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(ω) through a disordered planar interface between two identical semi - infinite leads. At high frequencies T(ω) exhibits a strong frequency dependence which is determined by the correlation length of the disorder.
@article{arxiv.cond-mat/9808025,
title = {Lattice-dynamical calculation of phonon scattering at a disordered interface},
author = {G. Fagas and A. G. Kozorezov and C. J. Lambert and J. K. Wigmore},
journal= {arXiv preprint arXiv:cond-mat/9808025},
year = {2009}
}
Comments
to appear in Physica B, proceedings of the 9th international conference on phonon scattering