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

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

2001-07-24

arxiv.org/abs/cond-mat/0107501v1

Physical Review B 64, 233110 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 3 figuers

Scientific paper

10.1103/PhysRevB.64.233110

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.

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