Journal
PHYSICAL REVIEW B
Volume 84, Issue 7, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.84.075403
Keywords
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Funding
- France's Agence Nationale de la Recherche
- Fondation Nanosciences
- Spanish Ministry of Science and Innovation
- European Regional Development Fund [FIS2008-04894/FIS]
- Directorate General for R + D + i of the Xunta de Galicia [INCITE09E2R206033ES, INCITE10PXIB206294PR]
- Spanish Ministry of Education
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By explicitly considering surface roughness at the atomic level, we quantitatively show that the thermal conductivity of Si nanowires can be lower than Casimir's classical limit. However, this violation only occurs for deep surface degradation. For shallow surface roughness, the Casimir formula is shown to yield a good approximation to the phonon mean free paths and conductivity, even for nanowire diameters as thin as 2.22 nm. Our exact treatment of roughness scattering is in stark contrast with a previously proposed perturbative approach, which is found to overpredict scattering rates by an order of magnitude. The obtained results suggest that a complete theoretical understanding of some previously published experimental results is still lacking.
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