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Analytical expressions for the local-field factor G(q) and the exchange-correlation kernel K_{xc}(r) of the homogeneous electron gas

Massimiliano Corradini·Rodolfo Del Sole·Giovanni Onida·Maurizia Palummo
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Abstract

We present an analytical expression for the local field factor G(q) of the homogeneous electron gas which reproduces recently published Quantum Monte--Carlo data by S. Moroni, D.M. Ceperley, and G. Senatore [Phys. Rev. Lett. 75, 689 (1995)], reflects the theoretically known asymptotic behaviours for both small and large q limits, and allows to express the exchange-correlation kernel K_{xc} analytically in both the direct and reciprocal spaces. The last property is particularly useful in numerical applications to real solids

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Massimiliano Corradini, Rodolfo Del Sole, Giovanni Onida, Maurizia Palummo. 1998-03-18. Analytical expressions for the local-field factor G(q) and the exchange-correlation kernel K_{xc}(r) of the homogeneous electron gas. https://doi.org/10.1103/physrevb.57.14569

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