{
  "id": "2406.08044",
  "version": "v1",
  "published": "2024-06-12T09:53:09.000Z",
  "updated": "2024-06-12T09:53:09.000Z",
  "title": "Hofstadter spectrum in a semiconductor moiré lattice",
  "authors": [
    "Chen Zhao",
    "Ming Wu",
    "Zhen Ma",
    "Miao Liang",
    "Ming Lu",
    "Jin-Hua Gao",
    "X. C. Xie"
  ],
  "comment": "7 pages, 4 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Recently, the Hofstadter spectrum of a twisted $\\mathrm{WSe_2/MoSe_2}$ heterobilayer has been observed in experiment [C. R. Kometter, et al. Nat.Phys.19, 1861 (2023)], but the origin of Hofstadter states remains unclear. Here, we present a comprehensive theoretical interpretation of the observed Hofstadter states by calculating its accurate Hofstadter spectrum. We point out that the valley Zeeman effect, a unique feature of the transition metal dichalcogenide (TMD) materials, plays a crucial role in determining the shape of the Hofstadter spectrum, due to the narrow bandwidth of the moir\\'e bands. This is distinct from the graphene-based moir\\'e systems. We further predict that the Hofstadter spectrum of the moir\\'e flat band, which was not observed in experiment, can be observed in the same system with a larger twist angle $2^\\circ\\lesssim\\theta \\lesssim 3^\\circ$. Our theory paves the way for further studies of the interplay between the Hofstadter states and correlated insulting states in such moir\\'e lattice systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-12T09:53:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semiconductor",
      "hofstadter states remains unclear",
      "moire flat band",
      "accurate hofstadter spectrum",
      "valley zeeman effect"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}