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We suggest to include the density of electron charge explicitly in the electron potential of density functional theory, rather than implicitly via exchange-correlation functionals. The advantages of the approach are conceptual and…

Materials Science · Physics 2007-05-23 Werner A. Hofer , Krisztian Palotas

Motivated by the resurgence of electronic and optical property design in ordered fluoride and oxyfluoride compounds, we present a density functional theory (DFT) study on 19 materials with structures, ranging from simple to complex, and…

Materials Science · Physics 2016-11-23 Nenian Charles , James M. Rondinelli

We assess the validity of various exchange-correlation functionals for computing the structural, vibrational, dielectric, and thermodynamical properties of materials in the framework of density-functional perturbation theory (DFPT). We…

The local density approximation (LDA) constructed through quantum Monte Carlo calculations of the homogeneous electron gas (HEG) is the most common approximation to the exchange-correlation functional in density functional theory. We…

Other Condensed Matter · Physics 2021-01-15 Mike Entwistle , Matthew Hodgson , Jack Wetherell , Bradley Longstaff , James Ramsden , Rex Godby

We discuss, simplify, and improve the spin-dependent correction of L.A. Constantin et al., Phys. Rev. B 84, 233103, for atomization energies, and develop a density parameter of the form $v\propto |\nabla n|/n^{10/9}$, found from the…

Chemical Physics · Physics 2013-02-01 L. A. Constantin , E. Fabiano , F. Della Sala

An explicitly orbital-dependent correlation energy functional is proposed, which is to be used in combination with the orbital-dependent exchange energy functional in energy-band calculations. It bears a close resemblance to the…

Strongly Correlated Electrons · Physics 2009-11-10 Masahiko Higuchi , Hiroshi Yasuhara

We show how one can construct \alert{a simple} exchange functional by extending the well-know local-density approximation (LDA) to finite uniform electron gases. This new generalized local-density approximation (GLDA) functional uses only…

Chemical Physics · Physics 2017-05-01 Pierre-François Loos

We analyze the methodology and the performance of subsystem density functional theory (DFT) with meta-generalized gradient approximation (meta-GGA) exchange-correlation functionals for non-bonded systems. Meta-GGA functionals depend on the…

Other Condensed Matter · Physics 2015-05-05 S. Śmiga , E. Fabiano , S. Laricchia , L. A. Constantin , F. Della Sala

In the current density functional theory of linear and nonlinear time-dependent phenomena, the treatment of exchange and correlation beyond the level of the adiabatic local density approximation is shown to lead to the appearance of…

Condensed Matter · Physics 2009-10-30 G. Vignale , C. A. Ullrich , S. Conti

According to time-dependent density functional theory, the exact exchange-correlation kernel f$_{xc}$(n, q, $\omega$) determines not only the ground-state energy but also the excited-state energies/lifetimes and time-dependent linear…

Chemical Physics · Physics 2020-07-01 Adrienn Ruzsinszky , Niraj K. Nepal , J. M. Pitarke , John P. Perdew

We show that the exact exchange-correlation potential of time-dependent density-functional theory displays dynamical step structures that have a spatially non-local and time non-local dependence on the density. Using one-dimensional…

Chemical Physics · Physics 2015-06-12 Peter Elliott , Johanna I. Fuks , Angel Rubio , Neepa T. Maitra

We explicitly build a generalized local-density approximation (GLDA) correlation functional based on one-dimensional (1D) uniform electron gases (UEGs). The fundamental parameters of the GLDA \textemdash a generalization of the widely-known…

Chemical Physics · Physics 2015-08-12 Pierre-François Loos

Exact exchange contributions are known to crucially affect electronic states, which in turn govern covalent bond formation and breaking in chemical species. Empirically averaging the exact exchange admixture over compositional degrees of…

We present a new density-functional method of the self-consistent electronic-structure calculation which does not exploit any local density approximations (LDA). We use the exchange-correlation energy which consists of the exact exchange…

Statistical Mechanics · Physics 2009-10-30 Takao Kotani

Previously, it has been shown that the direct correlation function for a Lennard-Jones fluid could be modeled by a sum of that for hard-spheres, a mean-field tail and a simple linear correction in the core region constructed so as to…

Statistical Mechanics · Physics 2008-08-20 James F. Lutsko

A review of the approximations in any time-dependent density functional calculation of excitation energies is given. The single-pole approximation for the susceptibility is used to understand errors in popular approximations for the…

Materials Science · Physics 2007-05-23 Kieron Burke , Martin Petersilka , E. K. U. Gross

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

We introduce a new form of density functional theory for the {\em ab initio} description of electronic systems in contact with a molecular liquid environment. This theory rigorously joins an electron density-functional for the electrons of…

Soft Condensed Matter · Physics 2009-11-11 Sahak Petrosyan , Jean-Francois Briere , David Roundy , T. A. Arias

Successful modern generalized gradient approximations (GGA) are biased toward atomic energies. Restoration of the first-principles gradient expansion for the exchange energy over a wide range of density gradients eliminates this bias. We…

The dynamical, long-wavelength longitudinal and transverse exchange-correlation potentials for a homogeneous electron gas are evaluated in a microscopic model based on an approximate decoupling of the equation of motion for the…

Condensed Matter · Physics 2009-10-30 S. Conti , R. Nifosi' , M P Tosi