Phonon-mediated thermal conductance of mesoscopic wires with rough edges

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 $\omega <{\omega }_1=\pi c/W$ 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 $T\sim \hslash {\omega }_1/k_B$.

4 pages, 3 figures included; minor changes and corrections, figures 1 and 2 replaced by better versions; to appear in PRB Brief Reports

References in corpus (4)

• Random-Matrix Theory of Quantum Transport
• Quantized thermal conductance of dielectric quantum wires
• Quantum energy flow in mesoscopic dielectric structures
• Yoctocalorimetry: phonon counting in nanostructures

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