{
  "id": "2505.01835",
  "version": "v1",
  "published": "2025-05-03T14:43:05.000Z",
  "updated": "2025-05-03T14:43:05.000Z",
  "title": "Friedel Oscillations in a Two-Dimensional Electron Gas and Monolayer Graphene with a Non-Coulomb Impurity Potential",
  "authors": [
    "Levente Máthé",
    "Ioan Grosu"
  ],
  "comment": "13 pages, 3 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study Friedel oscillations in a two-dimensional non-interacting electron gas and in a monolayer graphene in the presence of a single impurity. The potential generated by the impurity is modeled using a non-Coulomb interaction ($\\sim r^{-\\eta}$). The charge carrier density deviation as a function of distance from the impurity is calculated within the linear response theory. Our results show that, in both a two-dimensional non-interacting electron gas and graphene, the phase of charge carrier density oscillations remains unaffected by the parameter $\\eta$, which characterizes the non-Coulomb nature of the interaction, at large distances from the impurity. The parameter $\\eta$ influences only the amplitude of the oscillations in this regime. The results for an impurity modeled by Coulomb-like potential ($\\eta = 1$) are recovered in both cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-03T14:43:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional electron gas",
      "non-coulomb impurity potential",
      "friedel oscillations",
      "monolayer graphene",
      "carrier density oscillations remains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}