{
  "id": "1206.2244",
  "version": "v2",
  "published": "2012-06-11T15:01:01.000Z",
  "updated": "2012-06-13T12:33:38.000Z",
  "title": "Peculiarities of dynamics of Dirac fermions associated with zero-mass lines",
  "authors": [
    "Timur Tudorovskiy",
    "Mikhail I. Katsnelson"
  ],
  "comment": "6 pages, 4 figures. In the second version some references were added and minor changes were made in the introduction",
  "doi": "10.1103/PhysRevB.86.045419",
  "categories": [
    "cond-mat.mes-hall",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "Zero-mass lines result in appearance of linear dispersion modes for Dirac fermions. These modes play an important role in various physical systems. However, a Dirac fermion may not precisely follow a single zero-mass line, due to either tunneling between different lines or centrifugal forces. Being shifted from a zero-mass line the Dirac fermion acquires mass which can substantially influence its expected \"massless\" behavior. In the paper we calculate the energy gap caused by the tunneling between two zero-mass lines and show that its opening leads to the delocalization of linear dispersion modes. The adiabatic bending of a zero-mass line gives rise to geometric phases. These are the Berry phase, locally associated with a curvature, and a new phase resulting from the mass square asymmetry in the vicinity of a zero-mass line.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-13T12:33:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.43.-f",
      "73.63.Hs",
      "85.75.-d"
    ],
    "keywords": [
      "dirac fermions",
      "linear dispersion modes",
      "peculiarities",
      "dirac fermion acquires mass",
      "single zero-mass line"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2012,
      "month": "Jul",
      "volume": 86,
      "number": 4,
      "pages": "045419"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvB..86d5419T"
    }
  }
}