{
  "id": "2306.08080",
  "version": "v1",
  "published": "2023-06-13T18:51:42.000Z",
  "updated": "2023-06-13T18:51:42.000Z",
  "title": "Effect of electron-electron interaction and disorder potential on the localization of two-dimensional electrons in a strong magnetic field",
  "authors": [
    "A. A. Vasilchenko"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2212.14001",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The density functional theory is used to study the electronic structure of a quantum wire in a magnetic field. The Kohn-Sham equations are solved numerically for different values of electron densities and filling factors. The critical density, below which the electron density has a strong spatial inhomogeneity, was found in GaAs quantum wire. An empirical formula for the critical density is obtained. The effect of the disorder potential on the electron density profile in a two-dimensional electron gas is estimated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-13T18:51:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strong magnetic field",
      "disorder potential",
      "electron-electron interaction",
      "electron density",
      "localization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}