{
  "id": "1802.03585",
  "version": "v1",
  "published": "2018-02-10T13:14:27.000Z",
  "updated": "2018-02-10T13:14:27.000Z",
  "title": "Theory of Friedel oscillations in monolayer graphene and group-VI dichalcogenides in a magnetic field",
  "authors": [
    "Tomasz M. Rusin",
    "Wlodek Zawadzki"
  ],
  "comment": "17 pages and 8 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.other"
  ],
  "abstract": "Friedel oscillations (FO) of electron density caused by a delta-like neutral impurity in two-dimensional (2D) systems in a magnetic field are calculated. Three 2D cases are considered: free electron gas, monolayer graphene and group-VI dichalcogenides. An exact form of the renormalized Green's function is used in the calculations, as obtained by a summation of the infinite Dyson series and regularization procedure. Final results are valid for large ranges of potential strengths $V_0$, electron densities $n_e$, magnetic fields $B$ and distances from the impurity $r$. Realistic models for the impurities are used. The first FO of induced density in WS$_2$ are described by the relation $\\Delta n(\\vec{r}) \\propto \\sin(2\\pi r/T_{FO})/r^2$, where $T_{FO} \\propto 1/\\sqrt{E_F}$. For weak impurity potentials, the amplitudes of FO are proportional to $V_0$. For attractive potentials and high fields the total electron density remains positive for all $r$. On the other hand, for low fields, repulsive potentials and small $r$, the total electron density may become negative, so that many-body effects should be taken into account.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-10T13:14:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetic field",
      "monolayer graphene",
      "friedel oscillations",
      "group-vi dichalcogenides",
      "electron density remains positive"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}