{
  "id": "1205.0374",
  "version": "v2",
  "published": "2012-05-02T10:56:16.000Z",
  "updated": "2012-10-26T09:10:56.000Z",
  "title": "Renormalization group approach for the scattering off a single Rashba impurity in a helical liquid",
  "authors": [
    "François Crépin",
    "Jan Carl Budich",
    "Fabrizio Dolcini",
    "Patrik Recher",
    "Björn Trauzettel"
  ],
  "comment": "4 pages, 2 figures. Corresponds to published version",
  "journal": "Phys. Rev. B 86, 121106(R) (2012)",
  "doi": "10.1103/PhysRevB.86.121106",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "The occurrence of two-particle inelastic backscattering has been conjectured in helical edge states of topological insulators and is expected to alter transport. In this Letter, by using a renormalization group approach, we provide a microscopic derivation of this process, in the presence of a time-reversal invariant Rashba impurity potential. Unlike previous approaches to the problem, we are able to prove that such an effect only occurs in the presence of electron-electron interactions. Furthermore, we find that the linear conductance as a function of temperature exhibits a crossover between two scaling behaviors: $T^{4K}$ for $K>1/2$ and $T^{8K-2}$ for $K<1/2$, with $K$ the Luttinger parameter.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-26T09:10:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "72.15.Nj",
      "72.25.-b",
      "85.75.-d"
    ],
    "keywords": [
      "renormalization group approach",
      "single rashba impurity",
      "helical liquid",
      "time-reversal invariant rashba impurity potential",
      "microscopic derivation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2012,
      "month": "Sep",
      "volume": 86,
      "number": 12,
      "pages": 121106
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvB..86l1106C"
    }
  }
}