Effects of phonon interference through long range interatomic bonds on thermal interface conductance
Haoxue Han1,2, Lei Feng3, Shiyun Xiong2, Takuma Shiga3, Junichiro Shiomi3, Sebastian Volz2, and Yuriy A. Kosevich4
1Theoretische Physikalische Chemie, Eduard-Zintl-Institut für Anorganische und Physikalische Chemie, Technische Universität Darmstadt. 4 Alarich-Weiss-Straße, Darmstadt 64287, Germany
2Laboratoire EM2C, CNRS, CentraleSupélec, Université Paris-Saclay, Grande Voie des Vignes 92295 Châtenay-Malabry cedex, France
3Department of Mechanical Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo, Japan
4Semenov Institute of Chemical Physics, Russian Academy of Sciences, 4 Kosygin Str., Moscow 119991, Russia
Received April 12, 2016
We investigate the role of two-path destructive phonon interference induced by interatomic bonds beyond the nearest neighbor in the thermal conductance of a silicon-germanium-like metasurface. Controlled by the ratio between the second and first nearest-neighbor harmonic force constants, the thermal conductance across a germanium atomic plane in the silicon lattice exhibits a trend switch induced by the destructive interference of the nearest-neighbor phonon path with a direct path bypassing the defect atoms. We show that bypassing of the heavy isotope impurity is crucial to the realization of the local minimum in the thermal conductance. We high-light the effect of the second phonon path on the distinct behaviors of the dependence of the thermal conductance on the impurity mass ratio. All our conclusions are confirmed both by Green’s Function calculations for the equivalent quasi-1D lattice models and by molecular dynamics simulations.
PACS: 65.80.–g Thermal properties of small particles, nanocrystals, nanotubes, and other related systems; PACS: 43.40.+s Structural acoustics and vibration; PACS: 63.20.–e Phonons in crystal lattices; PACS: 66.70.Lm Other systems such as ionic crystals, molecular crystals, nanotubes, etc.