Phonons in zinc-blende and wurtzite phases of GaN, AlN, and BN with the adiabatic bond-charge model

Abstract

The lattice dynamics of the zinc-blende and wurtzite phases of GaN, AlN, and BN is studied using the adiabatic bond-charge model. The resulting phonon spectra for zinc-blende GaN and AlN compare very well with ab initio calculations along symmetry directions. We discuss the effect of the internal parameter u on the ${A}_{1}(\mathrm{LO})$ and ${E}_{1}(\mathrm{LO})$ modes. We also present the angle dependence of the zone-center optical-phonon modes in the wurtzite phase. The anticrossing behavior of the ${A}_{1}$ acoustic and ${E}_{2}$ optical modes is also discussed.