{
  "id": "2201.02170",
  "version": "v2",
  "published": "2022-01-06T18:32:13.000Z",
  "updated": "2024-01-04T12:55:45.000Z",
  "title": "Magnetic response of twisted bilayer graphene",
  "authors": [
    "Simon Becker",
    "Jihoi Kim",
    "Xiaowen Zhu"
  ],
  "categories": [
    "math-ph",
    "cond-mat.mes-hall",
    "cond-mat.str-el",
    "math.MP",
    "math.SP",
    "quant-ph"
  ],
  "abstract": "In this article, we analyse the Bistritzer--MacDonald (BM) model (also known as the continuum model) of twisted bilayer graphene (TBG) with an additional external magnetic field. We provide an explicit semiclassical asymptotic expansion of the density of states (DOS) in the limit of strong magnetic fields. The explicit expansion of the DOS enables us to study magnetic response properties such as magnetic oscillations which includes Shubnikov-de Haas and de Haas-van Alphen oscillations as well as the integer quantum Hall effect. In particular, we elucidate the role played by different types of interlayer tunnelings ($AA^{\\prime}$/$BB^{\\prime}$ vs. $AB^{\\prime}$/$BA^{\\prime}$) in the study of the DOS, and magnetic properties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-01-04T12:55:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "twisted bilayer graphene",
      "integer quantum hall effect",
      "additional external magnetic field",
      "study magnetic response properties",
      "explicit semiclassical asymptotic expansion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}