Soft Phonon Anomalies in Relaxor Ferroelectrics

A review is given of the phonon anomalies, which have been termed ``waterfalls,‘’ that were recently discovered through a series of neutron inelastic scattering measurements on the lead-oxide relaxor systems PZN-xPT, PMN, and PZN. We discuss a simple coupled-mode model that has been used successfully to describe the basic features of the waterfall, and which relates this unusual feature to the presence of polar micro-regions.