Short-range correlation in a two-dimensional electron gas

Short-range correlation between electrons with antiparallel spins is considered for a two-dimensional electron gas. A model for the effective electron-electron interaction is constructed using a pseudo-linear-response treatment. This treatment rests on a parametric Thomas-Fermi-Weizs\"acker approximation for screening. The parameter is constrained by the electronic cusp condition for the induced hole. Comparison with results obtained by means of the ladder approximation for the effective interaction is presented. A remarkable agreement for the pair-correlation functions at zero interparticle separation is established.