{
  "id": "1708.03301",
  "version": "v1",
  "published": "2017-08-10T17:09:13.000Z",
  "updated": "2017-08-10T17:09:13.000Z",
  "title": "Superconductivity under pressure: application of the functional derivative",
  "authors": [
    "G. I. González-Pedreros",
    "R. Baquero"
  ],
  "comment": "11 pages, 1 figure",
  "categories": [
    "cond-mat.supr-con"
  ],
  "abstract": "In this paper, we calculate the superconducting critical temperature as a function of pressure, Tc(P ), using a method based on the functional derivative of the critical temperature with the Eliashberg function, dTc/dA2F. The coulomb electron-electron repulsion parameter, mu*(p) at each pressure is obtained in a consistent way by solving the linearized Migdal-Eliashberg equation. This method requires as the starting input only the knowledge of Tc(P ) at the starting pressure. It applies to superconductors for which the Migdal-Eliashberg equations hold. We study Al, a typical BCS weak coupling superconductor with a low Tc . Our results of Tc(P ) as a function of pressure for Al show an excellent agreement with the calculations of Profeta et al. (Phys. Rev. Lett.96, 047003 (2006)) which agree well with experiment.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-10T17:09:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "functional derivative",
      "application",
      "coulomb electron-electron repulsion parameter",
      "superconductivity",
      "migdal-eliashberg equations hold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}