Interfacial thermal transport in atomic junctions

TL;DR

This paper derives exact formulas for phonon transmission in atomic junctions, explaining thermal conductance behavior and interference effects, with implications for designing phonon filters and understanding interfacial thermal resistance.

Contribution

It provides analytical expressions for phonon transmission in atomic junctions and explores their implications for thermal transport and phonon filtering.

Findings

Transmission coefficient decreases with frequency in single junctions.

Thermal conductance peaks when interfacial coupling equals harmonic average.

Oscillatory transmission due to interference in two-junction chains.

Abstract

We study ballistic interfacial thermal transport across atomic junctions. Exact expressions for phonon transmission coefficients are derived for thermal transport in one-junction and two-junction chains, and verified by numerical calculation based on a nonequilibrium Green's function method. For a single-junction case, we find that the phonon transmission coefficient typically decreases monotonically with increasing freqency. However, in the range between equal frequency spectrum and equal acoustic impedance, it increases first then decreases, which explains why the Kapitza resistance calculated from the acoustic mismatch model is far larger than the experimental values at low temperatures. The junction thermal conductance reaches a maximum when the interfacial coupling equals the harmonic average of the spring constants of the two semi-infinite chains. For three-dimensional junctions, in the weak coupling limit, we find that the conductance is proportional to the square of the interfacial coupling, while for intermediate coupling strength the conductance is approximately proportional to the interfacial coupling strength. For two-junction chains, the transmission coefficient oscillates with the frequency due to interference effects. The oscillations between the two envelop lines can be understood analytically, thus providing guidelines in designing phonon frequency filters.