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The magnetic state of UO$_2$ was determined experimentally to be anti-ferromagnetic. Starting from this experimental fact, researchers have calculated other properties within the Hubbard-corrected density-functional theory, DFT+U. Up to…

Materials Science · Physics 2024-01-03 Mahmoud Payami

Hubbard-corrected density functional theory, denoted by DFT+U method, was developed to enable correct prediction of insulating properties for strongly-correlated electron systems. UO$_2$ is an example having O-$2p$, U-$6d$, and U-$5f$…

Strongly Correlated Electrons · Physics 2023-02-28 Mahmoud Payami

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…

Materials Science · Physics 2021-02-02 Iurii Timrov , Nicola Marzari , Matteo Cococcioni

Density-functional theory is widely used to predict the physical properties of materials. However, it usually fails for strongly correlated materials. A popular solution is to use the Hubbard corrections to treat strongly correlated…

Since in DFT+U there are multiple self-consistent electronic solutions, the so called metastable states, the elastic constants computed from stress-vs-strain will be incorrect if some of the strained configurations fall into a different…

Materials Science · Physics 2025-09-16 Mahmoud Payami , Samira Sheykhi

We conduct a systematic investigation of the role of Hubbard U corrections in electronic structure calculations of two-dimensional (2D) materials containing 3d transition metals. Specifically, we use density functional theory (DFT) with the…

Materials Science · Physics 2024-11-19 Sahar Pakdel , Thomas Olsen , Kristian S. Thygesen

The ab initio computational method known as Hubbard-corrected density functional theory (DFT+$U$) captures well ground electronic structures of a set of solids that are poorly described by standard DFT alone. Since lattice dynamical…

Materials Science · Physics 2025-06-17 Wooil Yang , Sabyasachi Tiwari , Feliciano Giustino , Young-Woo Son

HfO$_2$-based ferroelectrics have emerged as promising materials for advanced nanoelectronics, with their robust polarization and silicon compatibility making them ideal for high-density, non-volatile memory applications. Oxygen vacancies,…

Materials Science · Physics 2026-01-06 Yudi Yang , Wooil Yang , Young-Woo Son , Shi Liu

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

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

Transition-metal centers are the active sites for many biological and inorganic chemical reactions. Notwithstanding this central importance, density-functional theory calculations based on generalized-gradient approximations often fail to…

Soft Condensed Matter · Physics 2009-11-11 Heather J. Kulik , Matteo Cococcioni , Damian A. Scherlis , Nicola Marzari

Hubbard-corrected density-functional theory has proven to be successful in addressing self-interaction errors in 3D magnetic materials. However, the effectiveness of this approach for 2D magnetic materials has not been extensively explored.…

Materials Science · Physics 2024-02-05 Fatemeh Haddadi , Edward Linscott , Iurii Timrov , Nicola Marzari , Marco Gibertini

We present a first-principles study of the low-temperature rhombohedral phase of BaTiO$_3$ using Hubbard-corrected density-functional theory. By employing density-functional perturbation theory, we compute the onsite Hubbard $U$ for…

Materials Science · Physics 2023-12-29 G. Gebreyesus , Lorenzo Bastonero , Michele Kotiuga , Nicola Marzari , Iurii Timrov

We introduce HP, an implementation of density-functional perturbation theory, designed to compute Hubbard parameters (on-site $U$ and inter-site $V$) in the framework of DFT+$U$ and DFT+$U$+$V$. The code does not require the use of…

Materials Science · Physics 2022-07-11 Iurii Timrov , Nicola Marzari , Matteo Cococcioni

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

Accurate computational predictions of band gaps are of practical importance to the modeling and development of semiconductor technologies, such as (opto)electronic devices and photoelectrochemical cells. Among available electronic-structure…

Materials Science · Physics 2021-03-16 Nicole E. Kirchner-Hall , Wayne Zhao , Yihuang Xiong , Iurii Timrov , Ismaila Dabo

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

The design of novel cathode materials for Li-ion batteries would greatly benefit from accurate first-principles predictions of structural, electronic, and magnetic properties as well as intercalation voltages in compounds containing…

Materials Science · Physics 2022-11-03 Iurii Timrov , Francesco Aquilante , Matteo Cococcioni , Nicola Marzari

Halide perovskites (HPs) are widely viewed as promising photovoltaic and light-emitting materials for their suitable band gaps in the visible spectrum. Density functional theory (DFT) calculations employing (semi)local exchange-correlation…

Materials Science · Physics 2022-12-06 Jiyuan Yang , Tianyuan Zhu , Shi Liu

Density-functional theory with extended Hubbard functionals (DFT+$U$+$V$) provides a robust framework to accurately describe complex materials containing transition-metal or rare-earth elements. It does so by mitigating self-interaction…

Materials Science · Physics 2025-01-30 Martin Uhrin , Austin Zadoks , Luca Binci , Nicola Marzari , Iurii Timrov
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