{
  "id": "cond-mat/0104297",
  "version": "v1",
  "published": "2001-04-17T12:20:47.000Z",
  "updated": "2001-04-17T12:20:47.000Z",
  "title": "Numerical Renormalization Group Analysis of Interacting Quantum Dots",
  "authors": [
    "Walter Hofstetter"
  ],
  "comment": "Invited talk at the DPG spring meeting 2001, to appear in Advances in Solid State Physics 41",
  "journal": "Advances in Solid State Physics 41, 27 (2001)",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "Wilson's Numerical Renormalization Group (NRG) is so far the only nonperturbative technique that can reliably access low-energy properties of quantum impurity systems. We present a recent extension of the method, the DM-NRG, which yields highly accurate results for dynamical quantities at arbitrary frequencies and temperatures. As an application, we determine the spectrum of a quantum dot in an external magnetic field. Furthermore, we discuss magnetic impurities with orbital degeneracy, which have been inferred in recent experiments on quantum dots in an Aharonov-Bohm geometry. It is demonstrated that for spinless electrons, interference between neighbouring levels sets the low-energy scale of the system. Switching on an external field leads to a remarkable crossover into a regime dominated by orbital Kondo screening. We predict that the broadening-induced level splitting should be clearly visible in measurements of the optical absorption power. A more general model including the electron spin is studied within an extended two-band NRG procedure. We observe competition between interference and Kondo screening, similar to the situation in two-impurity models (RKKY).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-04-17T12:20:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "numerical renormalization group analysis",
      "interacting quantum dots",
      "extended two-band nrg procedure",
      "reliably access low-energy properties",
      "quantum impurity systems"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001AdSSP..41...27H"
    }
  }
}