{
  "id": "0809.3079",
  "version": "v3",
  "published": "2008-09-18T10:00:28.000Z",
  "updated": "2008-10-30T06:23:00.000Z",
  "title": "Characteristic length of an AdS/CFT superconductor",
  "authors": [
    "Kengo Maeda",
    "Takashi Okamura"
  ],
  "comment": "9 pages, no figure; v2: typos corrected; v3: version to appear in PRD, an early discussion based on convensional superconductor with dynamical photon removed and an argument about the type of the holographic superconductor added",
  "journal": "Phys.Rev.D78:106006,2008",
  "doi": "10.1103/PhysRevD.78.106006",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "We investigate in more detail the holographic model of a superconductor recently found by Hartnoll, Herzog, and Horowitz [Phys. Rev. Lett. 101, 031601], which is constructed from a condensate of a charged scalar field in AdS_4-Schwarzschild background. By analytically studying the perturbation of the gravitational system near the critical temperature T_c, we obtain the superconducting coherence length proportional to 1/\\sqrt{1-T/T_c} via AdS/CFT correspondence. By adding a small external homogeneous magnetic field to the system, we find that a stationary diamagnetic current proportional to the square of the order parameter is induced by the magnetic field. These results agree with Ginzburg-Landau theory and strongly support the idea that a superconductor can be described by a charged scalar field on a black hole via AdS/CFT duality.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-10-30T06:23:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.25.Tq",
      "74.20.-z"
    ],
    "keywords": [
      "ads/cft superconductor",
      "characteristic length",
      "charged scalar field",
      "small external homogeneous magnetic field",
      "stationary diamagnetic current proportional"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2008,
      "month": "Nov",
      "volume": 78,
      "number": 10,
      "pages": 106006
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 796926,
      "adsabs": "2008PhRvD..78j6006M"
    }
  }
}