{
  "id": "1012.5681",
  "version": "v3",
  "published": "2010-12-28T00:34:37.000Z",
  "updated": "2011-07-28T16:36:11.000Z",
  "title": "Constructing the AdS dual of a Fermi liquid: AdS Black holes with Dirac hair",
  "authors": [
    "Mihailo Čubrović",
    "Jan Zaanen",
    "Koenraad Schalm"
  ],
  "comment": "26 pages, 6 figures; sections 2-3 substantially revised for improved clarity",
  "categories": [
    "hep-th",
    "cond-mat.str-el"
  ],
  "abstract": "We provide new evidence that the holographic dual to a strongly coupled charged Fermi Liquid has a non-zero fermion density in the bulk. We show that the pole-strength of the stable quasiparticle characterizing the Fermi surface is encoded in the spatially averaged AdS probability density of a single normalizable fermion wavefunction in AdS. Recalling Migdal's theorem which relates the pole strength to the Fermi-Dirac characteristic discontinuity in the number density at $\\ome_F$, we conclude that the AdS dual of a Fermi liquid is described by occupied on-shell fermionic modes in AdS. Encoding the occupied levels in the total probability density of the fermion field directly, we show that an AdS Reissner-Nordstr\\\"{o}m black hole in a theory with charged fermions has a critical temperature, at which the system undergoes a first-order transition to a black hole with a non-vanishing profile for the bulk fermion field. Thermodynamics and spectral analysis confirm that the solution with non-zero AdS fermion-profile is the preferred ground state at low temperatures.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-07-28T16:36:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ads black holes",
      "ads dual",
      "dirac hair",
      "averaged ads probability density",
      "coupled charged fermi liquid"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/JHEP10(2011)017",
      "journal": "Journal of High Energy Physics",
      "year": 2011,
      "month": "Oct",
      "volume": 2011,
      "pages": 17
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 882824,
      "adsabs": "2011JHEP...10..017C"
    }
  }
}