{
  "id": "2007.08372",
  "version": "v1",
  "published": "2020-07-16T14:48:58.000Z",
  "updated": "2020-07-16T14:48:58.000Z",
  "title": "Deformation of graphene sheet: Interaction of fermions with phonons",
  "authors": [
    "Ara Sedrakyan",
    "Andreas Sinner",
    "Klaus Ziegler"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "hep-th"
  ],
  "abstract": "We construct an effective low energy Hamiltonian which describes fermions dwelling on a deformed honeycomb lattice with dislocations and disclinations, and with an arbitrary hopping parameters of the corresponding tight binding model. It describes the interaction of fermions with a 2d gravity and has also a local SU(2) gauge invariance of the group of rotations. We reformulate the model as interaction of fermions with the deformation of the lattice, which forms a phonon field. We calculate the response of fermion currents to the external deformation or phonon field, which is a result of a Z_2 anomaly. This can be detected experimentally.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-16T14:48:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "graphene sheet",
      "deformation",
      "interaction",
      "phonon field",
      "effective low energy hamiltonian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}