3 Lifshitz transition is manifested as a coalescence of Landau levels into triply-degenerate levels.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-25T09:03:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "71.20.-b",
      "81.05.Uw",
      "73.63.-b",
      "73.43.Cd"
    ],
    "keywords": [
      "abc-stacked multilayer graphene",
      "berrys phase",
      "trigonal warping",
      "zero energy support chiral quasiparticles"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "doi": "10.1103/PhysRevB.80.165409",
      "year": 2009,
      "month": "Oct",
      "volume": 80,
      "number": 16,
      "pages": 165409
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhRvB..80p5409K"
    }
  }
}