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Published September 10, 2001 | public
Journal Article Open

Effect of phonon scattering by surface roughness on the universal thermal conductance

Abstract

The effect of phonon scattering by surface roughness on the thermal conductance in mesoscopic systems at low temperatures is calculated using full elasticity theory. The low frequency behavior of the scattering shows novel power law dependences arising from the unusual properties of the elastic modes. This leads to new predictions for the low temperature depression of the thermal conductance below the ideal universal value. Comparison with the data of Schwab et al. [Nature (London) 404, 974 (2000)] suggests that surface roughness on a scale of the width of the thermal pathway is important in the experiment.

Additional Information

©2001 The American Physical Society. Received 21 May 2001; published 24 August 2001. This work was supported by NSF Grant No. DMR-9873573.

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