{
  "id": "2210.03752",
  "version": "v1",
  "published": "2022-10-07T18:00:01.000Z",
  "updated": "2022-10-07T18:00:01.000Z",
  "title": "Theory of broken symmetry quantum Hall states in the $N=1$ Landau level of Graphene",
  "authors": [
    "Nikolaos Stefanidis",
    "Inti Sodemann Villadiego"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We study many-body ground states for the partial integer fillings of the $N=1$ Landau level in graphene, by constructing a model that accounts for the lattice scale corrections to the Coulomb interactions. Interestingly, in contrast to the $N=0$ Landau level, this model contains not only pure delta function interactions but also some of its derivatives. Due to this we find several important differences with respect to the $N=0$ Landau level. For example at quarter filling when only a single component is filled, there is a degeneracy lifting of the quantum hall ferromagnets and ground states with entangled spin and valley degrees of freedom can become favourable. Moreover at half-filling of the $N=1$ Landau level, we have found a new phase that is absent in the $N=0$ Landau level, that combines characteristics of the Kekul\\'{e} state and an antiferromagnet. We also find that according to the parameters extracted in a recent experiment, at half-filling of the $N=1$ Landau level graphene is expected to be in a delicate competition between an AF and a CDW state, but we also discuss why the models for these recent experiments might be missing some important terms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-07T18:00:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "landau level",
      "broken symmetry quantum hall states",
      "study many-body ground states",
      "pure delta function interactions",
      "lattice scale corrections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}