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A large collaboration carefully benchmarks 20 first principles many-body electronic structure methods on a test set of 7 transition metal atoms, and their ions and monoxides. Good agreement is attained between the 3 systematically converged…

A novel approach to electronic correlations in magnetic crystals which takes into account a dynamical many-body effects is present. In order to to find a frequency dependence of the electron self energy, an effective quantum-impurity…

Strongly Correlated Electrons · Physics 2007-05-23 A. I. Lichtenstein , M. I. Katsnelson

We test local and semi-local density functionals for the electronic exchange for a variety of systems including atoms, molecules, and atomic chains. In particular, we focus on a recent universal extension of the Becke-Johnson exchange…

Materials Science · Physics 2010-11-01 Micael J. T. Oliveira , Esa Räsänen , Stefano Pittalis , Miguel A. L. Marques

We have used the stabilized spin-polarized jellium model to calculate the equilibrium sizes of metal clusters. Our self-consistent calculations in the local spin-density approximation show that for an $N$-electron cluster, the equilibrium…

Atomic and Molecular Clusters · Physics 2015-06-26 M. Payami

There are several approximations to the exchange-correlation functional in density-functional theory that accurately predict total energy-related properties of many-electron systems, such as binding energies, bond lengths, and crystal…

Chemical Physics · Physics 2015-09-30 Eli Kraisler , Tobias Schmidt , Stephan Kümmel , Leeor Kronik

We present a detailed study of the coupling-constant-averaged exchange-correlation hole density at a jellium surface, which we obtain in the random-phase approximation (RPA) of many-body theory. We report contour plots of the exchange-only…

Materials Science · Physics 2009-01-27 Lucian A. Constantin J. M. Pitarke

In this article we describe recent progress in the computational many-body theory of metal surfaces, and focus on current techniques beyond the local-density approximation of density-functional theory. We overview various applications to…

Materials Science · Physics 2009-10-31 M. Nekovee , J. M. Pitarke

A simple, practical model for computing the equilibrium thermodynamics and structure of jellium by classical strong coupling methods is proposed. An effective pair potential and coupling constant are introduced, incorporating the ideal gas,…

Statistical Mechanics · Physics 2016-11-04 Sandipan Dutta , James Dufty

A long-standing puzzle in density-functional theory is the issue of the long-range behavior of the Kohn-Sham exchange-correlation potential at metal surfaces. As an important step towards its solution, it is proved here, through a rigurouos…

Materials Science · Physics 2015-05-18 C. M. Horowitz , C. R. Proetto , J. M. Pitarke

In this work, we have used the exchange-only optimized effective potential in the self-consistent calculations of the density functional Kohn-Sham equations for simple metal clusters in stabilized jellium model with self-compression. The…

Atomic and Molecular Clusters · Physics 2009-11-11 M. Payami

Many methods for computing electronic correlation effects at finite temperature are related to many-body perturbation theory in the grand-canonical ensemble. In most applications, however, the average number of electrons is known rather…

Materials Science · Physics 2022-10-21 Felix Hummel

The exact-exchange (EXX) potential, which is obtained by solving the optimized-effective potential (OEP) equation, is compared to various approximate semilocal exchange potentials for a set of selected solids (C, Si, BN, MgO, Cu$_{2}$O, and…

Strongly Correlated Electrons · Physics 2016-08-07 Fabien Tran , Markus Betzinger , Peter Blaha , Stefan Blügel

Electron-electron correlation forms the basis of difficulties encountered in many-body problems. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in this correlation. In an…

Quantum Physics · Physics 2022-03-24 Eric Ouma Jobunga

We consider electronic exchange and correlation effects in density-functional calculations of two-dimensional systems. Starting from wave function calculations of total energies and electron densities of inhomogeneous model systems, we…

Mesoscale and Nanoscale Physics · Physics 2012-05-30 Ilja Makkonen , Mikko M. Ervasti , Ville Kauppila , Ari Harju

We review recent progress in the study of transport properties of interacting electrons subject to a disordered potential which is strong enough to localize all single-particle states. This review may also serve as a guide to the recent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. M. Basko , I. L. Aleiner , B. L. Altshuler

A functional $E_{xc}[\rho(\r,\epsilon)]$ is presented, in which the exchange and correlation energy of an electron gas depends on the local density of occupied states. A simple local parametrization scheme is proposed, entirely from first…

Materials Science · Physics 2009-11-10 Jose M. Soler

Employing a local formula for the electron-electron interaction energy, we derive a self-consistent approximation for the total energy of a general $N$-electron system. Our scheme works as a local variant of the Thomas-Fermi approximation…

Chemical Physics · Physics 2013-10-31 E. Rasanen , A. Odriazola , I. Makkonen , A. Harju

It is shown that the equation of motion of the one-particle Green function of an interacting many-electron system is governed by a multiplicative time-dependent exchange-correlation potential, which is the Coulomb potential of a…

Strongly Correlated Electrons · Physics 2022-02-16 Ferdi Aryasetiawan

The flexibility of common generalized gradient approximation for the exchange-correlation energy is investigated by monitoring the equilibrium volume of transition metals. It is shown that no universal gradient-level approximation yielding…

Materials Science · Physics 2015-06-05 H. Levämäki , L. Vitos , M. P. J. Punkkinen , K. Kokko

The formulation of a suitable nonlocal model potential for electron exchange is presented, checked with electron-hydrogen and electron-helium scattering, and applied to the study of elastic and inelastic scattering and ionization of ortho…

Atomic and Molecular Clusters · Physics 2016-09-08 P. K. Biswas , Sadhan K. Adhikari
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