Clathrates can form a type of guest-host solid structures that, unlike most crystalline solids, have very low thermal conductivity. It is generally thought that the guest atoms caged inside the host framework act as "rattlers" and induce lattice dynamics disorders responsible for the small thermal conductivity. We performed a systematic study of the lattice dynamical properties of type VIII clathrates with alkali and alkaline earth guests, i.e. X 8 Si 46 (X=Na, K, Rb, Cs, Ca, Sr, Ba). The energy dependent participation ratio (PR) and the atomic participation ratio of phonon modes extracted from density functional theory calculations revealed that the rattler concept is not adequate to describe the effect of fillers as they manifest strong hybridization with the framework. For the case of heavy fillers, such as Rb, Sr, Cs, and Ba, phonon bandgap was formed between the acoustic and optical branches. The calculated PR indicated that the fillers suppress the acoustic phonon modes and change the energy transport mechanism from propagative to diffusive or localized resulting in "phonon-glass" characteristics. This effect is stronger for the heavy fillers. Furthermore, in all cases, the guest insertion depressed the phonon bandwidth, reduced the Debye temperature, and reduced the phonon group velocity, all of which should lead to reduction of the thermal conductivity.
I. INTRODUCTIONClathrate semiconductors are among novel materials with excellent potential to fulfill the phonon-glass electron-crystal (PGEC) concept. These caged structure materials contain guest atoms which are believed to vibrate at very low frequencies inside the cages and scatter the acoustic phonons of the host and thereby lower the thermal conductivity. It is frequently stated that because the filler-host atomic bonding is weak, the presence of the fillers usually has little effect on the host electronic bands, so that the filler reduces the thermal conductivity without impairing the electrical properties [1]. Although, the rattler hypothesis is the most popular mechanism in explaining the behavior of the clathrates and skutterudites, the impact of the fillers on the lattice dynamical properties is not fully explained and yet remains an open question. Some observations such as the localized modes seen in inelastic neutron scattering and heat capacity measurements support empirically the rattling concept in skutterudites [2,3]. However, the inelastic neutron scattering (INS) experiments on Fe 4 Sb 12 containing Ce or Le filler indicated evidences for the existence of coherent propagation of filler phonons [4], which is inconsistent with the rattler concept. The INS studies of phonon dynamics in (La,Ce)Fe 4 Sb 12 skutterudites revisited the picture of rattling fillers in a host cage and the microscopic mechanism responsible for the scattering of heat carrier phonons. Furthermore, the results from the theoretical studies are also contradicting. The rattling behavior implies a resonant scattering resulting from the weak interaction between the filler ...