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

Abstract

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 $K_{xc}^{-}(r)$ which represents a key input for spin-density functional studies of inhomogeneous electronic systems.

7 pages, 3 figuers

References in corpus (1)

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

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