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Standard approximations for the exchange-correlation functional have been found to give big errors for the linearity condition of fractional charges, leading to delocalization error, and the constancy condition of fractional spins, leading…

Strongly Correlated Electrons · Physics 2009-11-13 Paula Mori-Sanchez , Aron J. Cohen , Weitao Yang

Kohn-Sham DFT with optimally tuned range-separated hybrid (RSH) functionals provides accurate and nonempirical fundamental gaps for a wide variety of finite-size systems. The standard tuning procedure relies on calculation of total energies…

Materials Science · Physics 2021-03-05 Wenfei Li , Vojtech Vlcek , Helen Eisenberg , Eran Rabani , Roi Baer , Daniel Neuhauser

Real-time time-dependent density functional theory (RT-TDDFT) is a powerful approach for investigating various ultrafast phenomena in materials. However, most existing RT-TDDFT studies rely on adiabatic local or semi-local approximations,…

Materials Science · Physics 2025-12-23 Yuyang Ji , Haotian Zhao , Peize Lin , Xinguo Ren , Lixin He

We present a novel method that appropriately handles both dynamical and static electron correlation in a balanced manner, using a perturbation theory on a spin-extended Hartree-Fock (EHF) wave function reference. While EHF is a suitable…

Strongly Correlated Electrons · Physics 2015-06-22 Takashi Tsuchimochi , Troy Van Voorhis

We assess a variant of linear-response range-separated time-dependent density-functional theory (TDDFT), combining a long-range Hartree-Fock (HF) exchange kernel with a short-range adiabatic exchange-correlation kernel in the local-density…

Chemical Physics · Physics 2013-05-22 Julien Toulouse , Elisa Rebolini , Tim Gould , John F. Dobson , Prasenjit Seal , János G. Angyán

Spin is a fundamental property of any many-electron system. The ability of density functional theory to accurately predict the physical properties of a system, while varying its spin, is crucial for describing magnetic materials and…

Chemical Physics · Physics 2024-11-05 Alon Hayman , Eli Kraisler , Tamar Stein

We present a new method for the calculation of fragment size correlations in a discrete finite system in which correlations explicitly due to the finite extent of the system are suppressed. To this end, we introduce a combinatorial model,…

Nuclear Experiment · Physics 2009-11-07 Pierre Desesquelles

Empirical fitting of parameters in approximate density functionals is common. Such fits conflate errors in the self-consistent density with errors in the energy functional, but density-corrected DFT (DC-DFT) separates these two. We…

Chemical Physics · Physics 2020-12-02 Suhwan Song , Stefan Vuckovic , Eunji Sim , Kieron Burke

Range separated hybrid density functionals are very successful in describing a wide range of molecular and solid state properties accurately. Range separated hybrid functionals are designed from spherically averaged or system averaged…

Materials Science · Physics 2017-12-15 Subrata Jana , Prasanjit Samal

We present a comparative study of the spatial distribution of the spin density (SD) of the ground state of CuCl2 using Density Functional Theory (DFT), quantum Monte Carlo (QMC), and post-Hartree-Fock wavefunction theory (WFT). A number of…

Chemical Physics · Physics 2016-07-25 Michel Caffarel , Emmanuel Giner , Anthony Scemama , Alejandro Ramírez-Solís

A previously proposed non-canonical coupled-perturbed Kohn-Sham density functional theory (KS-DFT)/Hartree-Fock (HF) treatment for spin-orbit coupling is here generalized to infinite periodic systems. The scalar-relativistic periodic…

We provide a rigorous derivation of a class of double-hybrid approximations, combining Hartree-Fock exchange and second-order Moller-Plesset correlation with a semilocal exchange-correlation density functional. These double-hybrid…

Chemical Physics · Physics 2011-02-21 Kamal Sharkas , Julien Toulouse , Andreas Savin

Selecting excitations in localized orbitals to calculate long-range correlation contributions to range-separated density-functional theory can reduce the overall computational effort significantly. Beyond simple selection schemes of excited…

Chemical Physics · Physics 2016-02-29 E Chermak , Peter Reinhardt , Bastien Mussard , Janos Angyan

Delocalization errors, such as charge-transfer and some self-interaction errors, plague computationally-efficient and otherwise-accurate density functional approximations (DFAs). Evaluating a semi-local DFA non-self-consistently on the…

Chemical Physics · Physics 2023-01-02 Aaron D. Kaplan , Chandra Shahi , Pradeep Bhetwal , Raj K. Sah , John P. Perdew

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…

Chemical Physics · Physics 2026-03-17 Lan Nguyen Tran

We present the theory and implementation of a fully variational wave function -- density functional theory (DFT) hybrid model, which is applicable to many cases of strong correlation. We denote this model the multiconfigurational…

We present a new charge self-consistent scheme combining Density Functional and Dynamical Mean Field Theory, which uses Green's function of multiple scattering-type. In this implementation the many-body effects are incorporated into the…

Strongly Correlated Electrons · Physics 2017-10-11 A. Östlin , L. Vitos , L. Chioncel

We revisit the problem of unphysical charge density delocalization/fractionalization induced by the self-interaction error of common approximate Kohn-Sham Density Functional Theory functionals on simulation of small to medium-size proteins…

Chemical Physics · Physics 2024-07-30 Samuel A. Slattery , Jaden C. Yon , Edward F. Valeev

The density functional approach in the Kohn-Sham approximation is widely used to study properties of many-electron systems. Due to the nonlinearity of the Kohn-Sham equations, the general self-consistence searching method involves…

Materials Science · Physics 2015-05-13 D. V. Posvyanskii , A. Ya. Shul'man

When calculating properties of periodic systems at the thermodynamic limit (TDL), the dominant source of finite size error (FSE) arises from the long-range Coulomb interaction, and can manifest as a slowly converging quadrature error when…

Computational Physics · Physics 2025-06-25 Stephen Jon Quiton , Juan D. F. Pottecher , Xin Xing , Martin Head-Gordon , Lin Lin