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Related papers: Implementation and application of a DFT$+U$$+V$ ap…

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We present an approach to the DFT+U method (Density Functional Theory + Hubbard model) within which the computational effort for calculation of ground state energies and forces scales linearly with system size. We employ a formulation of…

Strongly Correlated Electrons · Physics 2012-02-14 David D. O'Regan , Nicholas D. M. Hine , Mike C. Payne , Arash A. Mostofi

The predictive accuracy of popular extensions to density-functional theory (DFT) such as DFT+U and DFT plus dynamical mean-field theory (DFT+DMFT) hinges on using realistic values for the screened Coulomb interaction U. Here, we present a…

Strongly Correlated Electrons · Physics 2025-12-24 Alberto Carta , Iurii Timrov , Sophie Beck , Claude Ederer

Hybrid functionals' non-local exchange-correlation potential contains a derivative discontinuity that improves on standard semi-local density functional theory (DFT) band gaps. Moreover, by careful parameterization, hybrid functionals can…

Materials Science · Physics 2017-11-06 Viktor Ivády , Adam Gali , Igor A. Abrikosov

We present a new scheme to include the van der Waals (vdW) interactions in approximated Density Functional Theory (DFT) by combining the Quantum Harmonic Oscillator model with the Maximally Localized Wannier Function technique. With respect…

Materials Science · Physics 2015-06-16 Pier Luigi Silvestrelli

The effective on-site Coulomb interaction (Hubbard $U$) between 5$f$ electrons in actinide metals (Th-Cf) is calculated with the framework of density-functional theory (DFT) using linear response approach. The $U$ values seldom rely on the…

Materials Science · Physics 2020-01-14 Ruizhi Qiu , Bingyun Ao , Li Huang

We formulate the on-site occupation dependent exchange correlation energy and effective potential of hybrid functionals for localized states and connect them to the on-site correction term of the DFT+U method. Our derivation provides a…

Strongly Correlated Electrons · Physics 2015-05-22 Viktor Ivády , Rickard Armiento , Krisztián Szász , Erik Janzén , Adam Gali , Igor A. Abrikosov

DFT+X methods, such as DFT+U and DFT+DMFT, are important supplements to standard density functional theory when strong on-site Coulomb interactions are present. However, the involvement of external parameters in the underlying model…

Strongly Correlated Electrons · Physics 2026-03-03 X. L. Pan , H. X. Song , Y. Sun , F. C. Wu , H. Wang , Y. F. Wang , Y. Chen , X. R. Chen , Hua Y. Geng

The present work proposes to use density-functional theory (DFT) to correct for the basis-set error of wave-function theory (WFT). One of the key ideas developed here is to define a range-separation parameter which automatically adapts to a…

We present a formulation and implementation of the DFT+\textit{U} method within the framework of linear combination of numerical atomic orbitals (NAO). Our implementation not only enables single-point total energy and electronic-structure…

Materials Science · Physics 2022-06-29 Xin Qu , Peng Xu , Hong Jiang , Lixin He , Xinguo Ren

While density functional theory (DFT) is widely applied for its combination of cost and accuracy, corrections (e.g., DFT+U) that improve it are often needed to tackle correlated transition-metal chemistry. In principle, the functional form…

Chemical Physics · Physics 2021-03-12 Akash Bajaj , Heather J. Kulik

The density functional theory (DFT)+U method based on the linear response (LR) theory was applied to investigate the electronic structures of Co-based ternary full Heusler alloy Co$_2Y$Si for exploring half-metallic (HM) ferromagnets with a…

Materials Science · Physics 2019-06-11 Kenji Nawa , Yoshio Miura

The Density Functional Theory plus Hubbard $U$ (DFT+$U$) technique is one of the most widely used tools by condensed matter physicists and solid state chemists for the simulation of transition-metal and lanthanide bearing crystals, and…

Strongly Correlated Electrons · Physics 2026-04-29 Andrew C. Burgess , David D. O'Regan

A self-consistent calculation scheme for correlated electron systems is created based on the density-functional theory (DFT). Our scheme is a multi-reference DFT (MR-DFT) calculation in which the electron charge density is reproduced by an…

Strongly Correlated Electrons · Physics 2009-11-13 Koichi Kusakabe , Naoshi Suzuki , Shusuke Yamanaka , Kizashi Yamaguchi

We present an accurate local density-functional for electronic-structure calculations within the density functional theory (DFT). The functional is derived by analyzing the structure of the standard perturbative expansion of the correlation…

Materials Science · Physics 2024-11-28 Mario Benites , Angel Rosado , Efstratios Manousakis

For fast and accurate calculations of band gaps of solids, we present an {\it ab initio} method that extends the density functional theory plus on-site Hubbard interaction (DFT+$U$) to include inter-site Hubbard interaction ($V$). This…

Materials Science · Physics 2021-01-14 Sang-Hoon Lee , Young-Woo Son

In this paper, we propose an efficient implementation of combining Dynamical Mean field theory (DMFT) with electronic structure calculation based on the local density approximation (LDA). The pseudo-potential-plane-wave method is used in…

Strongly Correlated Electrons · Physics 2015-06-03 Jian-Zhou Zhao , Jia-Ning Zhuang , Xiao-Yu Deng , Yan Bi , Ling-Cang Cai , Zhong Fang , Xi Dai

In electronic structure methods based on the correction of approximate density-functional theory (DFT) for systematic inaccuracies, Hubbard $U$ parameters may be used to quantify and amend the self-interaction errors ascribed to selected…

Strongly Correlated Electrons · Physics 2017-04-27 Glenn Moynihan , Gilberto Teobaldi , David D. O'Regan

In the spirit of recently developed LDA+U and LDA+DMFT methods we implement a combination of density functional theory in its local density approximation (LDA) with a $k$- and $\omega -$dependent self-energy found from diagrammatic…

Strongly Correlated Electrons · Physics 2018-04-17 Sergey Y. Savrasov , Giacomo Resta , Xiangang Wan

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…

Materials Science · Physics 2016-11-08 Terry Z. H. Gani , Heather J. Kulik

The so-called local density approximation plus the multi-orbital mean-field Hubbard model (LDA+U) has been implemented within the all-electron projector augmented-wave method (PAW), and then used to compute the insulating antiferromagnetic…

Strongly Correlated Electrons · Physics 2009-10-31 O. Bengone , M. Alouani , P. Bloechl , J. Hugel