A number of superstructures of the GaN (0001) surface have been investigate
d systematically by reflection high-energy electron diffraction, scanning t
unneling microscopy, and first-principles theoretical calculations. The GaN
-thin films are grown on the Si-terminated 6H-SiC (0001) surface by an N pl
asma-assisted molecular-beam epitaxy under the Ga-rich condition. While the
as-grown GaN surface is revealed to be a featureless 1x1 structure, post-g
rowth deposition of Ga at lower temperatures results in the formation of a
series of ordered structures, such as 2X2, 4X4, 5X5, 5 root 3X2 root 13, ro
ot 7X root 7, and 10x10 in the order of the increasing Ga coverage. An 1x1-
Ga-fluid structure is obtained with the highest Ga coverage. Neither ordere
d structure nor smooth morphology has been observed under the N-rich regime
. We conclude that the atomic structures of all these Ga-rich phases can be
described best by a Ga-adatom scheme. We further show that the 5x5 and 5 r
oot 3X2 root 13 phases are two configurations that exhibit a unique one-dim
ensional characteristic in the adatom arrangement. Their structures can be
understood by Peierls distortion against Fermi-surface instability under th
e Ga-adatom scheme. [S0163-1829(99)10719-7].