{
  "id": "1904.13277",
  "version": "v1",
  "published": "2019-04-30T14:33:51.000Z",
  "updated": "2019-04-30T14:33:51.000Z",
  "title": "Polarization tensor for tilted Dirac fermions: Covariance in deformed Minkowski spacetime",
  "authors": [
    "Zahra Jalali-Mola",
    "S. A. Jafari"
  ],
  "comment": "comments are appreciated",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el",
    "gr-qc",
    "hep-th"
  ],
  "abstract": "The rich structure of solid state physics provides us with Dirac materials the effective theory of which enjoys the Lorentz symmetry. In non-symmorphic lattices, the Lorentz symmetry will be deformed in a way that the null energy-momentum vectors will correspond to on-shell condition for tilted Dirac cone dispersion. In this sense, tilted Dirac/Weyl materials can be viewed as solid state systems where the effective spacetime is non-Minkowski. In this work, we show that the polarization tensor for tilted Dirac cone systems acquires a covariant from only when the spacetime is considered to be an appropriate deformation of the Minkowski spacetime. As a unique consequence of the deformation of the geometry of the spacetime felt by the electrons in tilted Dirac cone materials, the Coulomb density-density interactions will generate corrections in both longitudinal and transverse channels.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-30T14:33:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tilted dirac fermions",
      "deformed minkowski spacetime",
      "polarization tensor",
      "solid state",
      "tilted dirac cone systems acquires"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}