{
  "id": "1712.04206",
  "version": "v1",
  "published": "2017-12-12T10:17:53.000Z",
  "updated": "2017-12-12T10:17:53.000Z",
  "title": "Transient $\\textit{Zitterbewegung}$ near new Dirac points in graphene superlattice",
  "authors": [
    "Jianli Luan",
    "Shangyang Li",
    "Tianxing Ma",
    "Li-Gang Wang"
  ],
  "comment": "7 pages, 10 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "New Dirac points appear when periodic potentials are applied to graphene, and there are many interesting effects near these new Dirac points. Here we investigate the $\\textit{Zitterbewegung}$ effect of fermions described by a Gaussian wave packet in graphene superlattice near new Dirac points. The $\\textit{Zitterbewegung}$ near different Dirac points has similar characteristics, while Fermions near new Dirac points have different group velocities in both $x$- and $y$-direction, which causes the different properties of the $\\textit{Zitterbewegung}$ near new Dirac points. We also investigate the $\\textit{Zitterbewegung}$ effect influenced by all Dirac points, and get the evolution with changing potential. Our intensive results suggest that graphene superlattice may provide an appropriate system to study $\\textit{Zitterbewegung}$ effect near new Dirac points experimentally.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-12T10:17:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "graphene superlattice",
      "dirac points appear",
      "gaussian wave packet",
      "periodic potentials",
      "group velocities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}