Effect of the local coulomb interaction of strongly correlated electrons on phonon, elastic, and electronic properties of ZnSe crystals

The dispersions and densities of states of phonons in cubic ZnSe crystals have been calculated and the modification of these quantities with inclusion of the local Coulomb interaction $U$ of strongly correlated 3$d$(Zn) electrons has been investigated. It has been found that the inclusion of $U$ leads to a decrease in the frequencies of optical and longitudinal acoustic phonons and to an increase in the frequencies of transverse acoustic phonons in the entire Brillouin zone. To explain these specific features in the behavior of phonons, the modifications of elastic moduli and electron density of states with inclusion of $U$ have been analyzed.