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Recent experiments revealed intriguing similarities in the $^{64}$Ni+$^{207}$Pb, $^{132}$Xe+$^{208}$Pb, and $^{238}$U+$^{238}$U reactions at energies around the Coulomb barrier. The experimental data indicate that for all systems…

Nuclear Theory · Physics 2017-03-01 Kazuyuki Sekizawa , Sophia Heinz

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

While the accurate description of redox reactions remains a challenge for first-principles calculations, it has been shown that extended Hubbard functionals (DFT+U+V) can provide a reliable approach, mitigating self-interaction errors, in…

Materials Science · Physics 2026-02-02 Cristiano Malica , Nicola Marzari

We compare the behavior of the finite-temperature Hartree-Fock model with that of thermal density functional theory using both ground-state and temperature-dependent approximate exchange functionals. The test system is bcc Li in the…

Materials Science · Physics 2013-11-26 Valentin V. Karasiev , Travis Sjostrom , S. B. Trickey

Density functional theory augmented with Hubbard-$U$ corrections (DFT+$U$) is currently one of the widely used methods for first-principles electronic structure modeling of insulating transition metal oxides (TMOs). Since $U$ is relatively…

Computational Physics · Physics 2018-05-09 Samara Keshavarz , Johan Schött , Andrew J. Millis , Yaroslav O. Kvashnin

Two very different methods -- exact diagonalization on finite chains and a variational method -- are used to study the possibility of a metal-insulator transition in the symmetric half-filled periodic Anderson-Hubbard model. With this aim…

Strongly Correlated Electrons · Physics 2015-06-05 I. Hagymasi , K. Itai , J. Solyom

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

In this study, we use Hubbard-Corrected density functional theory (DFT+$U$) to derive spin model Hamiltonians consisting of Heisenberg exchange interactions up to the fourth nearest neighbors and bi-quadratic interactions. We map the…

Materials Science · Physics 2023-05-03 Mojtaba Alaei , Homa Karimi

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

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

Hybrid density functionals, which replaces a fraction of density functional theory (DFT) exchange with exact Hartree-Fock (HF) exchange, have been used to study the structural, magnetic, and electronic properties of delta-Plutonium. The…

Materials Science · Physics 2009-11-13 Raymond Atta-Fynn , Asok K. Ray

HF-DFT, the practice of evaluating approximate density functionals on Hartree-Fock densities, has long been used in testing density functional approximations. Density-corrected DFT (DC-DFT) is a general theoretical framework for identifying…

Chemical Physics · Physics 2021-10-18 Suhwan Song , Stefan Vuckovic , Eunji Sim , Kieron Burke

A systematic comparative study has been performed to better understand DFT$+U$ (density functional theory + $U$) method. We examine the effect of choosing different double counting and exchange-correlation functionals. The calculated energy…

Strongly Correlated Electrons · Physics 2018-06-26 Siheon Ryee , Myung Joon Han

Machine learning has emerged as a powerful tool for predicting molecular properties in chemical reaction networks with reduced computational cost. However, accurately predicting energies of transition state (TS) structures remains a…

Chemical Physics · Physics 2025-04-29 Stefan Gugler , Markus Reiher

We demonstrate that the charge distributions in Hubbard-model representations of transition metal oxide heterojucntions can be described by a Thomas-Fermi theory in which the energy is approximated as the sum of the electrostatic energy and…

Strongly Correlated Electrons · Physics 2009-11-13 Wei-Cheng Lee , A. H. MacDonald

We discuss the recently proposed LDA'+DMFT approach providing consistent parameter free treatment of the so called double counting problem arising within the LDA+DMFT hybrid computational method for realistic strongly correlated materials.…

Strongly Correlated Electrons · Physics 2015-06-11 I. A. Nekrasov , N. S. Pavlov , M. V. Sadovskii

In this work, we study the extended Falicov-Kimball model at half-filling within the Hartree-Fock approach (HFA) (for various crystal lattices) and compare the results obtained with the rigorous ones derived within the dynamical mean field…

Strongly Correlated Electrons · Physics 2020-11-17 Konrad Jerzy Kapcia , Romuald Lemański , Marcin Jakub Zygmunt

Energy barriers, which control the rates of chemical reactions, are seriously underestimated by computationally-efficient semi-local approximations for the exchange-correlation energy. The accuracy of a semi-local density functional…

Chemical Physics · Physics 2023-11-06 Bikash Kanungo , Aaron D. Kaplan , Chandra Shahi , Vikram Gavini , John P. Perdew

A density functional theory (DFT) framework is presented that links functional derivatives of free-energy functionals to non-linear static density response functions in quantum many-body systems. Within this framework, explicit expressions…

Calculations combining density functional theory (DFT) and dynamical mean-field theory (DMFT) for transition metal (TM) oxides and similar compounds usually focus on improving the description of the TM $d$ states. Here, we emphasize the…

Strongly Correlated Electrons · Physics 2025-03-26 Alberto Carta , Anwesha Panda , Claude Ederer
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