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Coupled cluster calculations are traditionally performed over Hartree-Fock reference orbitals (HF-CC methodology). However, it has been repeatedly argued in the literature that the use of a Kohn-Sham reference (KS-CC methodology) might…

化学物理 · 物理学 2025-03-10 Zsolt Benedek , Paula Tímár , Tibor Szilvási , Gergely Barcza

Double hybrid density functional theory arguably sits on the seamline between wavefunction methods and DFT: it represents a special case of Rung 5 on the "Jacobs Ladder" of John P. Perdew. For large and chemically diverse benchmarks such as…

化学物理 · 物理学 2020-10-16 Jan M. L. Martin , Golokesh Santra

The recently developed hypercomplex Kohn-Sham (HCKS) theory shows great potential to overcome the static/strong correlation issue in density functional theory (DFT), which highlights the necessity of further exploration of the HCKS theory…

化学物理 · 物理学 2022-03-16 Neil Qiang Su

The positive definite Kohn-Sham kinetic energy(KS-KE) density plays crucial role in designing semilocal meta generalized gradient approximations(meta-GGAs) for low dimensional quantum systems. It has been rigorously shown that near nucleus…

材料科学 · 物理学 2017-03-17 Subrata Jana , Prasanjit Samal

This work presents a theory to unify the two independent theoretical frameworks of Kohn-Sham (KS) density functional theory (DFT) and reduced density matrix functional theory (RDMFT). The generalization of the KS orbitals to hypercomplex…

化学物理 · 物理学 2021-11-18 Neil Qiang Su

For properties of interacting electron systems, Kohn-Sham (KS) theory is often favored over many-body perturbation theory (MBPT) owing to its low computational cost. However, the exact KS potential can be challenging to approximate, for…

材料科学 · 物理学 2021-01-15 Jack Wetherell , Matthew Hodgson , Leopold Talirz , Rex Godby

The practical utility of M{\o}ller-Plesset (MP) perturbation theory is severely constrained by the use of Hartree-Fock (HF) orbitals. It has recently been shown that use of regularized orbital-optimized MP2 orbitals and scaling of MP3…

化学物理 · 物理学 2021-01-06 Adam Rettig , Diptarka Hait , Luke W. Bertels , Martin Head-Gordon

Double-hybrid density functional theory (DHDFT) offers a pathway to accuracies approaching composite wavefunction approaches like G4 theory. However, the GLPT2 (G{\"o}rling 2nd order perturbation theory) term causes them to partially…

化学物理 · 物理学 2022-10-13 Nisha Mehta , Jan M. L. Martin

Coupled cluster theory with a Kohn-Sham reference (KS-CC) can dramatically outperform its Hartree-Fock counterpart for strongly correlated systems, but the origin of these improvements has remained unclear. Here we demonstrate that these…

In two recent papers [A. D. Becke, J. Chem. Phys. 156, 214101 (2022) and 157, 234102 (2022)] we compared two Kohn-Sham density functionals based on physical modelling and theory with the best density-functional power-series fits in the…

化学物理 · 物理学 2023-04-18 Axel D. Becke , Golokesh Santra , Jan M. L. Martin

We investigate the potential performance improvements of double-hybrid density functionals by replacing the standard opposite-spin-scaled MP2 (SOS-MP2) with the modified opposite-spin-scaled MP2 (MOS-MP2) in the nonlocal correlation…

化学物理 · 物理学 2024-08-27 Golokesh Santra , Markus Bursch , Lukas Wittmann

The semilocal meta generalized gradient approximation (MGGA) for the exchange-correlation functional of Kohn-Sham (KS) density functional theory can yield accurate ground-state energies simultaneously for atoms, molecules, surfaces, and…

化学物理 · 物理学 2012-05-04 Jianwei Sun , Bing Xiao , Adrienn Ruzsinszky

A two-parameter extension of the density-scaled double hybrid approach of Sharkas et al. [J. Chem. Phys. 134, 064113 (2011)] is presented. It is based on the explicit treatment of a fraction of multideterminantal exact exchange. The…

化学物理 · 物理学 2012-01-12 Emmanuel Fromager

We have investigated the effect of F12 geminals on the basis set convergence of harmonic frequencies calculated using two representative double-hybrid density functionals, namely B2GP-PLYP and revDSD-PBEP86-D4. Like previously found for…

化学物理 · 物理学 2022-12-27 Nisha Mehta , Golokesh Santra , Jan M. L. Martin

Benchmarks that span a broad swath of chemical space, such as GMTKN55, are very useful for assessing progress in the quest for more universal DFT functionals. We find that the WTMAD2 metrics for a great number of functionals show a clear…

化学物理 · 物理学 2019-12-12 Golokesh Santra , Jan M. L. Martin

We have compared the performance of Grimme style DH/DSD and Zhang-Xu-Goddard type xDH/xDSD forms for double hybrids. In the DH and DSD forms, KS orbitals with elevated HF exchange and damped DFT correlation are used, while in the xDH and…

化学物理 · 物理学 2015-11-12 Manoj Kumar Kesharwani , Sebastian Kozuch , Jan M. L. Martin

In this short note, we present a rigorous derivation of the one-body double-hybrid density functional (OBDHF) theory, a self-consistent double-hybrid density functional framework that unifies the generalized Kohn-Sham (GKS) formalism with…

化学物理 · 物理学 2026-03-17 Lan Nguyen Tran

We compare two different approaches to investigations of many-electron systems. The first is the Hartree-Fock (HF) method and the second is the Density Functional Theory (DFT). Overview of the main features and peculiar properties of the HF…

材料科学 · 物理学 2009-11-07 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

Kohn-Sham (KS) formalism of Density Functional Theory is modified to include the systems with strong non-dynamic electron correlation. Unlike in extended KS and broken symmetry unrestricted KS formalisms, cases of both singlet-triplet and…

化学物理 · 物理学 2007-05-23 Artem Masunov

While CCSD(T) with spin-restricted Hartree-Fock (RHF) orbitals has long been lauded for its ability to accurately describe closed-shell interactions, the performance of CCSD(T) on open-shell species is much more erratic, especially when…

化学物理 · 物理学 2021-07-19 Luke W. Bertels , Joonho Lee , Martin Head-Gordon
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