Phonon spectrum and group velocity calculation of cubic semiconductor quantum dot

Phonons play an important role in determining the electrical and thermal properties of semiconductors and other material systems. A mathematical model based on elastic continuum approach has been used for calculating the phonon dispersion of semiconductor cubic quantum dot. With this model acoustic phonon dispersions of an individual GaAs quantum dot are calculated for three different sizes to investigate the size effect on phonon spectra. Phonon group velocity has also been calculated for each phonon branch by numerical differentiation.