Empirical spds^* tight-binding calculation for cubic semiconductors: General method and material parameters

An empirical tight-binding method for tetrahedrally coordinated cubic materials is presented and applied to group-IV and III-V semiconductors. The present spds^* method extends existing calculations by the inclusion of all five d orbitals per atom in the basis set. On-site energies and two-center integrals between nearest neighbors in the Hamiltonian are fitted to measured energies, pseudopotential results, and the free-electron band structure. We demonstrate excellent agreement with pseudopotential calculations up to about 6 eV above the valence-band maximum even without inclusion of interactions with more distant atoms and three-center integrals. The symmetry character of the Bloch functions at the X point is considerably improved by the inclusion of d orbitals. Density of states, reduced masses, and deformation potentials are correctly reproduced.