{
  "id": "0803.2465",
  "version": "v1",
  "published": "2008-03-17T15:05:30.000Z",
  "updated": "2008-03-17T15:05:30.000Z",
  "title": "Coupled quantum wires",
  "authors": [
    "D. Makogon",
    "N. de Jeu",
    "C. Morais Smith"
  ],
  "comment": "11 pages, 10 figures",
  "journal": "Phys. Rev. B 78, 115123 (2008)",
  "doi": "10.1103/PhysRevB.78.115123",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We study a set of crossed 1D systems, which are coupled with each other via tunnelling at the crossings. We begin with the simplest case with no electron-electron interactions and find that besides the expected level splitting, bound states can emerge. Next, we include an external potential and electron-electron interactions, which are treated within the Hartree approximation. Then, we write down a formal general solution to the problem, giving additional details for the case of a symmetric external potential. Concentrating on the case of a single crossing, we were able to explain recent experinents on crossed metallic and semiconducting nanotubes [J. W. Janssen, S. G. Lemay, L. P. Kouwenhoven, and C. Dekker, Phys. Rev. B 65, 115423 (2002)], which showed the presence of localized states in the region of crossing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-17T15:05:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.21.Hb",
      "73.22.-f",
      "73.23.Hk",
      "73.43.Jn"
    ],
    "keywords": [
      "coupled quantum wires",
      "electron-electron interactions",
      "formal general solution",
      "symmetric external potential",
      "simplest case"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2008,
      "month": "Sep",
      "volume": 78,
      "number": 11,
      "pages": 115123
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvB..78k5123M"
    }
  }
}