{
  "id": "cond-mat/9912371",
  "version": "v1",
  "published": "1999-12-20T17:42:03.000Z",
  "updated": "1999-12-20T17:42:03.000Z",
  "title": "Coulomb Drag between Quantum Wires",
  "authors": [
    "Rochus Klesse",
    "Ady Stern"
  ],
  "comment": "16 pages, 3 figures, revTeX",
  "doi": "10.1103/PhysRevB.62.16912",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We study Coulomb drag in a pair of parallel one-dimensional electron systems within the framework of the Tomanaga-Luttinger model. We find that Coulomb coupling has a much stronger effect on one dimensional wires than on two-dimensional layers: At zero temperature the trans-resistivity {\\em diverges}, due to the formation of locked charge density waves. At temperature well above a cross-over temperature $T^*$ the trans-resistivity follows a power law $\\rho \\propto T^x$, where the interaction-strength dependent exponent $x$ is determined by the Luttinger Liquid parameter $K_{c-}$ of the relative charge mode. At temperature below $T^*$ relative charge displacements are enabled by solitonic excitations, reflected by an exponential temperature dependence. The cross-over temperature $T^*$ depends sensitively on the wire width, inter-wire distance, Fermi wavelength and the effective Bohr radius. For wire distances $\\bar{d} \\gg k_F^{-1}$ it is exponentially suppressed with $T/E_F \\sim \\exp[ - \\bar{d} k_F / (1-K_{c-}) ]$. The behavior changes drastically if each of the two wires develop spin gaps. In this case we find that the trans-resistivity {\\em vanishes} at zero temperature. We discuss our results in view of possible experimental realizations in GaAs-AlGaAs semiconductor structures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-12-20T17:42:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum wires",
      "parallel one-dimensional electron systems",
      "zero temperature",
      "cross-over temperature",
      "locked charge density waves"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}