{
  "id": "cond-mat/9806255",
  "version": "v1",
  "published": "1998-06-22T07:48:37.000Z",
  "updated": "1998-06-22T07:48:37.000Z",
  "title": "Interaction-dependent enhancement of the localisation length for two interacting particles in a one-dimensional random potential",
  "authors": [
    "Mark Leadbeater",
    "Rudolf A. Roemer",
    "Michael Schreiber"
  ],
  "comment": "34 RevTeX 3.0 pages with 16 figures included",
  "journal": "Eur. Phys. J. B 8, 643-652 (1999)",
  "doi": "10.1007/s100510050732",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.str-el"
  ],
  "abstract": "We present calculations of the localisation length, $\\lambda_{2}$, for two interacting particles (TIP) in a one-dimensional random potential, presenting its dependence on disorder, interaction strength $U$ and system size. $\\lambda_{2}(U)$ is computed by a decimation method from the decay of the Green function along the diagonal of finite samples. Infinite sample size estimates $\\xi_{2}(U)$ are obtained by finite-size scaling. For U=0 we reproduce approximately the well-known dependence of the one-particle localisation length on disorder while for finite $U$, we find that $ \\xi_{2}(U) \\sim \\xi_2(0)^{\\beta(U)} $ with $\\beta(U)$ varying between $\\beta(0)=1$ and $\\beta(1) \\approx 1.5$. We test the validity of various other proposed fit functions and also study the problem of TIP in two different random potentials corresponding to interacting electron-hole pairs. As a check of our method and data, we also reproduce well-known results for the two-dimensional Anderson model without interaction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-06-22T07:48:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "71.55.Jv",
      "72.15.Rn",
      "71.30.+h"
    ],
    "keywords": [
      "one-dimensional random potential",
      "interacting particles",
      "interaction-dependent enhancement",
      "infinite sample size estimates",
      "one-particle localisation length"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "European Physical Journal B",
      "year": 1999,
      "month": "Apr",
      "volume": 8,
      "number": 4,
      "pages": 643
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999EPJB....8..643L"
    }
  }
}