Correlations in the Layered Electron Gas

The self-consistent theory of Singwi, Tosi, Land and Sjolander (STLS), which accounts for exchange and short-range correlation effects through an effective potential depending on the structure factor, is generalized to the Visscher and Falicov model of the layered electron gas. The complete numerical solution of the STLS self-consistent equations provides information about intraplane and interplane correlations. The local-field correction is obtained and compared with expressions from previous works, where the strong interplane coupling between the electrons is neglected. The pair correlation function, the correlation energy and the plasmon dispersion are evaluated for some typical values of the coupling constant rs of the electron system and the distance between the layers. For comparison, the Hubbard approximation and the random-phase approximation are also considered.