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We explore the simplification of widely used meta-generalized-gradient approximation (mGGA) exchange-correlation functionals to the Laplacian level of refinement by use of approximate kinetic energy density functionals (KEDFs). Such…

Chemical Physics · Physics 2017-12-01 Daniel Mejia-Rodriguez , S. B. Trickey

Most realistic calculations of moderately correlated materials begin with a ground-state density functional theory (DFT) calculation. While Kohn-Sham DFT is used in about 40,000 scientific papers each year, the fundamental underpinnings are…

Strongly Correlated Electrons · Physics 2022-09-26 Kieron Burke , John Kozlowski

Relativistic energy density functionals (REDF) provide a complete and accurate, global description of nuclear structure phenomena. A modern semi-empirical functional, adjusted to the nuclear matter equation of state and to empirical masses…

Nuclear Theory · Physics 2015-06-05 V. Prassa , T. Niksic , G. A. Lalazissis , D. Vretenar

Range-separated methods combining a short-range density functional with long-range random phase approximations RPAs with or without exchange response kernel are tested on rare-gas dimers and the S22 benchmark set of weakly interacting…

Chemical Physics · Physics 2014-04-10 Wuming Zhu , Julien Toulouse , Andreas Savin , János G. Angyán

We investigate the construction of approximated exchange-correlation functionals by interpolating locally along the adiabatic connection between the weak- and the strong-coupling regimes, focussing on the effect of using approximate…

Chemical Physics · Physics 2017-04-05 Stefan Vuckovic , Lucas O. Wagner , Andrew M. Teale , Paola Gori-Giorgi

The particle-hole interaction problem is longstanding within time-dependent density functional theory (TDDFT) and leads to extreme errors in the prediction of K-edge X-ray absorption spectra (XAS). We derive a linear-response formalism that…

Chemical Physics · Physics 2022-10-18 Kevin Carter-Fenk , Leonardo A. Cunha , Juan E. Arias-Martinez , Martin Head-Gordon

Orbital-free density functional theory promises to deliver linear-scaling electronic structure calculations. This requires the knowledge of the non-interacting kinetic-energy density functional (KEDF), which should be accurate and must…

Materials Science · Physics 2024-12-12 Michael A. J. Mitchell , Teresa Del Aguila Ferrandis , Stefano Sanvito

We propose a systematic and constructive way to determine the exchange-correlation potentials of density-functional theories including vector potentials. The approach does not rely on energy or action functionals. Instead it is based on…

A new implementation is proposed for including van der Waals (vdW) interactions in Density Functional Theory (DFT) using the Maximally-Localized Wannier functions (MLWFs), which is free from empirical parameters. With respect to the…

Chemical Physics · Physics 2019-05-22 Pier Luigi Silvestrelli , Alberto Ambrosetti

We present a density functional theory (DFT) for lattice models with local electron-electron (e-e) and electron-phonon (e-ph) interactions. Exchange-correlation potentials are derived via dynamical mean field theory for the…

Strongly Correlated Electrons · Physics 2019-09-04 E. Viñas Boström , P. Helmer , P. Werner , C. Verdozzi

A relativistic density-functional theory based on a Fock-space effective quantum-electrodynamics (QED) Hamiltonian using the Coulomb or Coulomb-Breit two-particle interaction is developed. This effective QED theory properly includes the…

Chemical Physics · Physics 2021-05-03 Julien Toulouse

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

We combine density-functional theory with density-matrix functional theory to get the best of both worlds. This is achieved by range separation of the electronic interaction which permits to rigorously combine a short-range density…

Chemical Physics · Physics 2015-05-19 Daniel R. Rohr , Julien Toulouse , Katarzyna Pernal

One of the major computational bottlenecks in one-body reduced density matrix (1RDM) functional theory is the evaluation of approximate 1RDM functionals and their derivatives. The reason is that more advanced approximate functionals are…

Computational Physics · Physics 2016-02-15 Klaas J. H. Giesbertz

We describe a method, that we call data projection onto parameter space (DPPS), to optimize an energy functional of the electron density, so that it reproduces a dataset of experimental magnitudes. Our scheme, based on Bayes theorem,…

Chemical Physics · Physics 2016-06-29 Michelle Fritz , Marivi Fernandez-Serra , Jose M. Soler

We formulate a time-dependent density-matrix functional theory (TDDMFT) approach for higher-order correlation effects like biexcitons in optical processes in solids based on the reduced two-particle density-matrix formalism within the…

Materials Science · Physics 2015-05-19 Volodymyr Turkowski , Carsten A. Ullrich , Talat S. Rahman , Michael N. Leuenberger

The random phase approximation (RPA) for the electron correlation energy, combined with the exact-exchange energy, represents the state-of-the-art exchange-correlation functional within density-functional theory (DFT). However, the standard…

Other Condensed Matter · Physics 2015-05-20 Xinguo Ren , Patrick Rinke , Alexandre Tkatchenko , Matthias Scheffler

Locality of compact one-electron orbitals expanded strictly in terms of local subsets of basis functions can be exploited in density functional theory (DFT) to achieve linear growth of computation time with systems size, crucial in…

Computational Physics · Physics 2021-10-01 Yifei Shi , Jessica Karaguesian , Rustam Z. Khaliullin

Exchange hole is the principle constituent in density functional theory, which can be used to accurately design exchange energy functional and range separated hybrid functionals coupled with some appropriate correlation. Recently, density…

Materials Science · Physics 2017-09-14 Bikash Patra , Subrata Jana , Prasanjit Samal

Methods based on propagation of the one-body reduced density-matrix hold much promise for the simulation of correlated many-electron dynamics far from equilibrium, but difficulties with finding good approximations for the interaction term…

Chemical Physics · Physics 2016-02-12 Peter Elliott , Neepa T. Maitra