Phonon-mediated thermal conductance of mesoscopic wires with rough edges

Details Phonon-mediated thermal conductance of mesoscopic wires with rough edges Phonon-mediated thermal conductance of mesoscopic wires with rough edges

1999-05-12

arxiv.org/abs/cond-mat/9905171v2

Phys. Rev. B 60, pp 15593-15596 (1999)

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.60.15593

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 $T\sim \hbar \omega_{1}/k_{B}$.

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