Long-range correlation and local increments

Hermann Stoll

Universität Stuttgart, Theoretische Chemie, Stuttgart, Germany

DFT is nowadays the method of choice for large molecules and extended systems, but standard LDA, GGA, and meta-GGA functionals have problems for van der Waals interaction and do not allow for a systematic improvement.

Part of these weaknesses can be overcome by restricting DFT to a short-range interelectronic interaction and using wavefunction-based ab-initio methods for the complementary long-range terms. It is shown that a both accurate and efficient treatment is possible at intermediate values of the coupling constant [1].

Still, application to extended systems necessitates a local correlation treatment on the ab-initio side. One of the simplest devices is a many-body expansion in terms of correlation contributions from localized orbital groups. Such an incremental expansion, on top of HF calculations, has proven to yield reliable results, at moderate cost, for a variety of solids (van der Waals crystals, ionic systems, semiconductors, and even metals) [2]. A possible application of the incremental method within a mixed DFT / ab-initio scheme will be discussed.

[1] E. Goll, H.-J. Werner, H. Stoll, Phys. Chem. Chem. Phys. 7 (2005) 3917; E. Goll, H.-J. Werner, H. Stoll, T. Leininger, P. Gori-Giorgi, A. Savin, Chem. Phys. 329 (2006) 276.

[2] H. Stoll, B. Paulus, P. Fulde, J. Chem. Phys 123 (2005) 144108; N. Gaston, B. Paulus, K. Rosciszewski, P. Schwerdtfeger, H. Stoll, Phys. Rev. B 74 (2006) 094102.

Back