Lattice-dynamical calculation of phonon scattering at a disordered interface

TL;DR

This paper presents an exact calculation of phonon transmission at a disordered interface in lattice models, revealing frequency-dependent scattering influenced by disorder correlation length.

Contribution

It introduces an exact method for computing phonon transmission through disordered interfaces in lattice models, highlighting the impact of disorder correlation length.

Findings

High-frequency phonon transmission strongly depends on disorder correlation length.

Transmission coefficient T(ω) varies significantly with frequency at high frequencies.

The method applies to both fcc crystals with central force interactions and scalar square lattice models.

Abstract

For an fcc crystal with central force interactions and separately for a scalar model on a square lattice, we compute exactly the phonon transmission coefficient $T(\omega)$ through a disordered planar interface between two identical semi - infinite leads. At high frequencies $T(\omega)$ exhibits a strong frequency dependence which is determined by the correlation length of the disorder.