{
  "id": "cond-mat/0106033",
  "version": "v1",
  "published": "2001-06-03T14:37:10.000Z",
  "updated": "2001-06-03T14:37:10.000Z",
  "title": "Transmission Probability for Interacting Electrons Connected to Reservoirs",
  "authors": [
    "Akira Oguri"
  ],
  "comment": "18 pages, 16 figures",
  "journal": "J. Phys. Soc. Jpn. 70, 2666 (2001)",
  "doi": "10.1143/JPSJ.70.2666",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "Transport through small interacting systems connected to noninteracting leads is studied based on the Kubo formalism using a Eliashberg theory of the analytic properties of the vertex part. The transmission probability, by which the conductance is expressed as $g = (2e^2/h) \\int d\\epsilon (- \\partial f / \\partial \\epsilon) {\\cal T}(\\epsilon)$, is introduced for interacting electrons. Here $f(\\epsilon)$ is the Fermi function, and the transmission probability ${\\cal T}(\\epsilon)$ is defined in terms of a current vertex or a three-point correlation function. We apply this formulation to a series of Anderson impurities of size N (=1,2,3,4), and calculate ${\\cal T}(\\epsilon)$ using the order $U^2$ self-energy and current vertex which satisfy a generalized Ward identity. The results show that ${\\cal T}(\\epsilon)$ has much information about the excitation spectrum: ${\\cal T}(\\epsilon)$ has two broad peaks of the upper and lower Hubbard bands in addition to N resonant peaks which have direct correspondence with the noninteracting spectrum. The peak structures disappear at high temperatures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-06-03T14:37:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transmission probability",
      "interacting electrons",
      "current vertex",
      "reservoirs",
      "three-point correlation function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of the Physical Society of Japan",
      "year": 2001,
      "month": "Sep",
      "volume": 70,
      "number": 9,
      "pages": 2666
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001JPSJ...70.2666O"
    }
  }
}