Percolation of thermal conductivity in amorphous fluorocarbons

Marc G. Ghossoub, Jung Hyun Lee, Oksen T. Baris, David G. Cahill, Sanjiv Sinha

Research output: Contribution to journalArticlepeer-review


We report experimental evidence of the percolation of thermal conductivity in nanometer scale thin films of amorphous fluorocarbon, using time-domain thermoreflectance measurements. According to the theory of Phillips and Thorpe, rigidity percolation in covalent glasses results in a power-law dependence of the elastic modulus on the average coordination number. Our measurements show that thermal conductivity behaves similarly. We derive the relation between thermal conductivity and coordination number from the rigidity percolation model using the theory of minimum thermal conductivity. Experiments verify the individual validity of each of these models in the film samples. This paper elucidates the physics of heat conduction in covalently bonded amorphous solids near the percolation threshold.

Original languageEnglish (US)
Article number195441
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number19
StatePublished - Nov 23 2010

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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