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A widely used approximation to the exchange-correlation functional in density functional theory is the local density approximation (LDA), typically derived from the properties of the homogeneous electron gas (HEG). We previously introduced…

Other Condensed Matter · Physics 2018-06-27 Mike Entwistle , Michele Casula , Rex Godby

Common density-matrix functionals, the M\"uller and the power functional, have been benchmarked for the half-filled Hubbard dimer, which allows to model the bond dissociation problem and the transition from the weakly to the strongly…

Strongly Correlated Electrons · Physics 2016-03-09 Ebad Kamil , Robert Schade , Thomas Pruschke , Peter E. Blöchl

A recently developed density functional method, within Hohenberg-Kohn-Sham framework, is used for faithful description of atoms, molecules in Cartesian coordinate grid, by using an LCAO-MO ansatz. Classical Coulomb potential is obtained by…

Chemical Physics · Physics 2013-07-16 Amlan K. Roy

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

We have performed a thorough computational study to assess the accuracy of density functional theory (DFT) methods in describing the interactions of CO2 with model alkali-earth-metal (AEM, Ca and Li) decorated carbon structures, namely…

Materials Science · Physics 2013-01-15 Claudio Cazorla , Stephen A. Shevlin

A linear-scaling algorithm is presented for computing the Hartree-Fock (HF) exchange matrix using concentric atomic density fitting. The algorithm utilizes the stronger distance dependence of the three-center electron repulsion integrals…

Chemical Physics · Physics 2014-10-21 David S. Hollman , Henry F. Schaefer , Edward F. Valeev

In [Phys. Rev. B 107, 094433 (2023)], Deng et al. have proposed an electron-muon correlation functional within the context of the two-component density functional theory (TC-DFT) for crystals/molecules containing positively charged muons.…

Other Condensed Matter · Physics 2024-04-30 Mohammad Goli , Nahid Sadat Riyahi , Shant Shahbazian

Density functional methods were developed, in which the Coulomb electron-electron interaction is split into a long- and a short-range part. In such methods, one term is calculated using traditional density functional approximations, like…

Chemical Physics · Physics 2007-05-23 Julien Toulouse , Andreas Savin

We study the properties of convex functionals which have been proposed for the simulation of charged molecular systems within the Poisson-Boltzmann approximation. We consider the extent to which the functionals reproduce the true…

Statistical Mechanics · Physics 2015-01-12 Justine S. Pujos , A. C. Maggs

In this paper we analyze a recently proposed approach for the construction of antisymmetric functions for atomic and molecular systems. It is based on the assumption that the main problems with Hartree-Fock wavefunctions stem from their…

Quantum Physics · Physics 2019-06-18 Francisco M. Fernández

In the exact Kohn-Sham density-functional theory (DFT), the total energy versus the number of electrons is a series of linear segments between integer points. However, commonly used approximate density functionals produce total energies…

Materials Science · Physics 2013-04-03 Eli Kraisler , Leeor Kronik

An implementation of the Hartree-Fock (HF) method capable of robust convergence for well-behaved arbitrary central potentials is presented. The Hartree-Fock equations are converted to a generalized eigenvalue problem by employing a B-spline…

Atomic Physics · Physics 2021-08-13 D. T. Waide , D. G. Green , G. F. Gribakin

An approximate method based on adiabatic time dependent density functional theory (TDDFT) is presented, that allows for the description of the electron dynamics in nanoscale junctions under arbitrary time dependent external potentials. In…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Y. Wang , C. -Y. Yam , G. H. Chen , Th. Frauenheim , T. A. Niehaus

In the present work, we employ exact diagonalization for model systems on a real-space lattice to explicitly construct the exact density-to-potential and for the first time the exact density-to-wavefunction map that underly the…

Chemical Physics · Physics 2016-08-24 Tanja Dimitrov , Heiko Appel , Johanna I. Fuks , Angel Rubio

We present an accurate and efficient framework for real-space Hubbard-corrected density functional theory. In particular, we obtain expressions for the energy, atomic forces, and stress tensor suitable for real-space finite-difference…

Computational Physics · Physics 2025-10-20 Sayan Bhowmik , Andrew J. Medford , Phanish Suryanarayana

In the recent work of S. Sharma \emph{et al.}, (arxiv.org: arxiv:0912.1118), a single-electron spectrum associated with the natural orbitals was defined as the derivative of the total energy with respect to the occupation numbers at half…

Chemical Physics · Physics 2012-03-07 E. N. Zarkadoula , S. Sharma , J. K. Dewhurst , E. K. U. Gross , N. N. Lathiotakis

This work presents an alternative, general, and in-principle exact extension of electronic Kohn-Sham density functional theory (KS-DFT) to the fully quantum-mechanical molecular problem. Unlike in existing multi-component or…

Chemical Physics · Physics 2024-05-14 Emmanuel Fromager , Benjamin Lasorne

A new method for extracting ensemble Kohn-Sham potentials from accurate excited state densities is applied to a variety of two electron systems, exploring the behavior of exact ensemble density functional theory. The issue of separating the…

Converged approximate density functional calculations usually do not bind anions, due to large self-interaction error. But Hartree-Fock calculations have no such prob- lem, producing negative HOMO energies. A recently proposed scheme for…

Other Condensed Matter · Physics 2015-05-27 Min-Cheol Kim , Eunji Sim , Kieron Burke

A fully analytical approximation for the observable characteristics of many-electron atoms is developed via a complete and orthonormal hydrogen-like basis with a single-effective charge parameter for all electrons of a given atom. The basis…

Quantum Physics · Physics 2017-12-06 O. D. Skoromnik , I. D. Feranchuk , A. U. Leonau , C. H. Keitel
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