EXCHANGE AND CORRELATION-EFFECTS IN A SEMICONDUCTOR QUANTUM-WELL WIRE

The exchange and correlation effects of a quasi-one-dimensional electr on gas are investigated hy using the self-consistent-field approximati on theory proposed by Singwi, Tosi, Land and Sjolander for the respons e function of the electron system. The present results are applied to GaAs-GaAlAs rectangular quantum-well-wires with the appropriate form f actors that take into account the influence of the finite width of the electron layer. The plasmon dispersion relation and structure factor are calculated as a function of electron density and thickness of the wire. Results for the total energy per electron including kinetic, exc hange and correlation energies and electron effective mass are present ed. The Hartree-Fock and the random-phase approximation (RPA) results are also presented for comparison. We have found that exchange and cor relation effects are more evident in wires of reduced dimensions.