Singles correlation energy contributions in solids

Author(s)
Jiri Klimes, Merzuk Kaltak, Emanuele Maggio, Georg Kresse
Abstract

The random phase approximation to the correlation energy often yields highly accurate results for condensed matter systems. However, ways how to improve its accuracy are being sought and here we explore the relevance of singles contributions for prototypical solid state systems. We set out with a derivation of the random phase approximation using the adiabatic connection and fluctuation dissipation theorem, but contrary to the most commonly used derivation, the density is allowed to vary along the coupling constant integral. This yields results closely paralleling standard perturbation theory. We re-derive the standard singles of Görling-Levy perturbation theory [A. Görling and M. Levy, Phys. Rev. A 50, 196 (1994)], highlight the analogy of our expression to the renormalized singles introduced by Ren and coworkers [Phys. Rev. Lett. 106, 153003 (2011)], and introduce a new approximation for the singles using the density matrix in the random phase approximation. We discuss the physical relevance and importance of singles alongside illustrative examples of simple weakly bonded systems, including rare gas solids (Ne, Ar, Xe), ice, adsorption of water on NaCl, and solid benzene. The effect of singles on covalently and metallically bonded systems is also discussed.

Organisation(s)
Computational Materials Physics
External organisation(s)
Charles University Prague, Czech Academy of Sciences
Journal
Journal of Chemical Physics
Volume
143
No. of pages
13
ISSN
0021-9606
DOI
https://doi.org/10.1063/1.4929346
Publication date
09-2015
Peer reviewed
Yes
Austrian Fields of Science 2012
103025 Quantum mechanics, 103036 Theoretical physics, 103015 Condensed matter, 103009 Solid state physics
Keywords
ASJC Scopus subject areas
Physics and Astronomy(all), Physical and Theoretical Chemistry
Portal url
https://ucris.univie.ac.at/portal/en/publications/singles-correlation-energy-contributions-in-solids(1732f8ab-9c57-44c2-8abf-d4e03c005658).html