{
  "id": "cond-mat/9710174",
  "version": "v1",
  "published": "1997-10-17T08:57:47.000Z",
  "updated": "1997-10-17T08:57:47.000Z",
  "title": "Gauge Fields, Mode Mixing and Local Density of States in a Quantum Point Contact",
  "authors": [
    "S. Ulreich",
    "W. Zwerger"
  ],
  "comment": "6 pages, 2 postscript figures, submitted to Europhysics Letters, LaTeX (with EuroMacr.tex, EuroPhys.sty)",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "It is shown that the elimination of the discrete transverse motion in a waveguide of arbitrary shape may be described in terms of a non-abelian gauge field for the longitudinal dynamics. This allows for an exact treatment of the scattering between different modes by eliminating the gauge field at the expense of a non-diagonal matrix of local subband energies. The method is applied to calculate the local density of states (LDOS) in a quantum point contact. Contrary to the total conductance which is well described by an adiabatic approximation, mode mixing turns out to play a crucial role for local properties like the LDOS.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-10-17T08:57:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum point contact",
      "local density",
      "mode mixing",
      "discrete transverse motion",
      "local subband energies"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997cond.mat.10174U"
    }
  }
}