{
  "id": "1811.11550",
  "version": "v1",
  "published": "2018-11-28T13:35:48.000Z",
  "updated": "2018-11-28T13:35:48.000Z",
  "title": "Signature of the transition to a bound state in thermoelectric quantum transport",
  "authors": [
    "Étienne Jussiau",
    "Masahiro Hasegawa",
    "Robert S. Whitney"
  ],
  "comment": "9 page preprint (7 figures)",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "We study a quantum dot coupled to two semiconducting reservoirs, when the dot level and the electrochemical potential are both close to a band edge in the reservoirs. This is modelled with an exactly solvable Hamiltonian without interactions (the Fano-Anderson model). The model shows an abrupt transition in its physics as the dot-reservoir coupling is increased, if the band's density of states goes to zero at the band edge. Then an infinite-lifetime bound state appears in the band gap, when the coupling is stronger than a critical value. We study the signature of this transition in the electric and thermoelectric responses, showing that they change very rapidly when the dot-reservoir coupling is close to its critical value. Typically, the thermoelectric figure of merit $ZT$ grows as the coupling approaches its critical value, but then drops sharply at the critical point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-28T13:35:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "thermoelectric quantum transport",
      "critical value",
      "band edge",
      "infinite-lifetime bound state appears",
      "quantum dot"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}