The electronic structure of solid surfaces

We present a short review of the current status of electronic structure calculations for ordered solid surfaces. For the $s-p$ bonded metal surfaces, emphasis is centered entirely on self-consistent field (SCF) calculations employing a local density approximation for exchange and correlation. For semiconductor surfaces both SCF and empirical tight-binding methods are discussed, while for transition metal surfaces, where no SCF calculations have been carried out, a number of different schemes for solving Schrödinger's equation at a surface are reviewed that use plausible but not self-consistent forms for the surface potential. Finally, calculations for chemisorbed systems are briefly covered, with emphasis on ordered monolayers on semiconductor and transition metal surfaces.