{
  "id": "2303.14794",
  "version": "v1",
  "published": "2023-03-26T18:58:28.000Z",
  "updated": "2023-03-26T18:58:28.000Z",
  "title": "Anomalous open orbits in Hofstadter spectrum of Chern insulator",
  "authors": [
    "Haijiao Ji",
    "Noah F. Q. Yuan",
    "Hua Jiang",
    "Haiwen Liu",
    "X. C. Xie"
  ],
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The nontrivial band topology can influence the Hofstadter spectrum. We investigate the Hofstadter spectrum for various models of Chern insulators under a rational flux $\\frac{\\phi_{0}}{q}$, here $\\phi_{0}=\\frac{h}{e}$ and $q$ being an integer. We find two major features. First, the number of splitting subbands is $|q-C|$ with Chern number $C$. Second, the anomalous open-orbit subbands with Chern numbers $q-1$ and $-q-1$ emerge, which are beyond the parameter window $(-q/2,q/2)$ of the Diophantine equation studied by Thouless-Kohmoto-Nightingale-den Nijs [Phys. Rev. Lett. \\textbf{49}, 405 (1982)]. These two findings are explained by semiclassical dynamics. We propose that the number of splitting subbands can be utilized to determine Chern number in cold atom systems, and the open-orbit subbands can provide routes to study exotic features beyond the Landau level physics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-26T18:58:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hofstadter spectrum",
      "anomalous open orbits",
      "chern insulator",
      "chern number",
      "cold atom systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}