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Universal exact conditions guided the construction of most ground-state density functional approximations in use today. We derive the relation between the entropy and Mermin free energy density functionals for thermal density functional…

Chemical Physics · Physics 2016-05-25 Kieron Burke , Justin C. Smith , Paul E. Grabowski , Aurora Pribram-Jones

Usually, density functional models are considered approximations to density functional theory, However, there is no systematic connection between the two, and this can make us doubt about a linkage. This attitude can be further enforced by…

Chemical Physics · Physics 2020-11-10 Andreas Savin

Ensemble density functional theory (EDFT) is a promising alternative to time-dependent density functional theory for computing electronic excitation energies. Using coordinate scaling, we prove several fundamental exact conditions in EDFT…

Strongly Correlated Electrons · Physics 2023-07-04 Thais R. Scott , John Kozlowski , Steven Crisostomo , Aurora Pribram-Jones , Kieron Burke

The restoration of particle number within Energy Density Functional theory is analyzed. It is shown that the standard method based on configuration mixing leads to a functional of both the projected and non-projected densities. As an…

Nuclear Theory · Physics 2011-08-08 Guillaume Hupin , Denis Lacroix , Michael Bender

We present a detailed derivation of the Gutzwiller Density Functional Theory that covers all conceivable cases of symmetries and Gutzwiller wave functions. The method is used in a study of ferromagnetic nickel where we calculate ground…

Strongly Correlated Electrons · Physics 2014-10-08 Tobias Schickling , Jörg Bünemann , Florian Gebhard , Werner Weber

The standard model of classical Density Functional Theory for pair potentials consists of a hard-sphere functional plus a mean-field term accounting for long ranged attraction. However, most implementations using sophisticated Fundamental…

Computational Physics · Physics 2021-01-04 James F. Lutsko , Cédric Schoonen

In this work we propose an artificial neural network functional to the ground-state energy of fermionic interacting particles in homogeneous chains described by the Hubbard model. Our neural network functional was proven to has an excellent…

Computational Physics · Physics 2019-02-18 C. A. Custodio , E. R. Filletti , V. V. França

We propose a lattice density-functional theory for {\it ab initio} quantum chemistry or physics as a route to an efficient approach that approximates the full configuration interaction energy and orbital occupations for molecules with…

Strongly Correlated Electrons · Physics 2019-04-19 J. P. Coe

This review explains the relationship between density functional theory and strongly correlated models using the simplest possible example, the two-site Hubbard model. The relationship to traditional quantum chemistry is included. Even in…

Strongly Correlated Electrons · Physics 2015-09-30 Diego Carrascal , Jaime Ferrer , Justin C. Smith , Kieron Burke

We propose a multiconfigurational hybrid density-functional theory which rigorously combines a multiconfiguration self-consistent-field calculation with a density-functional approximation based on a linear decomposition of the…

Chemical Physics · Physics 2012-08-20 Kamal Sharkas , Andreas Savin , Hans Jørgen Aa. Jensen , Julien Toulouse

A density-functional theory is developed based on the Maxwell--Schr\"odinger equation with an internal magnetic field in addition to the external electromagnetic potentials. The basic variables of this theory are the electron density and…

Chemical Physics · Physics 2018-01-17 Erik Tellgren

Density functional theory can be extended to excited states by means of a unified variational approach for passive state ensembles. This extension overcomes the restriction of the typical density functional approach to ground states, and…

Chemical Physics · Physics 2019-07-10 Tim Gould , Stefano Pittalis

The density linear response function for an inhomogeneous system of electrons in equilibrium with an array of fixed ions is considered. Two routes to its evaluation for extreme conditions (e.g., warm dense matter) are considered. The first…

Statistical Mechanics · Physics 2018-09-12 James Dufty , Kai Luo , S. B. Trickey

Based on recent progress on fermionic exchange symmetry we propose a way to develop new functionals for reduced density matrix functional theory. For some settings with an odd number of electrons, by assuming saturation of the inequalities…

Strongly Correlated Electrons · Physics 2018-10-23 Carlos L. Benavides-Riveros , Miguel A. L. Marques

I describe the foundation of a Density Functional Theory approach to include pairing correlations, which was applied to a variety of systems ranging from dilute fermions, to neutron stars and finite nuclei. Ground state properties as well…

Nuclear Theory · Physics 2017-08-23 Aurel Bulgac

We present a density functional scheme for calculating the pair density (PD) by means of the correlated wave function. This scheme is free from both of problems related to PD functional theory, i.e., (a) the need to constrain the…

Strongly Correlated Electrons · Physics 2015-06-25 Masahiko Higuchi , Katsuhiko Higuchi

An analysis shows that the ground state of the inhomogeneous system of interacting electrons in the static external field, which satisfies the thermodynamic limit, can be consistently described only using the Green function theory based on…

Statistical Mechanics · Physics 2014-09-02 V. B. Bobrov

One of the most powerful strategies to address properties of real many-body systems is to incorporate data obtained for models, for example, to use data of the homogeneous electron gas in order to build the Local Density Approximation for…

Materials Science · Physics 2026-05-05 Muhammed Hüseyin Güneş , Ayoub Aouina , Vitaly Gorelov , Matteo Gatti , Lucia Reining

In principle, density functional theory yields the correct ground-state densities and energies of electronic systems under the action of a static external potential. However, traditional approximations fail to include Van der Waals energies…

Condensed Matter · Physics 2016-08-31 Walter Kohn , Yigal Meir , Dmitrii E. Makarov

A model is developed, based on the density functional perturbation theory and the inverse Kohn-Sham method, that can be used to improve relativistic nuclear energy density functionals towards an exact but unknown Kohn-Sham…

Nuclear Theory · Physics 2021-04-28 Giacomo Accorto , Tomoya Naito , Haozhao Liang , Tamara Niksic , Dario Vretenar