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Surface scattering analysis of phonon transport in the quantum limit using an elastic model

Santamore, D. H. and Cross, M. C. (2002) Surface scattering analysis of phonon transport in the quantum limit using an elastic model. Physical Review B, 66 (14). Art. No. 144302. ISSN 0163-1829. doi:10.1103/PhysRevB.66.144302.

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We have investigated the effect on phonon energy transport in mesoscopic systems and the reduction in the thermal conductance in the quantum limit due to phonon scattering by surface roughness, using full three-dimensional elasticity theory for an elastic beam with a rectangular cross section. At low frequencies, we find power laws for the scattering coefficients that are strongly mode dependent, and different from the ω2 dependence, deriving from Rayleigh scattering of scalar waves, that is often assumed. The scattering gives contributions to the reduction in thermal conductance with the same power laws. At higher frequencies, the scattering coefficients becomes large at the onset frequency of each mode due to the flat dispersion here. We use our results to attempt a quantitative understanding of the suppression of the thermal conductance from the universal value observed in the experiment.

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Additional Information:©2002 The American Physical Society Received 10 April 2002; published 8 October 2002 This work was supported by NSF Grant No. DMR-9873573. We thank Ruben Krasnopolsky for help on the numerical codes.
Issue or Number:14
Record Number:CaltechAUTHORS:SANprb02
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2727
Deposited By: Archive Administrator
Deposited On:24 Apr 2006
Last Modified:08 Nov 2021 19:50

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