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To better understand the thermochemical kinetics and mechanism of a specific chemical reaction, an accurate estimation of barrier heights (forward and reverse) and reaction energy are vital. Due to the large size of reactants and transition…

Chemical Physics · Physics 2022-08-24 Golokesh Santra , Rivka Calinsky , Jan M. L. Martin

We describe a procedure for mapping a self-consistent mean-field theory (also known as density functional theory) into a shell model Hamiltonian that includes quadrupole-quadrupole and monopole pairing interactions in a truncated space. We…

Nuclear Theory · Physics 2008-11-26 R. Rodriguez-Guzman , Y. Alhassid , G. F. Bertsch

We propose a systematic procedure for the approximation of density functionals in density functional theory that consists of two parts. First, for the efficient approximation of a general density functional, we introduce an efficient ansatz…

Strongly Correlated Electrons · Physics 2016-08-29 Michael Lubasch , Johanna I. Fuks , Heiko Appel , Angel Rubio , J. Ignacio Cirac , Mari-Carmen Bañuls

We present a systematic Density Functional Theory (DFT) study of geometries and energies of the nucleic acid DNA bases (guanine, adenine, cytosine and thymine) and 30 different DNA base-pairs. We use a recently developed linear-scaling DFT…

Chemical Physics · Physics 2007-05-23 Maider Machado , Pablo Ordejon , Emilio Artacho , Daniel Sanchez-Portal , Jose M. Soler

We derive and analyze a hierarchy of approximations to the strongly correlated limit of the Hohenberg-Kohn functional. These "density representability approximations" are obtained by first noting that in the strongly correlated limit,…

Chemical Physics · Physics 2013-10-25 Gero Friesecke , Christian B. Mendl , Brendan Pass , Codina Cotar , Claudia Klüppelberg

Density functional theory has become the workhorse of quantum physics, chemistry, and materials science. Within these fields, a broad range of applications needs to be covered. These applications range from solids to molecular systems, from…

Chemical Physics · Physics 2025-01-20 Christof Holzer , Yannick J. Franzke

Condensed Fermi systems with an odd number of particles can be described by means of polarizing external fields having a time-odd character. We illustrate how this works for Fermi gases and atomic nuclei treated by density functional theory…

Superconductivity · Physics 2009-09-20 George Bertsch , Jacek Dobaczewski , Witold Nazarewicz , Junchen Pei

Modern density functional approximations achieve moderate accuracy at low computational cost for many electronic structure calculations. Some background is given relating the gradient expansion of density functional theory to the WKB…

Chemical Physics · Physics 2021-01-27 Kieron Burke

A benchmark ab initio and density functional (DFT) study has been carried out on the electron affinities of the first- and second-row atoms. The ab initio study involves basis sets of $spdfgh$ and $spdfghi$ quality, extrapolations to the…

Chemical Physics · Physics 2009-10-31 Glenisson de Oliveira , Jan M. L. Martin , Frank de Proft , Paul Geerlings

We consider electronic exchange and correlation effects in density-functional calculations of two-dimensional systems. Starting from wave function calculations of total energies and electron densities of inhomogeneous model systems, we…

Mesoscale and Nanoscale Physics · Physics 2012-05-30 Ilja Makkonen , Mikko M. Ervasti , Ville Kauppila , Ari Harju

We discuss two different approximation schemes for the self-consistent solution of the {\it relativistic} Brueckner-Hartree-Fock equation for finite nuclei. In the first scheme, the Dirac effects are deduced from corresponding nuclear…

Nuclear Theory · Physics 2009-10-22 R. Fritz H. Müther , R. Machleidt

We introduce a novel energy functional for ground-state electronic-structure calculations. Its fundamental variables are the natural spin-orbitals of the implied singlet many-body wave function and their joint occupation probabilities. The…

Chemical Physics · Physics 2015-06-23 Ralph Gebauer , Morrel H. Cohen , Roberto Car

By revisiting the path-integral formulation of the Hubbard model, we propose a theoretical approach based on a semiclassical approximation employing an unconventional coherent-state representation. Within this framework, a subset of the…

Strongly Correlated Electrons · Physics 2026-04-06 Yuki Yamasaki , Hidemaro Suwa , Cristian D. Batista , Shintaro Hoshino

We have examined the performance of the analytic Hartree-Fock-Slater (HFS) method for various alpha (Slater's exchange parameter) values and empiricaly determined the optimal alpha value by minimizing the mean absolute error (MAE) in…

Other Condensed Matter · Physics 2016-08-31 Rajendra R. Zope , Brett I. Dunlap

We review the performance of the PBEint GGA functional (Phys. Rev. B 2010, 82, 113104) recently proposed to improve the description of hybrid interfaces, and we introduce its one-parameter hybrid form (hPBEint). We consider different well…

Chemical Physics · Physics 2013-01-31 E. Fabiano , L. A. Constantin , F. Della Sala

The crystalline structure of ground-state orthorhombic SrRuO$_3$ is reproduced by applying hybrid density functional theory scheme to the functionals based on the revised generalized-gradient approximations for solid-state calculations. The…

Materials Science · Physics 2016-10-11 Š. Masys , V. Jonauskas

We investigate the performance of the range-separated hybrid (RSH) scheme, which combines long-range Hartree-Fock (HF) and a short-range density-functional approximation (DFA), for calculating photoexcitation/photoionization spectra of the…

Chemical Physics · Physics 2019-07-24 Felipe Zapata , Eleonora Luppi , Julien Toulouse

The functional-renormalization-group aided density-functional theory (FRG-DFT) is applied to the two-dimensional homogeneous electron gas (2DHEG). The correlation energy of the 2DHEG is derived as a function of the Wigner-Seitz radius $…

Strongly Correlated Electrons · Physics 2019-03-13 Takeru Yokota , Tomoya Naito

The crucial step in density-corrected Hartree-Fock density functional theory (DC(HF)-DFT) is to decide whether the density produced by the density functional for a specific calculation is erroneous and hence should be replaced by, in this…

Chemical Physics · Physics 2023-09-20 Daniel Graf , Alex J. W. Thom

A theoretical description for the radial density profile of a finite number of identical charged particles confined in a harmonic trap is developed for application over a wide range of Coulomb coupling (or, equivalently, temperatures) and…

Statistical Mechanics · Physics 2015-05-14 J. Wrighton , J. W. Dufty , H. Kählert , M. Bonitz