Motivated by a recent experiment that reported the successful synthesis of hexagonal (h) AlN [Tsipas et al. Appl. Phys. Lett. 103, 251605 (2013)] we investigate structural, electronic and vibrational properties of bulk, bilayer and monolayer structures of h-AlN by using first-principles calculations. We show that the hexagonal phase of the bulk h-AlN is a stable direct-bandgap semiconductor. Calculated phonon spectrum displays a rigid-layer shear mode at 274 cm-1 and an Eg mode at 703 cm-1 which are observable by Raman measurements. In addition, single layer h-AlN is an indirect-bandgap semiconductor with a nonmagnetic ground state. For the bilayer structure, AA type stacking is found to be the most favorable one and interlayer interaction is strong. While N-layered h-AlN is an indirect bandgap semiconductor for N=1-10, we predict that thicker structures (N>10) have a direct-bandgap at the Gamma-point. The number-of-layer-dependent bandgap transitions in h-AlN is interesting in that it is significantly different from the indirect-to- direct crossover obtained in the transition metal dichalcogenides.
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