{
  "id": "cond-mat/9610037",
  "version": "v1",
  "published": "1996-10-06T18:15:25.000Z",
  "updated": "1996-10-06T18:15:25.000Z",
  "title": "Transport in a one-dimensional Luttinger liquid",
  "authors": [
    "Matthew P. A. Fisher",
    "Leonid I. Glazman"
  ],
  "comment": "20 pages, including 7 Postscript figures. Paper to be published in \"Mesoscopic Electron Transport\", edited by L. Kowenhoven, G. Schoen and L. Sohn, NATO ASI Series E, Kluwer Ac. Publ., Dordrecht",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "In this paper we review recent theoretical results for transport in a one-dimensional (1d) Luttinger liquid. For simplicity, we ignore electron spin, and focus exclusively on the case of a single-mode. Moreover, we consider only the effects of a single (or perhaps several) spatially localized impurities. Even with these restrictions, the predicted behavior is very rich, and strikingly different than for a 1d non-interacting electron gas. The method of bosonization is reviewed, with an emphasis on physical motivation, rather than mathematical rigor. Transport through a single impurity is reviewed from several different perspectives, as a pinned strongly interacting ``Wigner\" crystal and in the limit of weak interactions. The existence of fractionally charged quasiparticles is also revealed. Inter-edge tunnelling in the quantum Hall effect, and charge fluctuations in a quantum dot under the conditions of Coulomb blockade are considered as examples of the developed techniques.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-10-06T18:15:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional luttinger liquid",
      "1d non-interacting electron gas",
      "quantum hall effect",
      "ignore electron spin",
      "coulomb blockade"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1996cond.mat.10037F"
    }
  }
}