English
Related papers

Related papers: Minimum tracking linear response Hubbard and Hund …

200 papers

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

The Density Functional Theory plus Hubbard $U$ (DFT+$U$) technique is one of the most widely used tools by condensed matter physicists and solid state chemists for the simulation of transition-metal and lanthanide bearing crystals, and…

Strongly Correlated Electrons · Physics 2026-04-29 Andrew C. Burgess , David D. O'Regan

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

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…

Computational Physics · Physics 2024-07-30 Lórien MacEnulty , Matteo Giantomassi , Bernard Amadon , Gian-Marco Rignanese , 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…

Strongly Correlated Electrons · Physics 2025-12-24 Alberto Carta , Iurii Timrov , Sophie Beck , Claude Ederer

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

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

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

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

Providing highly simplified models of strongly correlated electronic systems that challenge {\it ab initio} calculations can serve as a valuable testing ground to improve these methods. In this study, we present a comprehensive study of the…

Strongly Correlated Electrons · Physics 2025-09-25 Jila Amini , Mojtaba Alaei , Stefano de Gironcoli

Most realistic calculations of moderately correlated materials begin with a ground-state density functional theory (DFT) calculation. While Kohn-Sham DFT is used in about 40,000 scientific papers each year, the fundamental underpinnings are…

Strongly Correlated Electrons · Physics 2022-09-26 Kieron Burke , John Kozlowski

We present a first-principles investigation of the structural, electronic, and magnetic properties of pyrolusite ($\beta$-MnO$_2$) using conventional and extended Hubbard-corrected density-functional theory (DFT+$U$ and DFT+$U$+$V$). The…

Materials Science · Physics 2021-10-06 Ruchika Mahajan , Iurii Timrov , Nicola Marzari , Arti Kashyap

We unify the Perdew-Zunger self-interaction correction (PZSIC) to approximate density functional theory (DFT), the Hubbard correction DFT+U, and Rung 3.5 functionals within the Adiabatic Projection formalism. We modify the Kohn-Sham…

Chemical Physics · Physics 2023-05-16 Benjamin G. Janesko

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

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

To apply the Hubbard-corrected density-functional theory for predicting some known materials' properties, the Hubbard parameters are usually so tuned that the calculations give results in agreement with some experimental data and then one…

Materials Science · Physics 2023-06-13 Mahmoud Payami , Samira Sheykhi , Mohammad-Reza Basaadat

The density functional theory (DFT)+U method based on the linear response (LR) theory was applied to investigate the electronic structures of Co-based ternary full Heusler alloy Co$_2Y$Si for exploring half-metallic (HM) ferromagnets with a…

Materials Science · Physics 2019-06-11 Kenji Nawa , Yoshio Miura

We present an accurate and efficient framework for real-space Hubbard-corrected density functional theory. In particular, we obtain expressions for the energy, atomic forces, and stress tensor suitable for real-space finite-difference…

Computational Physics · Physics 2025-10-20 Sayan Bhowmik , Andrew J. Medford , Phanish Suryanarayana

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

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