{
  "id": "1502.07640",
  "version": "v1",
  "published": "2015-02-26T17:21:45.000Z",
  "updated": "2015-02-26T17:21:45.000Z",
  "title": "Phase diagram of the Quantum Electrodynamics of 2D and 3D Dirac semimetals",
  "authors": [
    "J. Gonzalez"
  ],
  "comment": "9 pages, 10 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We study the Quantum Electrodynamics of 2D and 3D Dirac semimetals by means of a self-consistent resolution of the Schwinger-Dyson equations, aiming to obtain the respective phase diagrams in terms of the relative strength of the Coulomb interaction and the number N of Dirac fermions. In this framework, 2D Dirac semimetals have just a strong-coupling instability characterized by exciton condensation (and dynamical generation of mass) that we find at a critical coupling well above previous theoretical estimates, thus explaining the absence of that instability in free-standing graphene samples. On the other hand, we show that 3D Dirac semimetals have a richer phase diagram, with a strong-coupling instability leading to dynamical mass generation up to N = 4 and a line of critical points for larger values of N characterized by the vanishing of the electron quasiparticle weight in the low-energy limit. Such a marginal Fermi liquid boundary signals the transition to a strongly renormalized electron liquid having very unstable quasiparticles, with large decay rates implying an increasing departure at strong coupling from the Fermi liquid picture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-26T17:21:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "71.15.Rf",
      "71.10.Hf",
      "71.30.+h",
      "72.80.Vp"
    ],
    "keywords": [
      "3d dirac semimetals",
      "phase diagram",
      "quantum electrodynamics",
      "marginal fermi liquid boundary signals",
      "fermi liquid picture"
    ],
    "publication": {
      "doi": "10.1103/PhysRevB.92.125115"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1346626
    }
  }
}