Effect of boundary conditions on phonon transmission in a dielectric quantum waveguide

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Abstract
We investigate the effect of boundary conditions on the low temperature phonon transport in a quantum waveguide with structural defects by using the scattering-matrix method. A comparison between transmission coefficients is made when Neumann and Dirichlet boundary conditions are applied for acoustic modes, respectively. The result indicates that the behavior of the transmission coefficient versus reduced phonon frequency is qualitatively different for different boundary conditions. The stop-frequency gap and the transmission resonance are observed for certain structural parameters due to mode-mode coupling.

Keywords:
phonon transport /

mesoscopic systems /

boundary effect
Authors and contacts
Tang Li-Ming,

Wang Yan,

Wang Dan,

Wang Ling-Ling

1.
湖南大学应用物理系，长沙 410082
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