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

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

2001-06-10

arxiv.org/abs/cond-mat/0106186v1

Physical Review B 64, 153101 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 figures

Scientific paper

10.1103/PhysRevB.64.153101

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 exchange and correlation kernel $K_{xc}(r)$, which represents a key input for density functional studies of inhomogeneous systems.

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