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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

We give a summary of recent progress in the field of electronic structure calculations for materials with strong electronic Coulomb correlations. The discussion focuses on developments beyond the by now well established combination of…

Strongly Correlated Electrons · Physics 2014-12-30 Silke Biermann

A systematic comparative study has been performed to better understand DFT$+U$ (density functional theory + $U$) method. We examine the effect of choosing different double counting and exchange-correlation functionals. The calculated energy…

Strongly Correlated Electrons · Physics 2018-06-26 Siheon Ryee , Myung Joon Han

Standard flavors of density-functional theory (DFT) calculations are known to fail in describing anions, due to large self-interaction errors. The problem may be circumvented by using localized basis sets of reduced size, leaving no…

Chemical Physics · Physics 2019-12-23 Francesco Nattino , Céline Dupont , Nicola Marzari , Oliviero Andreussi

Since the preliminary work of Anisimov and co-workers, the Hubbard corrected DFT+$U$ functional has been used for predicting properties of correlated materials by applying on-site effective Coulomb interactions to specific orbitals.…

Materials Science · Physics 2022-12-20 Stefano Falletta , Alfredo Pasquarello

Density functional theory (DFT) embedding provides a formally exact framework for interfacing correlated wave-function theory (WFT) methods with lower-level descriptions of electronic structure. Here, we report techniques to improve the…

Chemical Physics · Physics 2015-06-12 Jason D. Goodpaster , Taylor A. Barnes , Frederick R. Manby , Thomas F. Miller

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 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

Density functional theory augmented with Hubbard-$U$ corrections (DFT+$U$) is currently one of the widely used methods for first-principles electronic structure modeling of insulating transition metal oxides (TMOs). Since $U$ is relatively…

Computational Physics · Physics 2018-05-09 Samara Keshavarz , Johan Schött , Andrew J. Millis , Yaroslav O. Kvashnin

Systematically studying the crystal, magnetic, and electronic structures of PuGa3 with density functional theory (DFT) reveals the entanglement of the three types of structure. Magnetic structure affects the energy more strongly than…

Materials Science · Physics 2013-07-03 Sven P. Rudin

First principles studies of multiferroic materials, such as bismuth ferrite (BFO), require methods that extend beyond standard density functional theory (DFT). The DFT+U method is one such extension that is widely used in the study of BFO.…

Materials Science · Physics 2018-04-10 J. Kane Shenton , Wei Li Cheah , David R. Bowler

Adsorbed transition metal atoms can have partially filled $d$- or $f$-shells due to strong on-site Coulomb interaction. Capturing all effects originating from electron correlation in such strongly correlated systems is a challenge for…

Strongly Correlated Electrons · Physics 2018-01-17 Marc Philipp Bahlke , Michael Karolak , Carmen Herrmann

In this work, we present a computationally efficient methodology that utilizes a local real-space formulation of the projector augmented wave (PAW) method discretized with a finite-element (FE) basis to enable accurate and large-scale…

Computational Physics · Physics 2025-01-03 Kartick Ramakrishnan , Sambit Das , Phani Motamarri

Streamlined prediction of the electronic properties of photoactive materials warrants a Density Functional Theory (DFT) based approach that (i) yields reliable bandgaps, (ii) is free of empirically tuned parameters, and (iii) exhibits low…

Materials Science · Physics 2025-12-17 Andrew C. Burgess , Lórien MacEnulty , Ethan D'Arcy , David Gavin , David D. O'Regan

Density-functional theory with on-site $U$ and inter-site $V$ Hubbard corrections (DFT+$U$+$V$) is a powerful and accurate method for predicting various properties of transition-metal compounds. However, its accuracy depends critically on…

Materials Science · Physics 2025-12-23 Wooil Yang , Iurii Timrov , Francesco Aquilante , Young-Woo Son

Contradictory theoretical results for oxygen vacancies in SrTiO$_3$ (STO) were often related to the peculiar properties of STO, which is a $d^0$ transition metal oxide with mixed ionic-covalent bonding. Here, we apply, for the first time,…

Materials Science · Physics 2020-07-01 Chiara Ricca , Iurii Timrov , Matteo Cococcioni , Nicola Marzari , Ulrich Aschauer

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

Employing the density functional theory incorporating on-site and inter-site Coulomb interactions (DFT+U+V), we have investigated the role of the nonlocal interactions on the electronic structures of the transition metal oxide perovskites.…

Strongly Correlated Electrons · Physics 2024-12-23 Indukuru Ramesh Reddy , Chang-Jong Kang , Sooran Kim , Bongjae Kim

We develop a self-consistent first-principles framework for determining the screened Coulomb interaction strength (U) based on constrained dynamical mean-field theory (cDMFT). Unlike conventional approaches, this method incorporates…

Strongly Correlated Electrons · Physics 2026-01-21 Antik Sihi , Subhasish Mandal , Kristjan Haule

Multipolar magnetic phases in correlated insulators represent a great challenge for Density Functional Theory (DFT) due to the coexistence of intermingled interactions, typically spin-orbit coupling, crystal field and complex non-collinear…

Strongly Correlated Electrons · Physics 2022-07-27 Dario Fiore Mosca , Leonid V. Pourovskii , Cesare Franchini