Analytical expressions for the charge-charge local-field factor and the exchange-correlation kernel of a two-dimensional electron gas - art. no. 153101
B. Davoudi et al., Analytical expressions for the charge-charge local-field factor and the exchange-correlation kernel of a two-dimensional electron gas - art. no. 153101, PHYS REV B, 6415(15), 2001, pp. 3101
We present an analytical expression for the static many-body local field fa
ctor G(divided by)(q) of a homogeneous two-dimensional electron gas, which
reproduces diffusion Monte Carlo data and embodies the exact asymptotic beh
aviors at both small and large wave number q. This allows us to also provid
e a closed-form expression for the exchange and correlation kernel K-xc(r),
which represents a key input for density functional studies of inhomogenou
s systems.