Phonon Spectrum in a Nanoparticle Mechanically Coupled to a Substrate
arXiv:cond-mat/0106544 · doi:10.1016/S0022-2313(01)00358-1
Abstract
We calculate the vibrational density-of-states in an insulating nanoparticle that is in weak mechanical contact with a semi-infinite substrate. The work is motivated by a recent experiment by Yang et al., where the low-energy phonon density-of-states of Y2O3 nanoparticles doped with Eu was measured. Preliminary results presented here, based on the conventional quasiparticle-pole approximation for the phonon propagator, are in reasonable agreement with experiment.
3 pages, 2 figures, Revtex