Extremal properties of the Harris-Foulkes functional and an improved screening calculation for the electron gas

Farid, Behnam; Heine, Volker; Engel, G.; Robertson, Iain

doi:10.1103/physrevb.48.11602

Cited by 258 publications

(261 citation statements)

References 71 publications

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“…(17) and Eq. (20). Also, the RPA dispersion relation is shown, with 1 − V (k) χ (0) (k, ω(k)) = 0 for k < k 0 and the position of the maximum of Im χ RPA ee (k, ω) for k > k 0 .…”

Section: B Results For the Extended Mermin Approachmentioning

confidence: 99%

“…Here, it is impossible to give an exhaustive review. Instead, we concentrate to the widely-used expression of Ichimaru and Utsumi [19] and its extension by Farid et al [20]. For an overview of other approximations, see Ref.…”

Section: Local Field Corrections For An Interacting Electron Gasmentioning

confidence: 99%

“…Approximations: Hubbard [18], Born [22], STLS [23], Utsumi and Ichimaru [19], Farid et al [20], Moroni et al [24].…”

Section: Figmentioning

confidence: 99%

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Influence of local-field corrections on Thomson scattering in collision-dominated two-component plasmas

2010

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Thomson scattering in non-ideal (collision-dominated) two-component plasmas is calculated accounting for electron-ion collisions as well as electron-electron correlations. This is achieved by using a novel interpolation scheme for the electron-electron response function generalizing the traditional Mermin approach. Also, ions are treated as randomly distributed inert scattering centers. The collision frequency is taken as a dynamic and complex quantity and is calculated from a microscopic quantum-statistical approach. Implications due to different approximations for the electron-electron correlation, i.e. different forms of the OCP local field correction, are discussed.

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“…(17) and Eq. (20). Also, the RPA dispersion relation is shown, with 1 − V (k) χ (0) (k, ω(k)) = 0 for k < k 0 and the position of the maximum of Im χ RPA ee (k, ω) for k > k 0 .…”

Section: B Results For the Extended Mermin Approachmentioning

confidence: 99%

Section: Local Field Corrections For An Interacting Electron Gasmentioning

confidence: 99%

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Influence of local-field corrections on Thomson scattering in collision-dominated two-component plasmas

2010

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“…[38] From previously examined results looking at the effects of supercell size (on the [0001] direction), [39] it was seen that the difference between three and seven atomic layers separating the stacking faults (I1, I2 and EF) is less than 3%. The deformation electron density, [16] ρ, is calculated using the Harris-Foulkes functional, [40,41] also known as the reference state in the independent atom model. The isosurface and the contour plots of the charge density are generated using VESTA.…”

mentioning

confidence: 99%

Effects of Alloying Elements on Stacking Fault Energies and Electronic Structures of Binary Mg Alloys: A First-Principles Study

Wang

Shang

Wang

et al. 2013

Materials Research Letters

102

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“…This establishes the link to time dependent density functional theories [48][49][50] . A overview about different approximation schemes are given in 51 .…”

Section: B Connection To Density Functionalsmentioning

confidence: 99%

Dynamical local field, compressibility, and frequency sum rules for quasiparticles

Morawetz

2002

Phys. Rev. B

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The finite temperature dynamical response function including the dynamical local field is derived within a quasiparticle picture for interacting one-, two-and three dimensional Fermi systems. The correlations are assumed to be given by a density dependent effective mass, quasiparticle energy shift and relaxation time. The latter one describes disorder or collisional effects. This parameterization of correlations includes local density functionals as a special case and is therefore applicable for density functional theories. With a single static local field, the third order frequency sum rule can be fulfilled simultaneously with the compressibility sum rule by relating the effective mass and quasiparticle energy shift to the structure function or pair correlation function. Consequently, solely local density functionals without taking into account effective masses cannot fulfill both sum rules simultaneously with a static local field. The comparison to the Monte-Carlo data seems to support such quasiparticle picture. 05.30.Fk,21.60.Ev, 24.30.Cz, 24.60.Ky

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Extremal properties of the Harris-Foulkes functional and an improved screening calculation for the electron gas

Cited by 258 publications

References 71 publications

Influence of local-field corrections on Thomson scattering in collision-dominated two-component plasmas

Influence of local-field corrections on Thomson scattering in collision-dominated two-component plasmas

Effects of Alloying Elements on Stacking Fault Energies and Electronic Structures of Binary Mg Alloys: A First-Principles Study

Dynamical local field, compressibility, and frequency sum rules for quasiparticles

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