The electronic structure of clean and Ga- or N-covered 1 x 1 GaN(0001) and
GaN(000 (1) over bar) surfaces is studied using the local-density approxima
tion of density-functional theory employing ab initio pseudopotentials toge
ther with Gaussian orbital basis sets. We use both standard and self-intera
ction- and relaxation-corrected pseudopotentials. The latter allow for a mo
st accurate description of the electronic structure of these surfaces. Comp
aring the formation energies for the clean and adatom-covered 1x1 configura
tions, we determine optimal surface structures for various growth condition
s. For the GaN(0001) surface in the Gn-rich case, we iind a structural mode
l consisting of Ga adatoms adsorbed in T-4 positions above the substrate su
rface to be most favorable. In the N-rich case, the clean GaN(0001) surface
is the most stable 1x1 configuration. For the GaN(000 (1) over bar) surfac
e, our results for both Ga- and N-rich growth conditions indicate that a fu
ll monolayer of Ga adatoms adsorbed in on top positions is the most stable
configuration. Our theoretical results allow for a comparison of full calcu
lations of the surface electronic structure for a number of optimized struc
tural models with most recent angle-resolved photoemission spectroscopy dat
a.