{
  "id": "2005.02170",
  "version": "v1",
  "published": "2020-05-03T00:10:41.000Z",
  "updated": "2020-05-03T00:10:41.000Z",
  "title": "Study of electronic properties, Magnetization and persistent currents in a mesoscopic ring by controlled curvature",
  "authors": [
    "Luís Fernando C. Pereira",
    "Fabiano M. Andrade",
    "Cleverson Filgueiras",
    "Edilberto O. Silva"
  ],
  "comment": "7 pages, 12 figures. arXiv admin note: text overlap with arXiv:1905.05155",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "We study the model of a noninteracting spinless electron gas confined to the two-dimensional localized surface of a cone in the presence of external magnetic fields. The localized region is characterized by an annular radial potential. We write the Schr\\\"{o}dinger equation and use the thin-layer quantization procedure to calculate the wavefunctions and the energy spectrum. In such a procedure, it arises a geometry induced potential, which depends on both the mean and the Gaussian curvatures. Nevertheless, since we consider a ring with a mesoscopic size, the effects of the Gaussian curvature on the energy spectrum are negligible. The magnetization and the persistent current are analyzed. In the former, we observed the Aharonov-Bohm (AB) and de Haas-van Alphen (dHvA) types oscillations. In the latter, it is observed only the AB type oscillations. In both cases, the curvature increases the amplitude of the oscillations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-03T00:10:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "persistent current",
      "electronic properties",
      "controlled curvature",
      "mesoscopic ring",
      "spinless electron gas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}