Published May 1, 2001
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Journal Article
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Effect of surface roughness on the universal thermal conductance
- Creators
- Santamore, D. H.
- Cross, M. C.
Chicago
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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.
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.Files
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Additional details
- Eprint ID
- 2729
- Resolver ID
- CaltechAUTHORS:SANprb01
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2006-04-24Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field