Analytical expressions for the spin-spin local-field factor and the spin-antisymmetric exchange-correlation kernel of a two-dimensional electron gas

We present an analytical expression for the static many-body local-field factor G_-(q) of a homogeneous two-dimensional electron gas, which reproduces diffusion Monte Carlo data and embodies the exact asymptotic behaviors at both small and large wave number q. This allows us to also provide a closed-form expression for the spin-antisymmetric exchange and correlation kernel Kxc^-(r) which represents a key input for spin-density functional studies of inhomogeneous electronic systems.