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Related papers: Non-empirical 'derivation' of B88 exchange functio…

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In this work a two-particle irreducible (2PI) closed-time-path (CTP) effective action is used to describe the nonequilibrium dynamics of a Bose Einstein condensate (BEC) selectively loaded into every third site of a one-dimensional optical…

Soft Condensed Matter · Physics 2013-05-29 Ana Maria Rey , B. L. Hu , Esteban Calzetta , Albert Roura , Charles Clark

We compute the ground-state properties of finite systems of neutrons in an external harmonic trap, interacting via the Minnesota potential, using the "exact-exchange" form of orbital-dependent density functional theory. We compare our…

Nuclear Theory · Physics 2011-07-28 Joaquín E. Drut , Lucas Platter

It is known that binding energies calculated from the Bethe-Salpeter equation in ladder approximation can be reasonably well accounted for by an energy-dependent interaction, at least for the lowest states. It is also known that none of…

Nuclear Theory · Physics 2009-11-06 A. Amghar , B. Desplanques , L. Theussl

Many-electron systems at substantial finite temperatures and densities present a major challenge to density functional theory. Very little is known about the free-energy behavior over the temperature range of interest, for example, in the…

Materials Science · Physics 2012-01-25 Travis Sjostrom , Frank E. Harris , S. B. Trickey

We present the first of a two-part Mathematica notebook collection that implements a symbolic approach for the application of the density matrix expansion (DME) to the Hartree-Fock (HF) energy from a chiral effective field theory (EFT)…

Computational Physics · Physics 2010-04-22 B. Gebremariam , S. K. Bogner , T. Duguet

We investigate the behavior of the kinetic and the exchange energy densities near the nuclear cusp of atomic systems. Considering hydrogenic orbitals, we derive analytical expressions near the nucleus, for single shells, as well as in the…

Other Condensed Matter · Physics 2016-04-01 L. A. Constantin , E. Fabiano , F. Della Sala

The exchange-correlation energy in Kohn-Sham density functional theory is expressed as a functional of the electronic density and the Kohn-Sham orbitals. An alternative to Kohn-Sham theory is to express the energy as a functional of the…

Computational Physics · Physics 2009-10-31 S. Goedecker , C. Umrigar

An exchange energy functional is proposed and tested for obtaining a class of excited-state energies using density functional formalism. The functional is the excited-state counterpart of the local-density approximation functional for the…

Materials Science · Physics 2007-05-23 Prasanjit Samal , Manoj K. Harbola

It is well known that in the gradient expansion approximation to density functional theory (DFT) the gradient and Laplacian of the density make interchangeable contributions to the exchange correlation (XC) energy. This is an arbitrary…

Chemical Physics · Physics 2013-08-20 Antonio C. Cancio , Chris E. Wagner

Density functionals with asymptotic corrections to the long-range potential provide entry-level methods for calculations on molecules that can sustain charge transfer, but similar applications in Materials Science are rare. We describe an…

Materials Science · Physics 2022-02-04 Musen Li , Jeffrey R. Reimers , Michael J. Ford , Rika Kobayashi , Roger D. Amos

A two-orbital two-electron diatomic model resembling LiH is used to investigate the differences between the exact L\"owdin-Shull and approximate Hartree-Fock-Bogoliubov and Baerends-Buijse density matrix functionals in the medium- to…

Chemical Physics · Physics 2020-09-09 Robert van Meer , Jeng-Da Chai

Multireference effects are associated with degeneracies and near-degeneracies of the ground state and are critical to a variety of systems. Most approximate functionals of density functional theory (DFT) fail to properly describe these…

Quantum Physics · Physics 2021-09-17 Conrad Lewis , Emil Proynov , Jianguo Yu , Jing Kong

We present a method for obtaining outer valence quasiparticle excitation energies from a DFT-based calculation, with accuracy that is comparable to that of many-body perturbation theory within the GW approximation. The approach uses a…

Strongly Correlated Electrons · Physics 2015-06-04 Sivan Refaely-Abramson , Sahar Sharifzadeh , Niranjan Govind , Jochen Autschbach , Jeffrey B. Neaton , Roi Baer , Leeor Kronik

In the present work, we revisit the problem of the inhomogeneous electron gas under the influence of a weak external potential, which allows us to calculate the gradient corrections to the density functional within linear response, an…

Materials Science · Physics 2026-02-03 Mario Benites , Angel Rosado , Efstratios Manousakis

We derive an explicit expression for the functional derivative of the subleading term in the strong interaction limit expansion of the generalized Levy--Lieb functional for the special case of two electrons in one dimension. The expression…

Chemical Physics · Physics 2019-06-07 Juri Grossi , Michael Seidl , Paola Gori-Giorgi , Klaas J. H. Giesbertz

In this paper, an exchange functional which is compatible with the non-local Rutgers-Chalmers correlation functional (vdW-DF) is presented. This functional, when employed with vdW-DF, demonstrates remarkable improvements on intermolecular…

Chemical Physics · Physics 2012-03-12 Valentino R. Cooper

To simulate non-equilibrium compressible flows, a new discrete Boltzmann model, discrete Ellipsoidal Statistical(ES)-BGK model, is proposed. Compared with the original discrete BGK model, the discrete ES-BGK has a flexible Prandtl number.…

Fluid Dynamics · Physics 2018-03-08 Yudong Zhang , Aiguo Xu , Guangcai Zhang , Zhihua Chen , Pei Wang

We present a density difference based analysis for a range of orbital--dependent Kohn--Sham functionals. Results for atoms, some members of the neon isoelectronic series and small molecules are reported and compared with ab initio…

Chemical Physics · Physics 2015-01-22 I. Grabowski , A. M. Teale , E. Fabiano , S. Smiga , A. Buksztel , F. Della Sala

We present results that compare the accuracy of the AM05 density functional to a set of chemical reaction energies. The reactions were generated from the singlet species in the well-known G2 test suite. Our results show that, in general,…

Chemical Physics · Physics 2009-10-29 Richard P. Muller , Ann E. Mattsson , Curtis L. Janssen

Ensemble density functional theory is a promising method for the efficient and accurate calculation of excitations of quantum systems, at least if useful functionals can be developed to broaden its domain of practical applicability. Here,…

Chemical Physics · Physics 2017-12-25 Tim Gould , Stefano Pittalis
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