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We present a new approach to the evaluation of the on-site repulsion energy U for use in the LDA+U method of Anisimov and collaborators. Our objectives are to make the method more firmly based, to concentrate primarily on ground state…

强关联电子 · 物理学 2008-02-03 W. E. Pickett , S. C. Erwin , E. C. Ethridge

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…

材料科学 · 物理学 2013-09-17 Burak Himmetoglu , Andrea Floris , Stefano de Gironcoli , Matteo Cococcioni

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…

材料科学 · 物理学 2023-10-13 Luca Binci , Nicola Marzari

We present the first principles results of point defect energetics in silicon calculated using the LDA+U method: a Hubbard type on-site interaction added to the local density approximation (LDA). The on-site Coulomb and exchange parameters…

材料科学 · 物理学 2007-05-23 Panchapakesan Ramanarayanan , Renat F. Sabirianov , Kyeongjae Cho

In this paper we have investigated the electronic properties of Fe(OH)2 hydroxide by using the LSDA+U as well as the generalized gradient approximation. Our calculations for the iron-hydroxide show that the LSDA results are greatly at…

Using the LDA+$\textit{U}_\text{sc}$ method, we present calculations phase relations of iron monoxides involving five polytypes in multiple spin-state configurations. The Hubbard parameter $U$ is determined self-consistently simultaneously…

材料科学 · 物理学 2020-06-11 Yang Sun , Matteo Cococcioni , Renata M. Wentzcovitch

We discuss a general approach to a realistic theory of the electronic structure in materials containing correlated d- or f- electrons. The main feature of this approach is the taking into account the energy dependence of the electron…

强关联电子 · 物理学 2009-10-30 A. I. Lichtenstein , M. I. Katsnelson

Members of the DFT+U family of functionals are increasingly prevalent methods of addressing errors intrinsic to (semi-) local exchange-correlation functionals at minimum computational cost, but require their parameters U and J to be…

We present one inherent shortcoming of the LDA+U method in respect of its self-interaction correction of the LDA. By reexamining the mean-field approximation on the Hubbard energy in the Hartree-Fock form, we have derived a new expression…

强关联电子 · 物理学 2007-07-19 Dong-Kyun Seo

The density functional theory (DFT)+$U$ method is a pragmatic and effective approach for calculating the ground-state properties of strongly-correlated systems, and linear response calculations are widely used to determine the requisite…

强关联电子 · 物理学 2018-12-31 Edward B. Linscott , Daniel J. Cole , Michael C. Payne , David D. O'Regan

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…

强关联电子 · 物理学 2025-12-24 Alberto Carta , Iurii Timrov , Sophie Beck , Claude Ederer

We provide a straightforward and efficient procedure to combine LDA+U total energy functional with the full potential linearized augmented plane wave method. A detailed derivation of the LDA+U Kohn-Sham type equations is presented for the…

强关联电子 · 物理学 2009-10-31 A. B. Shick , A. I. Liechtenstein , W. E. Pickett

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…

强关联电子 · 物理学 2017-04-27 Glenn Moynihan , Gilberto Teobaldi , David D. O'Regan

We develop a generalization of the Kohn-Sham density functional theory (KS-DFT) + Hubbard $U$ (DFT+$U$) method to the excited-state regime. This has the form of Hubbard $U$ corrected linear-response time-dependent DFT, or `TDDFT+$U$'.…

强关联电子 · 物理学 2019-04-24 Okan K. Orhan , David D. O'Regan

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)…

In this study, we present a systematic comparison of various approaches within the constrained random-phase approximation (cRPA) for calculating the Coulomb interaction parameter $U$. While defining the correlated space is straightforward…

强关联电子 · 物理学 2025-06-25 Indukuru Ramesh Reddy , M. Kaltak , Bongjae Kim

The self-consistent evaluation of Hubbard parameters using linear-response theory is crucial for quantitatively predictive calculations based on Hubbard-corrected density-functional theory. Here, we extend a recently-introduced approach…

材料科学 · 物理学 2021-02-02 Iurii Timrov , Nicola Marzari , Matteo Cococcioni

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…

强关联电子 · 物理学 2020-10-21 Nicolas Tancogne-Dejean , Angel Rubio

We present a method for calculating the electronic structure of correlated materials based on a truly first-principles LDA+U scheme. Recently we suggested how to calculate U from first-principles, using a method which we named constrained…

强关联电子 · 物理学 2010-06-17 K. Karlsson , F. Aryasetiawan , O. Jepsen

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…

强关联电子 · 物理学 2012-02-14 David D. O'Regan , Nicholas D. M. Hine , Mike C. Payne , Arash A. Mostofi
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