{
  "id": "2212.10685",
  "version": "v1",
  "published": "2022-12-20T23:02:41.000Z",
  "updated": "2022-12-20T23:02:41.000Z",
  "title": "Lattice Model For The Quantum Anomalous Hall Effect in Moiré Graphene",
  "authors": [
    "Ahmed Khalifa",
    "Ganpathy Murthy",
    "Ribhu K. Kaul"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "Inspired by experiments on magic angle twisted bilayer graphene, we present a lattice mean-field model for the quantum anomalous Hall effect in a moir\\'e setting. Our hopping model thus provides a simple route to a moir\\'e Chern insulator in commensurately twisted models. We present a study of our model in the ribbon geometry, in which we demonstrate the presence of thick chiral edge states that have a transverse localization that scales with the moir\\'e lattice spacing. We also study the electronic structure of a domain wall between opposite Chern insulators. Our model and results are relevant to experiments that will image or manipulate the moir\\'e quantum anomalous Hall edge states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-20T23:02:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum anomalous hall effect",
      "lattice model",
      "angle twisted bilayer graphene",
      "quantum anomalous hall edge states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}