{
  "id": "1706.04886",
  "version": "v1",
  "published": "2017-06-15T14:22:46.000Z",
  "updated": "2017-06-15T14:22:46.000Z",
  "title": "Pair states in one-dimensional Dirac systems",
  "authors": [
    "R. R. Hartmann",
    "M. E. Portnoi"
  ],
  "comment": "14 pages and 6 figures",
  "journal": "Phys. Rev. A 95, 062110 (2017)",
  "doi": "10.1103/PhysRevA.95.062110",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "Analytic solutions of the quantum relativistic two-body problem are obtained for an interaction potential modeled as a one-dimensional smooth square well. Both stationary and moving pairs are considered and the limit of the {\\delta}-function interaction is studied in depth. Our result can be utilized for understanding excitonic states in narrow-gap carbon nanotubes. We also show the existence of bound states within the gap for a pair of particles of the same charge.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-15T14:22:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional dirac systems",
      "pair states",
      "quantum relativistic two-body problem",
      "narrow-gap carbon nanotubes",
      "one-dimensional smooth square"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}