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Theoretical phonon thermal conductivity of Si/Ge superlattice nanowires

J. Appl. Phys. 95, 682 (2004); doi:10.1063/1.1631734

Issue Date: 15 January 2004

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C. Dames and G. Chen
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
An incoherent particle model has been developed to calculate the phonon thermal conductivity of superlattice nanowires. This is an extension of the photon net-radiation method and Schuster–Schwarzschild approximation to dispersive acoustic phonons in a gray medium. By comparing the roughness and geometric variations of typical nanowires to the characteristic phonon wavelength (~1 nm at 300 K), diffuse scattering and incoherent three-dimensional dispersion are justified. An isotropic sine-type (Born–von Karman) dispersion is used, which requires only the sound velocity, atomic number density, and bulk conductivity to fully describe a material. A simple picture is also given in terms of Matthiessen's rule and three effective mean free paths. Agreement with available experimental data is poor at the smallest diameters, but good above 30 nm diameter. Compared to a conventional superlattice, calculations show that the additional sidewall scattering in a superlattice nanowire can reduce the thermal conductivity by a factor of 2 or more. ©2004 American Institute of Physics.
History: Received 24 February 2003; accepted 19 October 2003
Permalink: http://link.aip.org/link/?JAPIAU/95/682/1
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KEYWORDS and PACS

Keywords
PACS
  • 66.70.+f
    Nonelectronic thermal conduction and heat-pulse propagation in solids including thermal waves
  • 63.22.+m
    Phonons or vibrational states in low-dimensional structures and nanoscale materials
  • 68.65.Cd
    Superlattices (structure and nonelectronic properties)
  • 68.65.La
    Quantum wires (structure and nonelectronic properties)
  • 81.05.Cy
    Elemental semiconductors: fabrication, treatment, testing and analysis
  • YEAR: 2004

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ISSN:
0021-8979 (print)   1089-7550 (online)
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