The group-III nitrides are the semiconductors of utmost interest due to their fascinating properties and their performance under eminent conditions of temperature. Phonons play an important role in the electron transport, electron relaxation process, dynamical, thermodynamical properties, and many more properties. We have calculated the Phonon dispersion throughout the Brillouin zone, phonon density of state, specific heat and anisotropy for wurtzite phase of AlN and GaN. de Launey angular force constant model has been used in this study as this model includes many body interactions and is also better option for structures having partially covalent character. The calculated results are in good agreement with existing experimental data at zone centre and predict phonon dispersion throughout the Brillouin zone. The calculated specific heat also found to be obeying well known relation Cv = 3R. Keywords: Lattice dynamics, phonons, Phonon Dispersion Curve, Specific heat and PDOS
I. INTRODUCTIONThe nitride based semiconductors have attracted a considerable attention in last two decades due to their distinguished properties especially direct and wide band energy gap. The band gap of group-III nitrides enable these materials useful for optoelectronic devices, LED's, detectors operating in UV and visible spectrum and laser diodes. The important features of these materials like hardness, low compressibility, short bond length, high melting point and high thermal conductivity make them useful for high frequency and high power electronic device at extreme temperature [1,2,4]. These materials with large piezoelectric constant are highly significant to be used as sensors, low dimensional structures and high frequency devices [3]. The phonon study of the materials is the key for dynamical, optical transitions due to phonons, structural and thermodynamical properties. Moreover non radiative electron relaxation process and electronic transport are also influenced by excitations of phonons [5]. So the most desired properties are phonon dispersion curve and phonon density of state. The group-III nitrides have two crystallographic phases Zinc blende (cubic) and wurtzite phase. The Cubic phase has high symmetry but the wurtzite phase is considered as the most stable structure for nitride [6] and also can be used under ambient conditions. The Raman scattering and inelastic neutron scattering are mostly used to study phonons experimentally in bulk material. The most experimental studies have been investigated the phonon modes at zone centre using first order Raman scattering [7]. Most of the theoretical studies are calculating electronic band structure. The vibrational properties of these materials are studied by using number of empirical methods like rigid ion model, valence force model, ab intio calculation and keating model etc. lacks physical clarity [8,9,10]. The de Launey angular force constant model gives an excellent lattice dynamical solution by involving many particle interactions. Recently Zhang et al. [2] and Fu ...