Exchange-correlations in a Dilute Quasi-Two-Dimensional Electron Gas at Finite Temperature

We have studied the extent to which temperature and finite transversal confinement can influence the exchange-correlations in a dilute two-dimensional electron gas as realized in a narrow GaAs-based single quantum well. The correlations are treated within the self-consistent mean-field theory of Singwi et al. Numerical results are presented for the local-field correction factor at experimentally realized electron densities and temperature, choosing a harmonic confinement model. We find that the local-field correction factor, which is a direct measure of exchange-correlation correction to the bare Coulomb interaction potential, becomes less (at least over the currently accessible wave vector region to experiments) with increasing T/T-F and/or decreasing confinement; T-F is the Fermi temperature. These findings are expected to be useful in the theoretical understanding of dynamical excitation spectra and transport properties of a two-dimensional electron system.