Short-range exchange-correlation energy of a uniform electron gas with modified electron-electron interaction

TL;DR

This paper computes the short-range exchange-correlation energy of a uniform electron gas with modified interactions, providing analytical and numerical results to develop local density approximations for these interactions.

Contribution

It introduces new calculations of short-range exchange-correlation energies with modified interactions, including analytical exchange functionals and fitted correlation data.

Findings

Analytical expressions for short-range exchange energies.

Numerical correlation energies fitted to analytical forms.

Construction of local density approximations for modified interactions.

Abstract

We calculate the short-range exchange-correlation energy of the uniform electron gas with two modified electron-electron interactions. While the short-range exchange functionals are calculated analytically, Coupled-Cluster and Fermi-hypernetted chain calculations are carried out for the correlation energy and the results are fitted to an analytical parametrization. These data enable to construct the local density approximation corresponding to these modified interactions.