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Related papers: Approximations to the exact exchange potential: KL…

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Quasi-two-dimensional (2D) systems, such as an electron gas confined in a quantum well, are important model systems for many-body theories. Earlier studies of the crossover from 3D to 2D in ground-state density-functional theory showed that…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Shahrzad Karimi , Carsten A. Ullrich

We use fully self-consistent GW calculations on diamond and silicon carbide to reparametrize the Heyd-Scuseria-Ernzerhof exact exchange density functional for use in band structure calculations of semiconductors and insulators. We show that…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 V. Zólyomi , J. Kürti

We study the accuracy of Kohn-Sham density functional theory (DFT) for warm- and hot-dense matter (WDM and HDM). Specifically, considering a wide range of systems, we perform accurate ab initio molecular dynamics simulations with…

Computational Physics · Physics 2024-11-21 Phanish Suryanarayana , Arpit Bhardwaj , Xin Jing , Shashikant Kumar , John E. Pask

The accuracy of effective masses predicted by density functional theory depends on the exchange-correlation functional employed, with nonlocal hybrid functionals giving more accurate results than semilocal functionals. In this article, we…

Materials Science · Physics 2022-08-03 Magdalena Laurien , Oleg Rubel

For large-scale computation of the exchange coupling constants $J_{ij}$, we reconstruct the Liechtenstein formula for localized orbital representation and simplify the energy integrations by adopting the finite pole approximation of the…

Materials Science · Physics 2020-01-08 Asako Terasawa , Munehisa Matsumoto , Taisuke Ozaki , Yoshihiro Gohda

Kinetic energy (KE) approximations are key elements in orbital-free density functional theory. To date, the use of non-local functionals, possibly employing system dependent parameters, has been considered mandatory in order to obtain…

Materials Science · Physics 2018-07-25 L. A. Constantin , E. Fabiano , F. Della Sala

The approximate atomic self-interaction corrections (ASIC) method to density functional theory is put to the test by calculating the exchange interaction for a number of prototypical materials, critical to local exchange and correlation…

Materials Science · Physics 2009-11-13 A. Akande , S. Sanvito

Certain excitations, especially ones of long-range charge transfer character, are poorly described by time-dependent density functional theory (TDDFT) when typical (semi-)local functionals are used. A proper description of these excitations…

Chemical Physics · Physics 2018-08-01 J. Garhammer , F. Hofmann , R. Armiento , S. Kümmel

The design of better exchange-correlation functionals for Density Functional Theory (DFT) is a central challenge of modern electronic structure theory. However, current developments are limited by the mathematical form of the functional,…

Chemical Physics · Physics 2024-08-19 Kyle Bystrom , Boris Kozinsky

Density Functional Theory's Kohn-Sham (KS) potential emerges as the minimizing effective potential in an unconstrained variational scheme that does not involve fixing the unknown single-electron density. The physical content behind the…

Other Condensed Matter · Physics 2007-05-23 N. I. Gidopoulos

The recently proposed density functional theory for steady-state transport (i-DFT) is extended to include temperature gradients between the leads. Within this framework, a general and exact expression is derived for the linear Seebeck…

Strongly Correlated Electrons · Physics 2019-12-04 Nahual Sobrino , Roberto D'Agosta , Stefan Kurth

In this paper, we study a few theoretical issues in the discretized Kohn-Sham (KS) density functional theory (DFT). The equivalence between either a local or global minimizer of the KS total energy minimization problem and the solution to…

Computational Physics · Physics 2014-02-21 Xin Liu , Zaiwen Wen , Xiao Wang , Michael Ulbrich , Yaxiang Yuan

Local density approximation for the exchange energy is made for treatment of excited-states in density-functional theory. It is shown that taking care of the state-dependence of the LDA exchange energy functional leads to accurate…

Other Condensed Matter · Physics 2007-05-23 Manoj K. Harbola , Prasanjit Samal

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

While the exact total energy of a separated open system varies linearly as a function of average electron number between adjacent integers, the energy predicted by semi-local density functional approximations curves upward and the…

We provide a rigorous derivation of a class of double-hybrid approximations, combining Hartree-Fock exchange and second-order Moller-Plesset correlation with a semilocal exchange-correlation density functional. These double-hybrid…

Chemical Physics · Physics 2011-02-21 Kamal Sharkas , Julien Toulouse , Andreas Savin

In the context of the modified Becke-Johnson (mBJ) potential, we recently underlined that $\bar{g}$, the average of $\left\vert\nabla\rho\right\vert/\rho$ in the unit cell, has markedly different values in transition-metal oxides and pure…

Materials Science · Physics 2022-01-04 Leila Kalantari , Fabien Tran , Peter Blaha

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 derivative discontinuity in the exact exchange-correlation potential of ensemble Density Functional Theory (DFT) is investigated at the specific integer number that corresponds to the maximum number of bound electrons, $J_{max}$. A…

Quantum Physics · Physics 2011-11-09 Daniel L. Whitenack , Yu Zhang , Adam Wasserman

Using Kohn-Sham density functional theory (KS-DFT), we have studied the interaction between various polyaromatic hydrocarbon molecules. The systems range from mono-cyclic benzene up to hexabenzocoronene (hbc). For several conventional…

Soft Condensed Matter · Physics 2008-07-09 O. Anatole von Lilienfeld , Denis Andrienko