{
  "id": "0911.1559",
  "version": "v2",
  "published": "2009-11-08T21:20:28.000Z",
  "updated": "2011-02-02T02:16:19.000Z",
  "title": "BCS superconductivity in metallic nanograins: Finite-size corrections, low energy excitations, and robustness of shell effects",
  "authors": [
    "Antonio M. Garcia-Garcia",
    "Juan Diego Urbina",
    "Emil A. Yuzbashyan",
    "Klaus Richter",
    "Boris L. Altshuler"
  ],
  "comment": "16 pages, 6 figures, journal version",
  "journal": "Phys. Rev. B 83, 014510 (2011)",
  "doi": "10.1103/PhysRevB.83.014510",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.supr-con"
  ],
  "abstract": "We combine the BCS self-consistency condition, a semiclassical expansion for the spectral density and interaction matrix elements to describe analytically how the superconducting gap depends on the size and shape of a 2d and 3d superconducting grain. In chaotic grains mesoscopic fluctuations of the matrix elements lead to a smooth dependence of the order parameter on the excitation energy. In the integrable case we find shell effects i. e. for certain values of the electron number $N$ a small change in N leads to large changes in the energy gap. With regard to possible experimental tests we provide a detailed analysis of the dependence of the gap on the coherence length and the robustness of shell effects under small geometrical deformations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-02T02:16:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "74.20.Fg",
      "75.10.Jm",
      "71.10.Li",
      "73.21.La"
    ],
    "keywords": [
      "shell effects",
      "low energy excitations",
      "metallic nanograins",
      "bcs superconductivity",
      "finite-size corrections"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2011,
      "month": "Jan",
      "volume": 83,
      "number": 1,
      "pages": "014510"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhRvB..83a4510G"
    }
  }
}