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Properties of short-range and long-range correlation energy density functionals from electron-electron coalescence

Paola Gori-Giorgi·Andreas Savin
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Abstract

The combination of density functional theory with other approaches to the many-electron problem through the separation of the electron-electron interaction into a short-range and a long-range contribution is a promising method, which is raising more and more interest in recent years. In this work some properties of the corresponding correlation energy functionals are derived by studying the electron-electron coalescence condition for a modified (long-range-only) interaction. A general relation for the on-top (zero electron-electron distance) pair density is derived, and its usefulness is discussed with some examples. For the special case of the uniform electron gas, a simple parameterization of the on-top pair density for a long-range only interaction is presented and supported by calculations within the ``extended Overhauser model''. The results of this work can be used to build self-interaction corrected short-range correlation energy functionals.

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BibTeXRIS

Paola Gori-Giorgi, Andreas Savin. 2006-02-10. Properties of short-range and long-range correlation energy density functionals from electron-electron coalescence. https://doi.org/10.1103/physreva.73.032506

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