“…First, we can rule out the possibility that the surface undulation comes from the atomic steps of annealed rplane sapphire formed during annealing as the same surface features were obtained on unannealed sapphire substrates, which does not have those atomic steps on its surface. One possible explanation is that the surface undulation may be caused by the disparity of migration lengths of adatoms along the two perpendicular directions, c-and m-directions, during growth, as shown in the case of high-index GaAs surfaces such as GaAs (3 3 1) [10]. This disparity of migration length could be enhanced with increasing temperature, therefore resulting in more significant surface undulation for a-plane GaN films at elevated growth temperature.…”