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We present an alternative to the Kohn-Sham formulation of density functional theory for the ground-state properties of strongly interacting electronic systems. The idea is to start from the limit of zero kinetic energy and systematically…

Strongly Correlated Electrons · Physics 2015-05-13 Paola Gori-Giorgi , Michael Seidl , G. Vignale

In the density functional (DF) theory of Kohn and Sham, the kinetic energy of the ground state of a system of noninteracting electrons in a general external field is calculated using a set of orbitals. Orbital free methods attempt to…

Strongly Correlated Electrons · Physics 2009-11-13 Jeng-Da Chai , John D Weeks

We introduce in detail our newly developed \textit{ab initio} LDA+Gutzwiller method, in which the Gutzwiller variational approach is naturally incorporated with the density functional theory (DFT) through the "Gutzwiller density functional…

Strongly Correlated Electrons · Physics 2013-05-29 XiaoYu Deng , Lei Wang , Xi Dai , Zhong Fang

The SCAN meta-GGA exchange-correlation functional [Phys. Rev. Lett. 115, 036402 (2015)] is constructed as a chemical environment-determined interpolation between two separate energy densities: one describes single orbital electron densities…

Materials Science · Physics 2022-02-02 James W. Furness , Aaron D. Kaplan , Jinliang Ning , John P. Perdew , Jianwei Sun

The non-interacting kinetic energy functional, $T_{KS}(\rho)$, plays a fundamental role in Density Functional Theory (DFT), but its explicit form remains unknown for arbitrary $N$-representable densities. Although it can, in principle, be…

Chemical Physics · Physics 2025-11-19 Dharamveer Kumar , Amuthan A. Ramabathiran

Deorbitalization of a conventional meta-generalized-gradient exchange-correlation approximation replaces its dependence upon the Kohn-Sham kinetic energy density with a dependence on the density gradient and Laplacian. In principle, that…

Materials Science · Physics 2026-02-13 H. Francisco , B. Thapa , S. B. Trickey , A. C. Cancio

During the past decades, approximate Kohn-Sham density-functional theory schemes garnered many successes in computational chemistry and physics; yet the performance in the prediction of spin state energetics is often unsatisfactory. By…

Other Condensed Matter · Physics 2023-05-05 Joao Paulo Almeida de Mendonca , Lorenzo A. Mariano , Emilie Devijver , Noel Jakse , Roberta Poloni

We present a kinetic energy tensor that unifies a scalar kinetic energy density commonly used in meta-Generalized Gradient Approximation functionals and the vorticity density that appears in paramagnetic current-density-functional theory.…

Chemical Physics · Physics 2018-11-14 Sangita Sen , Erik I. Tellgren

Density functional calculations of Rydberg excited states up to high energy are carried out for several molecules using an approach where the orbitals are variationally optimized by converging on saddle points on the electronic energy…

Multiconfiguration pair-density functional theory (MC-PDFT) is a post-MCSCF multireference electronic-structure method that explicitly models strong electron correlation, and linearized pair-density functional theory (L-PDFT) is a recently…

Koopmans-compliant functionals emerge naturally from extending the constraint of piecewise linearity of the total energy as a function of the number of electrons to each fractional orbital occupation. When applied to approximate…

Materials Science · Physics 2015-06-19 Giovanni Borghi , Andrea Ferretti , Ngoc Linh Nguyen , Ismaila Dabo , Nicola Marzari

An oversight of some previous density functional calculations of the band gaps of wurtzite and cubic InN and of wurtzite GaN by Rinke et al. [Appl. Phys. Lett. 89,161919, 2006] led to an inaccurate and misleading statement relative to…

Materials Science · Physics 2011-02-03 D. Bagayoko , L. Franklin , G. L. Zhao

The thermal properties of bulk copper are investigated by performing ab initio DFT and DFPT calculations and using the quasiharmonic approximation for the free energy. Using both the LDA and the GGA for the exchange-correlation potential,…

Materials Science · Physics 2009-11-07 Shobhana Narasimhan , Stefano de Gironcoli

The quasi-particle model of quark gluon plasma (QGP) is revisited here with thermodynamically consistent formalism, different from earlier studies, without the need of temperature dependent bag constant as well as other effects such as…

High Energy Physics - Phenomenology · Physics 2010-10-27 Vishnu M. Bannur

The random phase approximation (RPA) is attracting renewed interest as a universal and accurate method for first-principles total energy calculations. The RPA naturally accounts for long-range dispersive forces without compromising accuracy…

Materials Science · Physics 2013-03-04 Thomas Olsen , Kristian S. Thygesen

The strong-interaction functionals $W_\infty[n]$ and ${W'}_\infty[n]$ play an important role in the adiabatic-connection method of Density Functional Theory. The strictly-correlated electron approach can be used to exactly compute these…

Other Condensed Matter · Physics 2026-03-09 L. A. Constantin , F. Naeem , 3 E. Fabiano , F. Sarcinella , F. Della Sala

We present a new method to describe the kinetics of driven lattice gases with particle-particle interactions beyond hard-core exclusions. The method is based on the time-dependent density functional theory for lattice systems and allows one…

Statistical Mechanics · Physics 2015-05-20 Marcel Dierl , Philipp Maass , Mario Einax

We construct a meta-generalized-gradient approximation which properly balances the nonlocality contributions to the exchange and correlation at the semilocal level. This non-empirical functional shows good accuracy for a broad palette of…

Chemical Physics · Physics 2013-05-17 L. A. Constantin , E. Fabiano , F. Della Sala

We show that the Kohn-Sham positive-definite kinetic energy (KE) density significantly differs from the von Weizs\"acker (VW) one at the nuclear cusp as well as in the asymptotic region. At the nuclear cusp, the VW functional is shown to be…

Chemical Physics · Physics 2015-02-03 F. Della Sala , E. Fabiano , L. A. Constantin

Non-linear functions are prevalent in Transformers and their lightweight variants, incurring substantial and frequently underestimated hardware costs. Previous state-of-the-art works optimize these operations by piece-wise linear…