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.
@article{arxiv.cond-mat/0106544,
title = {Phonon Spectrum in a Nanoparticle Mechanically Coupled to a Substrate},
author = {Kelly R. Patton and Michael R. Geller},
journal= {arXiv preprint arXiv:cond-mat/0106544},
year = {2009}
}