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Onset of size effects in lattice thermal conductivity and lifetime of low-frequency thermal phonons

Published online by Cambridge University Press:  14 February 2012

A.A. Maznev
A.A. Maznev*
Affiliation:
Dept. of Chemistry, Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A.
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Abstract

The onset of size effects in phonon-mediated thermal transport along a thin film at temperatures comparable or greater than the Debye temperature is analyzed theoretically. Assuming a quadratic frequency dependence of phonon relaxation rates in the low-frequency limit, a simple closed-form formula for the reduction of the in-plane thermal conductivity of thin films is derived. The effect scales as the square root of the film thickness, which leads to the prediction of measurable size-effects even at “macroscopic” distances ~100 μm. However, this prediction needs to be corrected to account for the deviation from the ω−2 dependence of phonon lifetimes at sub-THz frequencies due to the transition from Landau-Rumer to Akhiezer mechanism of phonon dissipation.

Keywords

thermal conductivitythin filmSi
Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 1404: Symposium W – Phonons in Nanomaterials–Theory, Experiments and Applications , 2012 , mrsf11-1404-w03-09
Copyright
Copyright © Materials Research Society 2012

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