Vibrations In Alloys Research Articles

Coherent locator approach to lattice vibrations in alloys with diagonal and geometrically-scaled off-diagonal disorder

A single-site coherent locator approach to lattice vibrations in alloys with both mass disorder and force-constant changes which obey geometric scaling has been proposed by Gr\"unewald. We show that this theory reduces to a virtual-crystal form for the special case of "equal" mass and force-constant changes, and that it fails to give satisfactory spectral limits for one- and three-dimensional model alloys.