{
  "id": "2406.08977",
  "version": "v1",
  "published": "2024-06-13T10:16:29.000Z",
  "updated": "2024-06-13T10:16:29.000Z",
  "title": "Signature of non-trivial band topology in Shubnikov--de Haas oscillations",
  "authors": [
    "Denis R. Candido",
    "Sigurdur I. Erlingsson",
    "João Vitor I. Costa",
    "J. Carlos Egues"
  ],
  "comment": "6 pages, 3 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We investigate the Shubnikov-de Haas (SdH) magneto-oscillations in the resistivity of two-dimensional topological insulators (TIs). Within the Bernevig-Hughes-Zhang (BHZ) model for TIs in the presence of a quantizing magnetic field, we obtain analytical expressions for the SdH oscillations by combining a semiclassical approach for the resistivity and a trace formula for the density of states. We show that when the non-trivial topology is produced by inverted bands with ''Mexican-hat'' shape, SdH oscillations show an anomalous beating pattern that is {\\it solely} due to the non-trivial topology of the system. These beatings are robust against, and distinct from beatings originating from spin-orbit interactions. This provides a direct way to experimentally probe the non-trivial topology of 2D TIs entirely from a bulk measurement. Furthermore, the Fourier transform of the SdH oscillations as a function of the Fermi energy and quantum capacitance models allows for extracting both the topological gap and gap at zero momentum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-13T10:16:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-trivial band topology",
      "shubnikov-de haas oscillations",
      "non-trivial topology",
      "sdh oscillations",
      "quantum capacitance models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}