{
  "id": "1104.5710",
  "version": "v3",
  "published": "2011-04-29T19:53:27.000Z",
  "updated": "2011-11-24T19:52:55.000Z",
  "title": "Anomalous Fisher-like zeros for the canonical partition function of noninteracting fermions",
  "authors": [
    "R. K. Bhaduri",
    "A. MacDonald",
    "W. van Dijk"
  ],
  "comment": "5 pages and 5 figures",
  "journal": "EPL, 96 (2011) 56003",
  "doi": "10.1209/0295-5075/96/56003",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.quant-gas"
  ],
  "abstract": "Noninteracting fermions, placed in a system with a continuous density of states, may have zeros in the $N$-fermion canonical partition function on the positive real $\\beta$ axis (or very close to it), even for a small number of particles. This results in a singular free energy, and instability in other thermal properties of the system. In the context of trapped fermions in a harmonic oscillator, these zeros are shown to be unphysical. By contrast, similar bosonic calculations with continuous density of states yield sensible results.Noninteracting fermions, placed in a system with a continuous density of states yield sensible results.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-11-24T19:52:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "noninteracting fermions",
      "anomalous fisher-like zeros",
      "states yield sensible results",
      "continuous density",
      "fermion canonical partition function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.5710B"
    }
  }
}