Resonance absorption, reflection, transmission of phonons and heat transfer through interface between two solids

Abstract

The different mechanisms of resonant transport of phonons between two media in the presence of impurity intermediate layer are described. Particular attention is focused on the resonance interaction of elastic waves with a two-dimensional defect on the contact boundary between two solids, on the multichannel interface phonon scattering and on the experimentally observed nonmonotonic temperature dependence of the reduced heat flux. In the cases when there is a direct interaction between edge atoms of the matrix as non-nearest neighbors or when the impurities do not fill completely the 2D interface layer, the additional channel for the transmission of phonons through the interface opens. This additional transmission channel manifests itself as a transmission (or reflection or absorption) peak with an asymmetric line shape (the so-called Fano resonance for phonons due to interference between the two transmission channels). Some applications of the Fano effect in magnon heat conductivity are also discussed. PACS: 63.20.-e Phonons in crystal lattices.

Phonon Interference and Energy Transport in Nonlinear Lattices with Resonance Defects

“…Here we implement large-scale molecular dynamics (MD) simulations of phonon wave packet propagation in 3D lattices that incorporate realistic lattice potentials, which properly account for the nonlinearities in the interatomic interactions. Our MD simulations of anomalous phonon reflection (interference antiresonances) of short-wavelength phonons from internal crystal plane with embedded defects in a 3D lattice confirm previous analytical results for anomalous reflection of long-wavelength phonons in a 3D crystal with planar distribution of resonance defects (with 2D planar resonance defect) [22,26] and of finite-wavelength phonons in 1D atomic chain with resonance defects [23,24]. In addition to the results on anomalous phonon scattering in harmonic lattices with resonance defects, we also show that the two-path interference antiresonances remain pronounced even when the interaction nonlinearity becomes fairly strong in a real 3D lattice.…”

“…Phonon reflection is generated by exploiting the two-path phonon interference on internal crystal planes with embedded defects. The 2D planar defects force phonons to propagate through the two paths: through unperturbed (matrix) and perturbed (defect) interatomic bonds [22][23][24]. The resulting phonon interference gives antiresonances (zero-transmission resonances) in the phonon transmission spectra that can be controlled by the masses, force constants and 2D concentration of the defect atoms.…”

On linear waveguides of square and triangular lattice strips: an application of Chebyshev polynomials

“…Note that (21) also holds due to (44) and (40). Again the expressions r 2 ¼ Q þ 2; h 2 ¼ Q À 2 hold and k is given by (19).…”

“…in harmonic approximation [12,28,29] and also in the presence of impurities [30,31], vibrations of macromolecules appearing in biological [32], chemical applications [33], etc. The technological interests, some of them quite recent, involving phononic [34,35], photonic [35][36][37], electronic [38][39][40][41], phonon [35,37,[42][43][44][45], mechanical [46][47][48] and magnetic-spin related transport [49][50][51], in nanostructures cannot be excluded as well; these apparently diverse applications involve the governing equations, which have similar mathematical structure, sometimes identical, to those analysed in this document.…”

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

“…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].…”