Short-range correlations in a two-dimensional electron gas

We construct a model for the value of the pair distribution function g(up arrow down arrow)(0) between antiparallel-spin electrons at contact in a two-dimensional electron gas with e(2)/r interactions, as a function of the coupling-strength parameter r(s). The model involves an interpolation between the result, of a low-r(s) expansion, including the second-order direct and exchange contributions to the energy in the paramagnetic state, and the result of a partial-wave phase-shift analysis near Wigner crystallization. The interpolation formula is in excellent agreement with many-body calculations based on the ladder approximation. We further show through an STLS self-consistent calculation that g(up arrow down arrow)(0) is essentially independent of the state of spin polarization of the electron gas.