Spin and temperature dependent study of exchange and correlation in thick two-dimensional electron layers

The exchange and correlation Exc of strongly correlated electrons in two-dimensional 2D layers of finite width are studied as a function of the density parameter rs, spin-polarization and the temperature T. We explicitly treat strong-correlation effects via pair-distribution functions, and introduce an equivalent constantdensity approximation CDA applicable to all the inhomogeneous densities encountered here. The width w defined via the CDA provides a length scale defining the z-extension of the quasi-2D layer resident in the x-y plane. The correlation energy Ec of the quasi-2D system is presented as an interpolation between a one-dimensional 1D gas of electron-rods for w /rs 1 coupled via a log r interaction, and a threedimensional 3D Coulomb fluid closely approximated from the known three-dimensional correlation energy when w /rs is small. Results for the Exc rs , ,T , the transition to a spin-polarized phase, the effective mass m*, the Landé g-factor, etc., are reported here.