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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 propose a self-consistent site-dependent Hubbard $U$ approach for DFT+$U$ calculations of defects in complex transition-metal oxides, using Hubbard parameters computed via linear-response theory. The formation of a defect locally…

Materials Science · Physics 2019-04-04 Chiara Ricca , Iurii Timrov , Matteo Cococcioni , Nicola Marzari , Ulrich Aschauer

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

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

We introduce an automated, flexible framework (aiida-hubbard) to self-consistently calculate Hubbard $U$ and $V$ parameters from first-principles. By leveraging density-functional perturbation theory, the computation of the Hubbard…

We present a transparent and computationally efficient approach for the first-principles calculation of Hubbard parameters from linear-response theory. This approach is based on density-functional perturbation theory and the use of…

Strongly Correlated Electrons · Physics 2018-08-17 Iurii Timrov , Nicola Marzari , Matteo Cococcioni

We recently showed that the DFT+U approach with a linear-response U yields adiabatic energy differences biased towards high spin [Mariano et al. J. Chem. Theory Comput. 2020, 16, 6755-6762]. Such bias is removed here by employing a…

Strongly Correlated Electrons · Physics 2021-01-19 Lorenzo A. Mariano , Bess Vlaisavljevich , Roberta Poloni

We present and discuss results of a density functional theory (DFT) study of a perfect UO2 crystals and He atoms in octahedral interstitial positions. We have calculated basic bulk crystal properties and He incorporation energies into the…

Materials Science · Physics 2019-03-27 Denis Gryaznov , Eugene Heifets , Eugene Kotomin

The discovery of two-dimensional (2D) materials possessing switchable spontaneous polarization with atomic thickness opens up exciting opportunities to realize ultrathin, high-density electronic devices with potential applications ranging…

Materials Science · Physics 2020-11-04 Jiawei Huang , Sang-Hoon Lee , Andrew Supka , Young-Woo Son , Shi Liu

In the density-functional studies of materials with localized electronic states, the local/semilocal exchange-correlation functionals are often either combined with a Hubbard parameter $U$ as in the LDA+$U$ method or mixed with a fraction…

Materials Science · Physics 2014-07-24 Mehmet Aras , Çetin Kılıç

Accurate first-principles predictions of the structural, electronic, magnetic, and electrochemical properties of cathode materials can be key in the design of novel efficient Li-ion batteries. Spinel-type cathode materials Li$_x$Mn$_2$O$_4$…

Materials Science · Physics 2023-03-30 Iurii Timrov , Michele Kotiuga , 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

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

Titanium dioxide (TiO$_2$) presents a long-standing challenge for approximate Kohn-Sham density-functional theory (KS-DFT), as well as to its Hubbard-corrected extension, DFT+$U$. We find that a previously proposed extension of…

Materials Science · Physics 2020-06-23 Okan K. Orhan , David D. O'Regan

Uranium dioxide which is used as a fuel in light water nuclear reactors, is continually exposed to radiation damage originated from the collision of high-energy particles. Accumulation of the resulting defects gives rise to the evolution in…

Materials Science · Physics 2025-04-14 Mahmoud Payami , Samira Sheykhi , Mohammad-Reza Basaadat

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…

Strongly Correlated Electrons · Physics 2018-12-31 Edward B. Linscott , Daniel J. Cole , Michael C. Payne , David D. O'Regan

The Hubbard model, which augments independent-electron band theory with a single parameter to describe electron-electron correlations, is widely regarded to be the `standard model' of condensed matter physics. The model has been remarkably…

Strongly Correlated Electrons · Physics 2016-02-17 S. M. Griffin , P. Staar , T. C. Schulthess , M. Troyer , N. A. Spaldin

Although the density functional theory plus Hubbard $U$ correction method (DFT+U) is broadly used to study electronic structure of strongly correlated materials, the extension of this method to electron-phonon $g$ matrices has received…

Strongly Correlated Electrons · Physics 2026-05-21 Jiale Chen , Youyou Tu , Chengliang Xia , Jin Zhao , Hanghui Chen

Density functional theory is routinely applied to predict crystal structures. The most common exchange-correlation functionals used to this end are the Perdew-Burke-Ernzerhof (PBE) approximation and its variant PBEsol. We investigate the…

Materials Science · Physics 2022-05-18 Robert Hussein , Jonathan Schmidt , Tomás Barros , Miguel A. L. Marques , Silvana Botti

We present in full detail a newly developed formalism enabling density functional perturbation theory (DFPT) calculations from a DFT+$U$ ground state. The implementation includes ultrasoft pseudopotentials and is valid for both insulating…

Strongly Correlated Electrons · Physics 2020-02-21 Andrea Floris , Iurii Timrov , Burak Himmetoglu , Nicola Marzari , Stefano de Gironcoli , Matteo Cococcioni