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A very popular ab-initio scheme to calculate electronic properties in solids is the use of hybrid functionals in density functional theory (DFT) that mixes a portion of Fock exchange with DFT functionals. In spite of their success, a major…

We decompose the energy error of any variational DFT calculation into a contribution due to the approximate functional and that due to the approximate density. Typically, the functional error dominates, but in many interesting situations,…

化学物理 · 物理学 2015-06-12 Min-Cheol Kim , Eunji Sim , Kieron Burke

Approximate functionals used in practical density functional theory (DFT) deviate from the piecewise linear behavior of the exact functional for fractional charges. This deviation causes excess charge delocalization, which leads to…

化学物理 · 物理学 2018-10-23 Diptarka Hait , Martin Head-Gordon

A detailed account of the implementation of equations of the Relativistic Density Functional Theory (RDFT) using basis sets of APW/LAPW type with flexible extensions provided by local orbitals is given. Earlier discoveries of the importance…

材料科学 · 物理学 2021-04-07 Andrey L. Kutepov

Plane-wave electronic-structure predictions based upon orbital-dependent density-functional theory (OD-DFT) approximations, such as hybrid density-functional methods and self-interaction density-functional corrections, are severely affected…

材料科学 · 物理学 2011-10-19 Yanli Li , Ismaila Dabo

The stochastic density functional theory (DFT) [Phys. Rev. Lett. 111, 106402 (2013)] is a valuable linear scaling approach to Kohn-Sham DFT that does not rely on the sparsity of the density matrix. Linear (and often sub-linear) scaling is…

化学物理 · 物理学 2019-02-20 Ming Chen , Roi Baer , Daniel Neuhauser , Eran Rabani

DFT calculations have become widespread in both chemistry and materials, because they usually provide useful accuracy at much lower computational cost than wavefunction-based methods. All practical DFT calculations require an approximation…

化学物理 · 物理学 2022-03-15 Eunji Sim , Suhwan Song , Stefan Vuckovic , Kieron Burke

Density Functional Theory (DFT) is widely used for atomistic simulations. However, its reach stays limited due to several limitations such as lack of accurate exchange-correlation functional, requirement of costly O(N 3) diagonalization…

Unlike covalent two-dimensional (2D) materials like graphene, 2D metals have non-layered structures due to their non-directional, metallic bonding. While experiments on 2D metals are still scarce and challenging, density-functional theory…

材料科学 · 物理学 2023-01-06 Kameyab Raza Abidi , Pekka Koskinen

Approximate density functional theory (DFT) suffers from many-electron self- interaction error, otherwise known as delocalization error, that may be diagnosed and then corrected through elimination of the deviation from exact piecewise…

材料科学 · 物理学 2016-11-08 Terry Z. H. Gani , Heather J. Kulik

Accurately modeling compounds with partially filled $d$ and $f$ shells remains a hard challenge for density-functional theory, due to large self-interaction errors stemming from local or semi-local exchange-correlation functionals. Hubbard…

材料科学 · 物理学 2026-01-19 Kinga Warda , Eric Macke , Iurii Timrov , Lucio Colombi Ciacchi , Piotr M. Kowalski

Standard density functional approximations often give questionable results for odd-electron radical complexes, with the error typically attributed to self-interaction. In density corrected density functional theory (DC-DFT), certain classes…

化学物理 · 物理学 2015-06-19 Min-Cheol Kim , Eunji Sim , Kieron Burke

First-principles density functional theory (DFT) codes which employ a localized basis offer advantages over those which use plane-wave bases, such as better scaling with system size and better suitability to low-dimensional systems. The…

材料科学 · 物理学 2024-11-25 Daniel Bennett , Michele Pizzochero , Javier Junquera , Efthimios Kaxiras

The density functional theory (DFT) is used in a study of point defects on both UN (001) surface and sub-surface layers. We compare results for slabs of different thicknesses (both perfect and containing nitrogen or uranium vacancies) with…

材料科学 · 物理学 2012-11-27 Dmitry Bocharov , Denis Gryaznov , Yuri F. Zhukovskii , Eugene A. Kotomin

The design of better exchange-correlation functionals for Density Functional Theory (DFT) is a central challenge of modern electronic structure theory. However, current developments are limited by the mathematical form of the functional,…

化学物理 · 物理学 2024-08-19 Kyle Bystrom , Boris Kozinsky

Density-corrected density functional theory (DC-DFT) is enjoying substantial success in improving semilocal DFT calculations in a wide variety of chemical problems. This paper provides the formal theoretical framework and assumptions for…

化学物理 · 物理学 2019-08-19 Stefan Vuckovic , Suhwan Song , John Kozlowski , Eunji Sim , Kieron Burke

For materials of varying band gap, we compare energy levels of atomically localized defects calculated within a semilocal and a hybrid density-functional scheme. Since the latter scheme partially relieves the band gap problem, our study…

材料科学 · 物理学 2008-07-30 Audrius Alkauskas , Peter Broqvist , Alfredo Pasquarello

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…

化学物理 · 物理学 2020-12-02 Suhwan Song , Stefan Vuckovic , Eunji Sim , Kieron Burke

Predictions of observable properties by density-functional theory calculations (DFT) are used increasingly often in experimental condensed-matter physics and materials engineering as data. These predictions are used to analyze recent…

材料科学 · 物理学 2015-03-20 Kurt Lejaeghere , Veronique Van Speybroeck , Guido Van Oost , Stefaan Cottenier

The systematic underestimation of band gaps is one of the most fundamental challenges in semilocal density functional theory (DFT). In addition to hindering the application of DFT to predicting electronic properties, the band gap problem is…

化学物理 · 物理学 2024-08-27 Kyle Bystrom , Stefano Falletta , Boris Kozinsky
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