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We present first-principles calculations for the fcc noble gas solids Ne, Ar, and Kr applying the adiabatic connection fluctuation-dissipation theorem (ACFDT) to evaluate the correlation energy. The ACFDT allows us to describe long-range correlation effects including London dispersion or van der Waals interaction on top of conventional density functional theory calculations. Even within the random phase approximation, the typical $1∕{V}^{2}$ volume dependence for the cohesive energy of the noble gas solids is reproduced, and equilibrium cohesive energies and lattice constants are improved compared to density functional theory calculations. Furthermore, we present atomization energies for ${\mathrm{H}}_{2}$, ${\mathrm{N}}_{2}$, and ${\mathrm{O}}_{2}$ within the same post-density-functional-theory framework, finding an excellent agreement with previously published data.
ADVERTISEMENT RETURN TO ISSUEPREVErratumNEXTORIGINAL ARTICLEThis notice is a correctionCorrection to GW Vertex Corrected Calculations for Molecular SystemsEmanuele Maggio*Emanuele MaggioMore by Emanuele Maggiohttp://orcid.org/0000-0002-5528-5117 and Georg Kresse*Georg KresseMore by Georg KresseCite this: J. Chem. Theory Comput. 2018, 14, 3, 1821Publication Date (Web):February 26, 2018Publication History Published online26 February 2018Published inissue 13 March 2018https://pubs.acs.org/doi/10.1021/acs.jctc.8b00129https://doi.org/10.1021/acs.jctc.8b00129correctionACS PublicationsCopyright © 2018 American Chemical Society. This publication is available under these Terms of Use. Request reuse permissions This publication is free to access through this site. Learn MoreArticle Views777Altmetric-Citations1LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InRedditEmail PDF (195 KB) Get e-Alertsclose Get e-Alerts
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The interaction of neutral interstitial–vacancy, interstitial–interstitial, and vacancy–vacancy pairs in silicon is investigated using ab initio calculations. Large supercells of 216 and 512 atoms are used in order to avoid cell-size effects at defect separations up to 11.6Å. For all three types of pairs significant interaction energies are found for orientations along 〈110〉 directions up to the maximum separation investigated. Moreover, a pronounced variation of the interaction energies is observed when changing the direction of the defect pair or the orientation of the defects within the pair. If re-orientation of the defects is allowed, the interactions at all separations investigated are attractive with the exception of the interstitial–interstitial pair oriented along 〈100〉.
Results for the lattice constants, atomization energies, and band gaps of typical semiconductors and insulators are presented for Hartree–Fock and second-order Møller–Plesset perturbation theory (MP2). We find that MP2 tends to undercorrelate weakly polarizable systems and overcorrelates strongly polarizable systems. As a result, lattice constants are overestimated for large gap systems and underestimated for small gap systems. The volume dependence of the MP2 correlation energy and the dependence of the MP2 band gaps on the static dielectric screening properties are discussed in detail. Moreover, the relationship between MP2 and the G0W0 quasiparticle energies is elucidated and discussed. Finally, we demonstrate explicitly that the correlation energy diverges with decreasing k-point spacing for metals.
Using first principles only, we calculate the melting point of MgO, also called periclase or magnesia. The random phase approximation (RPA) is used to include the exact exchange as well as local and nonlocal many-body correlation terms, in order to provide high accuracy. Using the free energy method, we obtain the melting temperature directly from the internal energies calculated with DFT. The free energy differences between the ensembles generated by the molecular dynamics simulations are calculated with thermodynamic integration or thermodynamic perturbation theory. The predicted melting temperature is ${T}_{m}^{\text{RPA}}=3043\ifmmode\pm\else\textpm\fi{}86\phantom{\rule{0.28em}{0ex}}\mathrm{K}$ and the values obtained with the PBE and SCAN functionals are ${T}_{m}^{\text{PBE}}=2747\ifmmode\pm\else\textpm\fi{}59\phantom{\rule{0.28em}{0ex}}\mathrm{K}$ and ${T}_{m}^{\text{SCAN}}=3032\ifmmode\pm\else\textpm\fi{}53\phantom{\rule{0.28em}{0ex}}\mathrm{K}$.
The random phase approximation (RPA) systematically overestimates the magnitude of the correlation energy and generally underestimates cohesive energies. This originates in part from the complete lack of exchange terms, which would otherwise cancel Pauli exclusion principle violating (EPV) contributions. The uncanceled EPV contributions also manifest themselves in form of an unphysical negative pair density of spin-parallel electrons close to electron-electron coalescence. We follow considerations of many-body perturbation theory to propose an exchange correction that corrects the largest set of EPV contributions while having the lowest possible computational complexity. The proposed method exchanges adjacent particle/hole pairs in the RPA diagrams, considerably improving the pair density of spin-parallel electrons close to coalescence in the uniform electron gas (UEG). The accuracy of the correlation energy is comparable to other variants of Second Order Screened Exchange (SOSEX) corrections although it is slightly more accurate for the spin-polarized UEG. Its computational complexity scales as $\mathcal O(N^5)$ or $\mathcal O(N^4)$ in orbital space or real space, respectively. Its memory requirement scales as $\mathcal O(N^2)$.