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Density-functional theory simplifies many-electron calculations by approximating the exchange and correlation interactions with a one-electron operator that is a functional of the density. Hybrid functionals incorporate some amount of exact…

Materials Science · Physics 2021-02-03 John Vinson

The spin density wave (SDW) state of the uniform electron gas is investigated in the exact exchange approximation of noncollinear spin density functional theory (DFT). Unlike in Hartree-Fock theory, where the uniform paramagnetic state of…

Materials Science · Physics 2009-09-29 S. Kurth , F. G. Eich

Electronic states with fractional spins arise in systems with large static correlation (strongly correlated systems). Such fractional-spin states are shown to be ensembles of degenerate ground states with normal spins. It is proven here…

Other Condensed Matter · Physics 2009-11-13 Aron J. Cohen , Paula Mori-Sánchez , Weitao Yang

We derive and analyse the equation of motion for the spin degrees of freedom within time-dependent spin-density-functional theory (TD-SDFT). Results are (i) a prescription for obtaining many-body corrections to the single-particle spin…

Materials Science · Physics 2009-11-07 K. Capelle , G. Vignale , B. L. Gyorffy

The exact ground-state exchange-correlation functional of Kohn-Sham density functional theory yields the exact transmission through an Anderson junction at zero bias and temperature. The exact impurity charge susceptibility is used to…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Zhenfei Liu , Justin P. Bergfield , Kieron Burke , Charles A. Stafford

The electronic structure of noble-gas solids is calculated within density functional theory's exact-exchange method (EXX) and compared with the results from the local-density approximation (LDA). It is shown that the EXX method does not…

Materials Science · Physics 2007-05-23 R. J. Magyar , A. Fleszar , E. K. U. Gross

A general formula for the orbital magnetic moment of interacting electrons in solids is derived using the many-electron Green function method. The formula factorizes into two parts, a part that contains the information about the…

Materials Science · Physics 2016-04-20 F. Aryasetiawan , K. Karlsson , T. Miyake

A recently proposed exchange-correlation functional (Dewhurst et al. 10.1021/acs.jctc.7b01049) with in density functional theory, which ensures that the exchange-correlation magnetic field is source-free, is shown to give non-zero internal…

Materials Science · Physics 2018-10-17 J. K. Dewhurst , A. Sanna , S. Sharma

Current-spin density functional theory (CSDFT) provides a framework to describe interacting many-electron systems in a magnetic field which couples to both spin- and orbital-degrees of freedom. Unlike in usual (spin-) density functional…

Materials Science · Physics 2015-06-25 S. Pittalis , S. Kurth , N. Helbig , E. K. U. Gross

In the presence of spin-orbit interactions, the steady state established for spin distributions in an electric field is qualitatively different from the steady state for charge distributions. This is primarily because the steady state…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dimitrie Culcer , Roland Winkler

In spin-density-functional theory (SDFT) for noncollinear magnetic materials, the Kohn-Sham system features exchange-correlation (xc) scalar potentials and magnetic fields. The significance of the xc magnetic fields is not very well…

Strongly Correlated Electrons · Physics 2023-03-29 Daniel Hill , Justin Shotton , Carsten A. Ullrich

Spin-dependent exchange-correlation energy functionals in use today depend on the charge density and the magnetization density: $E_{\rm xc}[\rho,{\bf m}]$. However, it is also correct to define the functional in terms of the curl of ${\bf…

Other Condensed Matter · Physics 2017-04-18 S. Sharma , E. K. U. Gross , A. Sanna , J. K. Dewhurst

We calculate the exact Kohn-Sham (KS) scalar and vector potentials that reproduce, within current-density functional theory, the steady-state density and current density corresponding to an electron quasiparticle added to the ground state…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 J. D. Ramsden , R. W. Godby

Starting from exact expression for the dynamical spin susceptibility in the time-dependent density functional theory a controversial issue about exchange interaction parameters and spin-wave excitation spectra of itinerant electron…

Materials Science · Physics 2009-11-10 M. I. Katsnelson , A. I. Lichtenstein

Spin-currents and non-abelian gauge potentials in electronic systems can be treated by spin-current-density functional theory, whose main input is the exchange-correlation (xc) energy expressed as a functional of spin-currents. Constructing…

Materials Science · Physics 2010-03-30 Saeed H. Abedinpour , G. Vignale , I. V. Tokatly

Octahedral Fe$^{2+}$ molecules are particularly interesting as they often exhibit a spin-crossover transition. In spite of the many efforts aimed at assessing the performances of density functional theory for such systems, an…

Materials Science · Physics 2015-06-05 A. Droghetti , D. Alfè , S. Sanvito

Standard approximations for the exchange-correlation functional have been found to give big errors for the linearity condition of fractional charges, leading to delocalization error, and the constancy condition of fractional spins, leading…

Strongly Correlated Electrons · Physics 2009-11-13 Paula Mori-Sanchez , Aron J. Cohen , Weitao Yang

Density functional theory is a standard model for condensed matter theory and computational material science. The accuracy of density functional theory is limited by accuracy of the employed approximation to the exchange-correlation…

Materials Science · Physics 2018-09-19 M. Ekholm , D. Gambino , H. J. M. Jönsson , F. Tasnádi , B. Alling , I. A. Abrikosov

A new class of orbital-dependent exchange-correlation (xc) potentials for applications in noncollinear spin-density-functional theory is developed. Starting from the optimized effective potential (OEP) formalism for the exact exchange…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Carsten A. Ullrich

In this review article, we survey the relatively new theory of orbital magnetization in solids-often referred to as the "modern theory of orbital magnetization"-and its applications. Surprisingly, while the calculation of the orbital…

Materials Science · Physics 2015-03-19 T. Thonhauser