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We construct a nonlocal density functional approximation with full exact exchange, while preserving the constraint-satisfaction approach and justified error cancellations of simpler semilocal functionals. This is achieved by interpolating…

化学物理 · 物理学 2009-11-13 John P. Perdew , Viktor N. Staroverov , Jianmin Tao , Gustavo E. Scuseria

We develop relativistic short-range exchange energy functionals for four-component relativistic range-separated density-functional theory using a Dirac-Coulomb Hamiltonian in the no-pair approximation. We show how to improve the short-range…

化学物理 · 物理学 2020-06-24 Julien Paquier , Emmanuel Giner , Julien Toulouse

We investigate fractional-charge and fractional-spin errors in range-separated density-functional theory. Specifically, we consider the range-separated hybrid (RSH) method which combines long-range Hartree-Fock (HF) exchange with a…

化学物理 · 物理学 2017-03-08 Bastien Mussard , Julien Toulouse

The properties of many intrinsic defects in the wide band gap semiconductor LaAlO3 are studied using the screened hybrid functional of Heyd, Scuseria, and Ernzerhof (HSE). As in pristine structures, exact exchange included in the screened…

材料科学 · 物理学 2015-06-17 Fedwa El-Mellouhi , Edward N. Brothers , Melissa J. Lucero , Gustavo E. Scuseria

Self-consistent-field (SCF) approximations formulated using Hartree-Fock (HF) or Kohn-Sham Density Functional Theory (KS-DFT) both have the potential to yield multiple solutions. However, the formal relationship between multiple solutions…

化学物理 · 物理学 2021-01-06 Rhiannon A. Zarotiadis , Hugh G. A. Burton , Alex J. W. Thom

The crystalline structure of ground-state orthorhombic SrRuO$_3$ is reproduced by applying hybrid density functional theory scheme to the functionals based on the revised generalized-gradient approximations for solid-state calculations. The…

材料科学 · 物理学 2016-10-11 Š. Masys , V. Jonauskas

Hybrid density functional (HDF) approximations usually deliver higher accuracy than local and semilocal approximations to the exchange-correlation functional, but this comes with drastically increased computational cost. Practical…

材料科学 · 物理学 2022-10-12 Yuyang Ji , Peize Lin , Xinguo Ren , Lixin He

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…

化学物理 · 物理学 2011-02-21 Kamal Sharkas , Julien Toulouse , Andreas Savin

Within density-functional theory, the local-density approximation (LDA) correlation functional is typically built by fitting the difference between the near-exact and Hartree-Fock (HF) energies of the uniform electron gas (UEG), together…

化学物理 · 物理学 2017-05-01 Fergus J. M. Rogers , Caleb J. Ball , Pierre-François Loos

A long range corrected range separated hybrid functional is developed based on the density matrix expansion (DME) based semilocal exchange hole with Lee-Yang-Parr (LYP) correlation. An extensive study involving the proposed range separated…

材料科学 · 物理学 2017-09-05 Subrata Jana , Bikash Patra , Hemanadhan Myneni , Prasanjit Samal

DFT is used throughout nanoscience, especially when modeling spin-dependent properties that are important in spintronics. But standard quantum chemical methods (both CCSD(T) and self-consistent semilocal density functional calculations)…

化学物理 · 物理学 2017-08-29 Suhwan Song , Min-Cheol Kim , Eunji Sim , Anouar Benali , Olle Heinonen , Kieron Burke

In the description of the interaction between electrons beyond the classical Hartree picture, bare exchange often yields a leading contribution. Here we discuss its effect on optical spectra of solids, comparing three different frameworks:…

其他凝聚态物理 · 物理学 2009-11-11 Fabien Bruneval , Francesco Sottile , Valerio Olevano , Lucia Reining

HF-DFT, the practice of evaluating approximate density functionals on Hartree-Fock densities, has long been used in testing density functional approximations. Density-corrected DFT (DC-DFT) is a general theoretical framework for identifying…

化学物理 · 物理学 2021-10-18 Suhwan Song , Stefan Vuckovic , Eunji Sim , Kieron Burke

Density functional theory has been an essential analysis tool for both theoretical and experimental chemists since accurate hybrid functionals were developed. Here we propose a local hybrid method derived from the optimized effective…

化学物理 · 物理学 2017-03-24 Jaewook Kim , Kwangwoo Hong , Sang-Yeon Hwang , Seongok Ryu , Sunghwan Choi , Woo Youn Kim

We recently introduced an efficient methodology to perform density-corrected Hartree-Fock density functional theory (DC(HF)-DFT) calculations and an extension to it we called "corrected" HF DFT (C(HF)-DFT). In this work, we take a further…

化学物理 · 物理学 2023-11-10 Daniel Graf , Alex J. W. Thom

Most torsional barriers are predicted to high accuracy (about 1kJ/mol) by standard semilocal functionals, but a small subset has been found to have much larger errors. We create a database of almost 300 carbon-carbon torsional barriers,…

化学物理 · 物理学 2021-02-16 Seungsoo Nam , Eunbyol Cho , Kieron Burke , Eunji Sim

Density functionals with a range-separated treatment of the exchange energy are known to improve upon their semilocal forerunners and fixed-fraction hybrids. The conversion of a given semilocal functional into its short-range analog is not…

化学物理 · 物理学 2019-09-09 Dimitri N. Laikov

The balance between localised and delocalised electron distribution in the N,N'-dimethylpiperazine (DMP) molecule in the 3s Rydberg excited state and in the fully ionised DMP$^+$ provides a valuable test of density functionals, in…

We discuss various ways to handle self-interaction corrections (SIC) to Density Functional Theory (DFT) calculations. To that end, we use a simple model of few particles in a finite number of states together with a simple zero-range…

其他凝聚态物理 · 物理学 2009-11-13 P. M. Dinh , J. Messud , P. -G. Reinhard , E. Suraud

The Perdew-Zunger(PZ) self-interaction correction (SIC) was designed to correct the one-electron limit of any approximate density functional for the exchange-correlation (xc) energy, while yielding no correction to the exact functional.…