The growth modes of GaN thin films on an
AlN(0001) substrate are systematically investigated using our macroscopic
theory with the aid of empirical interatomic potential and ab initio
calculations. Using empirical interatomic potential calculations, we demonstrate
that a GaN/AlN(0001) system with misfit dislocation (MD) is stabilized compared
with a coherently grown system when the GaN film thickness exceeds six
monolayers. According to the calculated results including the surface energy of
GaN, the macroscopic free energy calculations for the growth mode imply that
the growth of GaN on AlN(0001) proceeds along the lower-energy path from
two-dimensional coherent (2D-coherent) to 2D-MD under Ga-rich conditions but
from 2D-coherent to three-dimensional coherent with truncated hexagonal pyramid
islands consisting of {${\rm{10}}\bar{1}3$} facets under N-rich conditions
owing to surface energy anisotropy, which depends strongly on the growth
conditions. These results suggest that surface energy anisotropy is crucial for
the growth of GaN on an AlN(0001) substrate.
Source:IOPscience
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