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We have integrated density functional theory (DFT) into quantitative convergent-beam electron diffraction (QCBED) to create a synergy between experiment and theory called QCBED-DFT. This synergy resides entirely in the electron density…

Strongly Correlated Electrons · Physics 2021-05-05 Ding Peng , Philip N. H. Nakashima

The most general way to describe localized atomic-like electronic states in strongly correlated compounds is to utilize Wannier functions. In the present paper we continue the development of widely-spread DFT+U method onto Wannier function…

Strongly Correlated Electrons · Physics 2015-09-02 D. Novoselov , Dm. M. Korotin , V. I. Anisimov

We present a formulation of the density-functional theory + Hubbard model (DFT+U) method that is self-consistent over the choice of Hubbard projectors used to define the correlated subspaces. In order to overcome the arbitrariness in this…

Materials Science · Physics 2015-03-17 David D. O'Regan , Nicholas D. M. Hine , Mike C. Payne , Arash A. Mostofi

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

We study the one- and two- dimensional extended Hubbard model by means of the Composite Operator Method within the 2-pole approximation. The fermionic propagator is computed fully self-consistently as a function of temperature, filling and…

Strongly Correlated Electrons · Physics 2007-05-23 Adolfo Avella , Ferdinando Mancini

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

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,…

Chemical Physics · Physics 2024-08-19 Kyle Bystrom , Boris Kozinsky

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

Transition-metal compounds pose serious challenges to first-principles calculations based on density-functional theory (DFT), due to the inability of most approximate exchange-correlation functionals to capture the localization of valence…

Materials Science · Physics 2019-03-13 Matteo Cococcioni , Nicola Marzari

We investigate the DFT+U approach as a viable solution to describe the low-lying states of ligated and unligated iron heme complexes. Besides their central role in organometallic chemistry, these compounds represent a paradigmatic case…

Soft Condensed Matter · Physics 2007-05-23 Damian A. Scherlis , Matteo Cococcioni , Patrick Sit , Nicola Marzari

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

We present a DFT+U-type functional for strong correlation, derived from multiconfigurational wavefunction theory. The reference system experiences electron-electron interactions only in DFT+U-type atomic states, yielding a block-localized…

Chemical Physics · Physics 2023-07-25 Benjamin G. Janesko

We present a comparative electronic structure study using DFT and various beyond-DFT (DFT+$U$, $G_0W_0$, DFT+DMFT) methods for ferromagnetic Iron (Fe) to find better approach for describing the spectral properties of correlated magnetic…

Strongly Correlated Electrons · Physics 2021-01-01 Antik Sihi , Sudhir K. Pandey

We study the lattice dynamics of group IV semiconductors using fully ab-initio extended Hubbard functional. The onsite and intersite Hubbard interactions are determined self-consistently with recently developed pseudohybrid functionals and…

Materials Science · Physics 2021-10-04 Wooil Yang , Seung-Hoon Jhi , Sang-Hoon Lee , Young-Woo Son

In this paper we find that in the thermodynamic limit and for the the ground-state normal-ordered 1D Hubbard model the wave function of the excited energy eigenstates which span the Hilbert subspace where the finite-number-electron…

Strongly Correlated Electrons · Physics 2007-05-23 J. M. P. Carmelo

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

We study the electronic structure and dynamical correlations in antiferromagnetic BiFeO$_3$, a prototypical room-temperature multiferroic, using a variety of static and dynamical first-principles methods. Conventional static Hubbard…

Strongly Correlated Electrons · Physics 2025-12-01 Yihan Wu , Mario Caserta , Tommaso Chiarotti , Nicola Marzari

First principles constrained density functional theory scheme in Wannier functions formalism has been used to calculate Coulomb repulsion U and Hund's exchange J parameters for iron 3d electrons in LaFeAsO. Results strongly depend on the…

Strongly Correlated Electrons · Physics 2009-01-31 V. I. Anisimov , Dm. M. Korotin , S. V. Streltsov , A. V. Kozhevnikov , J. Kuneš , A. O. Shorikov , M. A. Korotin

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

We propose a systematic procedure for constructing effective models of strongly correlated materials. The parameters, in particular the on-site screened Coulomb interaction U, are calculated from first principles, using the GW…

Strongly Correlated Electrons · Physics 2009-11-10 F. Aryasetiawan , M. Imada , A. Georges , G. Kotliar , S. Biermann , A. I. Lichtenstein