Structural and electronic properties of the As-rich GaAs(001)(2×{}4) reconstructions are investigated by means of converged first-principles total-energy calculations. For an As coverage of {Θ}=3/4, we find the two-dimer {β}2 phase to be energetically preferred over the three-dimer {β} phase. As the As chemical potential decreases, the {α} phase of GaAs(001) represents the ground state of the surface. All geometries are characterized by similar structural elements as As dimers with a length of about 2.5 {}, dimer vacancies, and a nearly planar configuration of the threefold-coordinated second-layer Ga atoms leading to a steepening of the dimer block. Consequently, the resulting electronic properties also have similar features. The surface band structures are dominated by filled As-dimer states and empty Ga dangling bonds close to the bulk valence- and conduction-band edge, respectively. The measured Fermi-level pinning cannot be related to intrinsic surface states. The calculated surface states and ionization energies support the {β}2 structure as the surface geometry for an As coverage of {Θ}=3/4. {} 1996 The American Physical Society.
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