{
  "id": "cond-mat/0011473",
  "version": "v2",
  "published": "2000-11-28T19:31:55.000Z",
  "updated": "2001-05-25T01:45:33.000Z",
  "title": "The Effect of Surface Roughness on the Universal Thermal Conductance",
  "authors": [
    "D. H. Santamore",
    "M. C. Cross"
  ],
  "comment": "10 pages, 5 figures. Ref. added, typo corrected",
  "journal": "Phys. Rev. B 63, 184306 (2001)",
  "doi": "10.1103/PhysRevB.63.184306",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We explain the reduction of the thermal conductance below the predicted universal value observed by Schwab et al. in terms of the scattering of thermal phonons off surface roughness using a scalar model for the elastic waves. Our analysis shows that the thermal conductance depends on two roughness parameters: the roughness amplitude $\\delta $ and the correlation length $a$. At sufficiently low temperatures the conductance decrease from the universal value quadratically with temperature at a rate proportional to $\\delta ^{2}a$. Values of $\\delta$ equal to 0.22 and $a$ equal to about 0.75 of the width of the conduction pathway give a good fit to the data.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-05-25T01:45:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "universal thermal conductance",
      "surface roughness",
      "thermal conductance depends",
      "correlation length",
      "predicted universal value"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}