{
  "id": "1612.03944",
  "version": "v1",
  "published": "2016-12-12T21:51:27.000Z",
  "updated": "2016-12-12T21:51:27.000Z",
  "title": "Green's functions of electrons in group-VI dichalcogenides in a magnetic field",
  "authors": [
    "Tomasz M Rusin",
    "Wlodek Zawadzki"
  ],
  "comment": "11 pages and 3 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.other",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Closed expression for the Green's function of the stationary two-dimensional Schrodinger equation for an electron in group-VI dichalcogenides in the presence of a magnetic field is obtained in terms of the Whittaker functions. The resulting Green's function operator is a~$8 \\times 8$ matrix consisting of four block-diagonal~$2\\times 2$ matrices, each of them characterized by different values of valley index and electron spin. The obtained results are used to calculate local density of states induced by a neutral delta-like impurity in the presence of a magnetic field within the lowest Born approximation. The spatial electron density experiences either the Friedel-like oscillations or an exponential decay as a function of the distance from the impurity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-12T21:51:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetic field",
      "group-vi dichalcogenides",
      "stationary two-dimensional schrodinger equation",
      "spatial electron density experiences",
      "lowest born approximation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}