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Absence of Casimir regime in two-dimensional nanoribbon phonon conduction
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/content/aip/journal/apl/99/10/10.1063/1.3635394
2011-09-07
2015-03-03

Abstract

In stark contrast with three-dimensional (3D) nanostructures, we show that boundary scattering in two-dimensional (2D) nanoribbons alone does not lead to a finite phonon mean free path. If combined with an intrinsic scattering mechanism, 2D boundary scattering does reduce the overall mean free path; however, the latter does not scale proportionally to the ribbon width, unlike the well known Casimir regime occurring in 3D nanowires. We show that boundary scattering can be accounted for by a simple Mathiessen-type approach for many different 3D nanowire cross sectional shapes; however, this is not possible in the 2D nanoribbon case, where a complete solution of the Boltzmann transport equation is required. These facts have strong implications for the thermal conductivity of suspended nanostructures.

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Scitation: Absence of Casimir regime in two-dimensional nanoribbon phonon conduction
http://aip.metastore.ingenta.com/content/aip/journal/apl/99/10/10.1063/1.3635394
10.1063/1.3635394
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