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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

We present the implementation of the Hubbard ($U$) and Hund ($J$) corrected Density Functional Theory (DFT+$U$+$J$) functionality in the Quickstep program, which is part of the CP2K suite. The tensorial and L\"owdin subspace representations…

Strongly Correlated Electrons · Physics 2024-11-14 Ziwei Chai , Rutong Si , Mingyang Chen , Gilberto Teobaldi , David D. O'Regan , Li-Min Liu

The self consistent version of the density functional theory (DFT) is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems such as atoms, molecules and clusters. The exact functional…

Condensed Matter · Physics 2007-05-23 M. Ya. Amusia , V. R. Shaginyan

In this article we introduce a generalization of the popular DFT+U method based on the extended Hubbard model that includes on-site and inter-site electronic interactions. The novel corrective Hamiltonian is designed to study systems for…

Strongly Correlated Electrons · Physics 2015-05-13 Vivaldo Leiria Campo , 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…

We present an implementation of the density-functional theory DFT$+U$$+V$ formalism within the all-electron full-potential linearized augmented-plane-wave (FLAPW) method as implemented in the FLEUR code. The DFT$+U$$+V$ formalism extends…

In this work using the density functional theory (DFT), we have studied the structural, electronic and magnetic properties of uranium dioxide with antiferromagnetic 1k-, 2k-, and 3k-order structures. Ordinary approximations in DFT, such as…

Materials Science · Physics 2020-08-25 Samira Sheykhi , Mahmoud Payami

The magnetic properties of CrI$_3$ monolayers, which were recently measured, have been investigated considering electronic repulsion and localization effects in Cr 3d orbitals. In this study, we propose a DFT approach using Hubbard U…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Diego Lauer , Jhon W. González , Eric Suárez Morell , Andrés Ayuela

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

High-performance batteries, heterogeneous catalysts and next-generation photovoltaics often centrally involve transition metal oxides (TMOs) that undergo charge or spin-state changes. Demand for accurate DFT modeling of TMOs has increased…

Materials Science · Physics 2024-01-23 Lórien MacEnulty , David D. O'Regan

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 develop a new density functional theory (DFT) and formalism for correlated electron systems by taking as reference an interacting electron system that has a ground state wavefunction which obeys exactly the Gutzwiller approximation for…

Superconductivity · Physics 2009-11-13 K. M. Ho , J. Schmalian , C. Z. Wang

Standard density functional approximations often give questionable results for odd-electron radical complexes, with the error typically attributed to self-interaction. In density corrected density functional theory (DC-DFT), certain classes…

Chemical Physics · Physics 2015-06-19 Min-Cheol Kim , Eunji Sim , Kieron Burke

We have formulated and implemented a fully charge-self-consistent density functional theory plus dynamical mean field theory methodology which enables an efficient calculation of the total energy of realistic correlated electron systems.…

Strongly Correlated Electrons · Physics 2015-06-22 Hyowon Park , Andrew J. Millis , Chris A. Marianetti

It turns out that the ground states of some systems are symmetry-broken states in which some property is not symmetrically distributed. In the case of strongly correlated electron systems, that were studied by the DFT+U method, researchers…

Materials Science · Physics 2024-04-29 Mahmoud Payami

The self-consistent charge density functional tight-binding (DFTB) theory is a useful tool for realizing the electronic structures of large molecular complex systems. In this study, we analyze the electronic structure of C61, formed by…

Materials Science · Physics 2016-06-14 Jia Wang , Xing Dai , Wanrun Jiang , Tianrong Yu , Zhigang Wang

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

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

Accurately modeling compounds with partially filled $d$ and $f$ shells remains a hard challenge for density-functional theory, due to large self-interaction errors stemming from local or semi-local exchange-correlation functionals. Hubbard…

Materials Science · Physics 2026-01-19 Kinga Warda , Eric Macke , Iurii Timrov , Lucio Colombi Ciacchi , Piotr M. Kowalski

Dynamical correlations and non-local contributions beyond static mean-field theories are of fundamental importance for describing the electronic structure of correlated metals. Their effects are usually described with many-body approaches…

Strongly Correlated Electrons · Physics 2023-09-22 Marco Vanzini , Nicola Marzari