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Effect of surface roughness on the universal thermal conductance

Santamore, D. H. and Cross, M. C. (2001) Effect of surface roughness on the universal thermal conductance. Physical Review B, 63 (18). Art. No. 184306. ISSN 0163-1829. https://resolver.caltech.edu/CaltechAUTHORS:SANprb01

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Abstract

We explain the reduction of the thermal conductance below the predicted universal value observed by Schwab et al. [Nature (London) 404, 974 (2000)] 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 δ and the correlation length a. At sufficiently low temperatures the ratio of the conductance to the universal value decreases quadratically with temperature at a rate proportional to δ2a. Values of δ equal to 22% and a equal to about 75% of the width of the conduction pathway give a good fit to the data.


Item Type:Article
Additional Information:©2001 The American Physical Society Received 22 November 2000; published 24 April 2001 The authors are grateful to Keith Schwab for providing the data and an electron micrograph of the experimental structure, and Miles Blencowe for carefully reading the manuscript and providing useful suggestions. This work was supported by NSF Grant No. DMR-9873573.
Issue or Number:18
Record Number:CaltechAUTHORS:SANprb01
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:SANprb01
Alternative URL:http://dx.doi.org/10.1103/PhysRevB.63.184306
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2729
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:24 Apr 2006
Last Modified:02 Oct 2019 22:56

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