{
  "id": "2007.13726",
  "version": "v1",
  "published": "2020-07-27T17:57:54.000Z",
  "updated": "2020-07-27T17:57:54.000Z",
  "title": "Persistent Friedel oscillations in Graphene due to a weak magnetic field",
  "authors": [
    "Ke Wang",
    "M. E. Raikh",
    "T. A. Sedrakyan"
  ],
  "comment": "10 pages, 3 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "Two opposite chiralities of Dirac electrons in a 2D graphene sheet strongly modify Friedel oscillations: the electrostatic potential around a single, non-magnetic impurity in graphene decays much faster than in 2D electron gas. In the semiclassical regime, $k_F r\\gg 1$, where $k_F$ is the Fermi momentum, and $r$ is the distance from the impurity, it behaves as $\\sim\\cos(2k_Fr)/r^3$. Here we show that the weak uniform magnetic field affects Friedel oscillations in an anomalous way. It breaks the chiral symmetry of Dirac electrons and generates {\\em dominant}, field-dependent oscillations that do not decay with distance in a parametrically large spatial interval $p_0^{-1}\\lesssim r\\lesssim k_Fl^2$, where $l$ is the magnetic length, and $p_0^{-1}=(k_Fl)^{4/3}/k_F$. This effect originates from chiral symmetry breaking near a Dirac point and implies anomalous sensitivity of interaction-induced effects in graphene and graphene-based heterostructures to the weak non-quantizing magnetic field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-27T17:57:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weak magnetic field",
      "persistent friedel oscillations",
      "field affects friedel oscillations",
      "uniform magnetic field affects",
      "magnetic field affects friedel"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}