{
  "id": "0804.2678",
  "version": "v3",
  "published": "2008-04-17T03:37:27.000Z",
  "updated": "2008-11-17T15:42:52.000Z",
  "title": "Density Functional Theory for non-relativistic Fermions in the Unitarity Limit",
  "authors": [
    "Gautam Rupak",
    "Thomas Schaefer"
  ],
  "comment": "17 pages, final version, Nuclear Physics A, in press",
  "journal": "Nucl.Phys.A816:52-64,2009",
  "doi": "10.1016/j.nuclphysa.2008.11.004",
  "categories": [
    "nucl-th",
    "cond-mat.other"
  ],
  "abstract": "We derive an energy density functional for non-relativistic spin one-half fermions in the limit of a divergent two-body scattering length. Using an epsilon expansion around d=4-epsilon spatial dimensions we compute the coefficient of the leading correction beyond the local density approximation (LDA). In the case of N fermionic atoms trapped in a harmonic potential this correction has the form E=E_(LDA)(1+c_s (3N)^(-2/3)), where E_(LDA) is the total energy in LDA approximation. At next-to-leading order in the epsilon expansion we find c_s=1.68, which is significantly larger than the result for non-interacting fermions, c_s=0.5.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-11-17T15:42:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.20.Jz",
      "71.15.Mb"
    ],
    "keywords": [
      "density functional theory",
      "non-relativistic fermions",
      "unitarity limit",
      "epsilon expansion",
      "non-relativistic spin one-half fermions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nuclear Physics A",
      "year": 2009,
      "month": "Jan",
      "volume": 816,
      "number": 1,
      "pages": 52
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 783628,
      "adsabs": "2009NuPhA.816...52R"
    }
  }
}