Phonon-mediated thermal conductance of mesoscopic wires with rough edges
A. Kambili, G. Fagas, Vladimir I. Fal'ko, C. J. Lambert
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<ω1=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 ω1/kB.
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