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Phonon-mediated thermal conductance of mesoscopic wires with rough edges

A. Kambili·G. Fagas·Vladimir I. Fal'ko·C. J. Lambert
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Abstract

We present an analysis of acoustic phonon propagation through long, free-standing, insulating wires with rough surfaces. Due to a crossover from ballistic propagation of the lowest-frequency phonon mode at $ω<ω_{1}=πc/W$ to a diffusive (or even localized) behavior upon the increase of phonon frequency, followed by re-entrance into the quasi-ballistic regime, the heat conductance of a wire acquires an intermediate tendency to saturate within the temperature range $T\sim \hbar ω_{1}/k_{B}$.

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A. Kambili, G. Fagas, Vladimir I. Fal'ko, C. J. Lambert. 1999-12-09. Phonon-mediated thermal conductance of mesoscopic wires with rough edges. https://doi.org/10.1103/physrevb.60.15593

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