Mesoscopic phonon transmission through a nanowire-bulk contact

Chun-Min Chang and Michael R. Geller
Phys. Rev. B 71, 125304 – Published 9 March 2005

Abstract

We calculate the frequency-dependent mesoscopic acoustic phonon transmission probability through the abrupt junction between a semi-infinite, one-dimensional cylindrical quantum wire and a three-dimensional bulk insulator, using a perturbative technique that is valid at low frequency. The system is described using elasticity theory, and traction-free boundary conditions are applied to all free surfaces. In the low-frequency limit the transmission probability vanishes as ω2, the transport being dominated by the longitudinal channel, which produces a monopole source of elastic radiation at the surface of the bulk solid. The thermal conductance between an equilibrated wire nonadiabatically coupled to a bulk insulator should therefore vanish with temperature as T3.

  • Received 23 September 2004

DOI:https://doi.org/10.1103/PhysRevB.71.125304

©2005 American Physical Society

Authors & Affiliations

Chun-Min Chang and Michael R. Geller

  • Department of Physics and Astronomy, University of Georgia, Athens, Georgia 30602-2451, USA

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Issue

Vol. 71, Iss. 12 — 15 March 2005

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