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We have performed a systematic study of the emergence of meta-stable states in density functional theory plus Hubbard U (DFT+U ) simulations of NiO, CoO, FeO. Particular attention is given to the spin-polarization of the…

Materials Science · Physics 2018-10-25 Samara Keshavarz , Patrik Thunström

The Perdew-Zunger self-interaction correction cures many common problems associated with semilocal density functionals, but suffers from a size-extensivity problem when Kohn-Sham orbitals are used in the correction. Fermi-L\"{o}wdin-orbital…

Computational Physics · Physics 2017-06-30 Zeng-hui Yang , Mark R. Pederson , John P. Perdew

To explore the applicability of orbital-free density functional theory (OF-DFT) in nuclear physics, we perform a systematic benchmark of 36 one-point kinetic energy density functionals, which are originally developed for electron systems in…

Nuclear Theory · Physics 2026-05-20 Tian Shuai Shang , Jian Li , Haozhao Liang , Xinhui Wu , Cheng Ma , Wenhui Mi , Xuecheng Shao , Yanchao Wang

Incorporating nuclear shell effects within the framework of orbital-free density functional theory (DFT) has remained a longstanding challenge in nuclear physics. While the Hohenberg-Kohn theorem formally guarantees the existence of an…

Nuclear Theory · Physics 2026-03-03 Xinhui Wu , Gianluca Colò , Kouichi Hagino , Pengwei Zhao

Orbital degrees of freedom play an essential role in metals, semiconductors, and strongly confined electronic systems. Experiments with ultracold atoms have used highly anisotropic confinement to explore low-dimensional physics, but…

A density functional theory (DFT) approach to computing transition metal oxide heat of formation without adjustable parameters is presented. Different degrees of $d$-electron localization in oxides are treated within the DFT+$U$ approach…

Materials Science · Physics 2022-04-01 Johannes Voss

In order to obtain a reasonably accurate and easily implemented approach to many-electron calculations, we will develop a new Density Functional Theory (DFT). Specifically, we derive an approximation to electron density, the first term of…

Materials Science · Physics 2010-04-23 Gregory C. Dente

In this paper we revisit the Levy-Perdew-Sahni equation. We establish that the relation implicitly contains the conservation of energy density at every point of the system. The separate contributions to the total energy density are…

Materials Science · Physics 2007-05-23 K. Palotas , W. A. Hofer

The two-dimensional Hubbard model on the square lattice is studied in the presence of lattice distortions in the adiabatic approximation. The self energy is computed within perturbation theory up to second order, which provides a way for…

Strongly Correlated Electrons · Physics 2009-02-26 C. A. Lamas

We studied ferromagnetism in the one-dimensional Hubbard model with doubly degenerate atomic orbitals by means of the density-matrix renormalization-group method and obtained the ground-state phase diagrams. It was found that ferromagnetism…

Strongly Correlated Electrons · Physics 2009-11-07 Harumi Sakamoto , Tsutomu Momoi , Kenn Kubo

A model to describe electronic correlations in energy bands is considered. The model is a generalization of the conventional Hubbard model that allows for the fact that the wavefunction for two electrons occupying the same Wannier orbital…

Strongly Correlated Electrons · Physics 2009-11-07 J. E. Hirsch

A repulsive Coulomb interaction between electrons in different orbitals in correlated materials can give rise to bound quasiparticle states. We study the non-hybridized two-orbital Hubbard model with intra (inter)-orbital interaction $U$…

Strongly Correlated Electrons · Physics 2018-04-04 Y. Nunez-Fernandez , G. Kotliar , K. Hallberg

Late transition-metal oxides with small charge-transfer energy $\Delta$ raise issues for state-of-the-art correlated electronic structure schemes such as the combination of density functional theory (DFT) with dynamical mean-field theory…

Strongly Correlated Electrons · Physics 2019-09-17 Frank Lechermann , Wolfgang Körner , Daniel F. Urban , Christian Elsässer

Recent angle-resolved photoemission measurements on La$_3$Ni$_2$O$_7$ have challenged the density-functional-theory-based picture of three Fermi surfaces by revealing that the $d_{z^2}$-derived $\gamma$ band can reside below the Fermi…

Strongly Correlated Electrons · Physics 2026-05-12 Yong-Yue Zong , Shun-Li Yu , Jian-Xin Li

We study the decay rate for the energy of solutions of a damped wave equation in a situation where the Geometric Control Condition is violated. We assume that the set of undamped trajectories is a flat torus of positive codimension and that…

Analysis of PDEs · Mathematics 2014-11-27 Matthieu Léautaud , Nicolas Lerner

We derive a self-consistent local variant of the Thomas-Fermi approximation for (quasi-)two-dimensional (2D) systems by localizing the Hartree term. The scheme results in an explicit orbital-free representation of the electron density and…

Strongly Correlated Electrons · Physics 2013-02-04 E. Rasanen , S. Pittalis , G. Bekcioglu , I. Makkonen

We present the results of an LDA and LDA+U band structure study of the monoclinic and the corundum phases of V2O3 and argue that the most prominent (spin 1/2) models used to describe the semiconductor metal transition are not valid.…

Materials Science · Physics 2009-10-31 S. Yu. Ezhov , V. I. Anisimov , D. I. Khomskii , G. A. Sawatzky

The atomic structure, energy of formation, and electronic states of vacancies in H-passivated Ge nanocrystals are studied by density functional theory (DFT) methods. The competition between quantum self-purification and the free surface…

Materials Science · Physics 2015-05-19 Kenneth Bayus , O. Paz , S. P. Beckman

The Fermi-L\"owdin orbital (FLO) approach to the Perdew-Zunger self-interaction correction (PZ-SIC) to density functional theory (DFT) is described and an improved approach to the problem of optimizing the Fermi-orbitals in order to…

Chemical Physics · Physics 2019-10-24 K. A. Jackson , J. E. Peralta , R. P. Joshi , K. P. Withanage , K. Trepte , K. Sharkas , A. I. Johnson

Quasiparticle energies and fundamental band gaps in particular are critical properties of molecules and materials. It was rigorously established that the generalized Kohn-Sham HOMO and LUMO orbital energies are the chemical potentials of…

Chemical Physics · Physics 2019-03-06 Yuncai Mei , Chen Li , Neil Qiang Su , Weitao Yang