Phonon Interference and Energy Transport in Nonlinear Lattices with Resonance Defects

Abstract

We introduce and model a three-dimensional atomic-scale phononic metamaterial producing two-path interference phonon antiresonances to control the heat flux spectrum. We show that a crystal plane partially filled with defect-atom arrays causes a total phonon reflection at the frequencies determined by masses and interaction forces. Such patterned atomic planes can be considered as high-finesse atomic-scale interference phonon metamirrors. We emphasize the predominant role of the second phonon path and destructive interference in the origin of the total reflection in comparison with the Fano-resonance concept. The random defect distribution in the plane and the anharmonicity of interatomic bonds do not deteriorate the interference antiresonances. The width of the interference antiresonance dip can provide a measure of the coherence length of the phonon wave packet. All our conclusions

Effects of phonon interference through long range interatomic bonds on thermal interface conductance

“…Such WP modeling provides the per-phonon-mode energy transmission coefficient [9] (see Appendix 4). The spatial width l (coherence length) of the WP is taken much larger than the wavelength c λ of the WP central frequency, corresponding to the plane-wave approximation [7,8]. The MD simulations were performed with the LAMMPS code package 〈 〉 atomic layer of guest Ge atoms.…”

“…Due to the wave nature of phonons, interference could play an important role in the thermal transport and hence impact the thermal interface resistance [4][5][6][7][8][9]. Destructive interference effects with total phonon reflection as a signature were discovered in acoustic systems [10,11].…”