{
  "id": "2408.01599",
  "version": "v1",
  "published": "2024-08-02T23:08:54.000Z",
  "updated": "2024-08-02T23:08:54.000Z",
  "title": "Strongly interacting Hofstadter states in magic-angle twisted bilayer graphene",
  "authors": [
    "Minhao He",
    "Xiaoyu Wang",
    "Jiaqi Cai",
    "Jonah Herzog-Arbeitman",
    "Takashi Taniguchi",
    "Kenji Watanabe",
    "Ady Stern",
    "B. Andrei Bernevig",
    "Matthew Yankowitz",
    "Oskar Vafek",
    "Xiaodong Xu"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "Magic-angle twisted bilayer graphene (MATBG) hosts a multitude of strongly correlated states at partial fillings of its flat bands. In a magnetic field, these flat bands further evolve into a unique Hofstadter spectrum renormalized by strong Coulomb interactions. Here, we study the interacting Hofstadter states spontaneously formed within the topological magnetic subbands of an ultraclean MATBG device, notably including symmetry-broken Chern insulator (SBCI) states and fractional quantum Hall (FQH) states. The observed SBCI states form a cascade with their Chern numbers mimicking the main sequence correlated Chern insulators. The FQH states in MATBG form in Jain sequence; however, they disappear at high magnetic field, distinct from conventional FQH states which strengthen with increasing magnetic field. We reveal a unique magnetic field-driven phase transition from composite fermion phases to a dissipative Fermi liquid. Our theoretical analysis of the magnetic subbands hosting FQH states predicts non uniform quantum geometric properties far from the lowest Landau level. This points towards a more natural interpretation of these FQH states as in-field fractional Chern insulators of the magnetic subbands.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-02T23:08:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magic-angle twisted bilayer graphene",
      "strongly interacting hofstadter states",
      "non uniform quantum",
      "uniform quantum geometric",
      "fqh states predicts non"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}