{
  "id": "2408.10931",
  "version": "v1",
  "published": "2024-08-20T15:13:51.000Z",
  "updated": "2024-08-20T15:13:51.000Z",
  "title": "Thermal crossover from a Chern insulator to a fractional Chern insulator in pentalayer graphene",
  "authors": [
    "Sankar Das Sarma",
    "Ming Xie"
  ],
  "comment": "8 pages, 11 figures. Comments are welcomed",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "By theoretically analyzing the recent temperature dependent transport data in pentalayer graphene [Lu et al., arXiv:2408.10203], we establish that the experimentally observed transition from low-temperature quantum anomalous Hall effect to higher-temperature fractional quantum anomalous Hall effect is a crossover phenomenon arising from the competition between interaction and disorder energy scales, with the likely zero temperature ground state of the system being either a localized insulator or a Chern insulator with a quantized anomalous Hall effect. In particular, the intriguing suppression of FQAHE in favor of QAHE with decreasing temperature is explained as arising from the low-temperature localization of the carriers where disorder overcomes the interaction effects. We provide a detailed analysis of the data in support of the crossover scenario.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-20T15:13:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum anomalous hall effect",
      "fractional chern insulator",
      "pentalayer graphene",
      "thermal crossover",
      "fractional quantum anomalous hall"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}