{
  "id": "1910.01585",
  "version": "v1",
  "published": "2019-10-03T16:34:03.000Z",
  "updated": "2019-10-03T16:34:03.000Z",
  "title": "Hall conductivity of strained $Z_2$ crystals",
  "authors": [
    "I. V. Fialkovsky",
    "M. A. Zubkov"
  ],
  "comment": "Latex, 13 pages, prepared for the proceedings of ICNFP2019",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We establish topological nature of Hall conductivity of graphene and other $Z_2$ crystals in 2D and 3D in the presence of inhomogeneous perturbations. To this end the lattice Weyl-Wigner formalism is employed. The non-uniform mechanical stress is considered, along with spatially varying magnetic field. The relation of the obtained topological invariant to level counting is clarified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-03T16:34:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hall conductivity",
      "lattice weyl-wigner formalism",
      "non-uniform mechanical stress",
      "spatially varying magnetic field",
      "inhomogeneous perturbations"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}