English
Related papers

Related papers: Validity of DFT+U band gaps in all its known funct…

200 papers

The aim of this review article is to assess the descriptive capabilities of the Hubbard-rooted LDA+U method and to clarify the conditions under which it can be expected to be most predictive. The paper illustrates the theoretical foundation…

Materials Science · Physics 2013-09-17 Burak Himmetoglu , Andrea Floris , Stefano de Gironcoli , Matteo Cococcioni

In the density-functional studies of materials with localized electronic states, the local/semilocal exchange-correlation functionals are often either combined with a Hubbard parameter $U$ as in the LDA+$U$ method or mixed with a fraction…

Materials Science · Physics 2014-07-24 Mehmet Aras , Çetin Kılıç

In this article, we propose an energy functional at the level of DFT+U+V that allows us to compute self-consistently the values of the on-site interaction, Hubbard U and Hund J, as well as the intersite interaction V. This functional…

Strongly Correlated Electrons · Physics 2020-10-21 Nicolas Tancogne-Dejean , Angel Rubio

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 an orbital-resolved extension of the Hubbard $U$ correction to density-functional theory (DFT). Compared to the conventional shell-averaged approach, the prediction of energetic, electronic and structural properties is strongly…

Materials Science · Physics 2024-09-18 Eric Macke , Iurii Timrov , Nicola Marzari , Lucio Colombi Ciacchi

A new DFT+U type corrective functional is derived from first principles to enforce the flat plane condition on localized subspaces, thus dispensing with the need for an ad hoc derivation from the Hubbard model. The newly derived functional…

Strongly Correlated Electrons · Physics 2023-04-17 Andrew Burgess , Edward Linscott , David D. O'Regan

Nowadays pseudopotential density-functional theory calculations constitute the standard approach to tackle solid-state electronic problems. These rely on distributed pseudopotential tables that were built from all-electron atomic…

Computational Physics · Physics 2020-03-24 Pedro Borlido , Jan Doumont , Fabien Tran , Miguel Marques , Silvana Botti

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

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

Density functional theory (DFT) has been widely applied to a variety of realistic materials but often struggles to explain the properties of correlated systems. The DFT + U method, which introduces a Hubbard U correction to the DFT, has…

Strongly Correlated Electrons · Physics 2025-08-20 Ju Hyeon Lee , Bongjae Kim

The existence of band gaps in Mott insulators such as perovskite oxides with partially filled 3d shells has been traditionally explained in terms of strong, dynamic inter-electronic repulsion codified by the on-site repulsion energy U in…

Materials Science · Physics 2019-07-24 Julien Varignon , Manuel Bibes , Alex Zunger

We present an implementation of the density-functional theory DFT$+U$$+V$ formalism within the all-electron full-potential linearized augmented-plane-wave (FLAPW) method as implemented in the FLEUR code. The DFT$+U$$+V$ formalism extends…

We have proposed a method for correcting the Kohn-Sham eigen energies in the density functional theory (DFT) based on the Koopmans theorem using Wannier functions. The method provides a general approach applicable for molecules and solids…

Computational Physics · Physics 2015-03-02 Jie Ma , Lin-Wang Wang

The calculation of the band-gap by density-functional theory (DFT) methods is examined by considering the behavior of the energy as a function of number of electrons. It is found that the incorrect band-gap prediction with most approximate…

Materials Science · Physics 2009-11-13 Aron J. Cohen , Paula Mori-Sánchez , Weitao Yang

Density functional theory augmented with a Hubbard correction (DFT+U) is widely used to treat localized electronic states, but its predictions are often sensitive to the choice of the local projection space defining the correlated subspace.…

Strongly Correlated Electrons · Physics 2026-04-13 Manjula Raman , Kenneth Park

The magnetic, noncollinear parametrization of Dudarev's DFT+$U$ method is generalized to fully-relativistic ultrasoft pseudopotentials. We present the definition of the DFT+$U$ total energy functional, and the calculation of forces and…

Materials Science · Physics 2023-10-13 Luca Binci , Nicola Marzari

First principles density functional theory (DFT) is used to investigate the electronic structure of \beta-MnO2. From collinear spin polarized calculations we find that DFT+U_Eff predicts a gapless ferromagnet in contrast with experiment…

Strongly Correlated Electrons · Physics 2012-11-26 David A. Tompsett , Derek S. Middlemiss , M. Saiful Islam

Accurate band gap prediction in semiconductors is crucial for materials science and semiconductor technology advancements. This paper extends the Perdew-Burke-Ernzerhof (PBE) functional for a wide range of semiconductors, tackling the…

Materials Science · Physics 2024-08-01 Satadeep Bhattacharjee , Namitha Anna Koshi , Seung-Cheol Lee

DFT+U provides a convenient, cost-effective correction for the self-interaction error (SIE) that arises when describing correlated electronic states using conventional approximate density functional theory (DFT). The success of a DFT+U(+J)…

Many-body functionals of the Green's function can provide fundamental advances in electronic-structure calculations, due to their ability to accurately predict both spectral and thermodynamic properties, such as angle-resolved photoemission…

Strongly Correlated Electrons · Physics 2025-08-26 Tommaso Chiarotti , Matteo Quinzi , Andrea Pintus , Mario Caserta , Andrea Ferretti , Nicola Marzari