Static dielectric response of the electron gas

Bowen, Charles E.; Sugiyama, G.; Alder, B. J.

doi:10.1103/physrevb.50.14838

Cited by 108 publications

(98 citation statements)

References 24 publications

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“…Most of the earlier works including the recent ones [3,5,17] dealt with the calculation of G P (q). We also note that our result for G P (q) agrees closely with the fixed-node diffusion QMC calculations by Bowen et al [18] and Moroni et al [19] (cf. also Table III).…”

Section: Introductionsupporting

confidence: 79%

Static Local Field Factor and Ground State Properties of Interacting Electron Gas

Sarkar¹,

Haldar²,

Roy

et al. 2004

Acta Phys. Pol. A

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In the most general case, the calculation of the static local field factor G(q) for the unpolarised electron gas requires the knowledge of exchange--correlation energy functionals for both the parallel and antiparallel relative spin orientations of the electron gas system. Accurate density interpolation formulae using the quantum Monte Carlo data of Ceperley-Alder for the correlation energy of electron gas in both the "para" and "ferro" states, respectively, in the given density range are used for the calculation of G(q). Fulfilment of relevant consistency criteria is ensured and the local field factor so obtained renders significant improvement of ab initio pseudopotential calculation of effective interaction of Al. The Levin like interpolant of the correlation energy Ceperley-Alder data has been further used to study the ground state properties of the electron gas. It is also noted that a better understanding of the interacting electron gas properties requires a more accurate spin interpolation formula for the correlation energy than the existing ones.

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Section: Introductionsupporting

confidence: 79%

Static Local Field Factor and Ground State Properties of Interacting Electron Gas

Sarkar¹,

Haldar²,

Roy

et al. 2004

Acta Phys. Pol. A

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“…(21) reproduces correctly the static response for all q ≤ 2 q F . 22 We have calculated static density correlation functions from Eqs. (16) and (17), with use of the LDA static xc kernel of Eq.…”

mentioning

confidence: 99%

Nonlinear interaction of charged particles with a free electron gas beyond the random-phase approximation

Río‐Gaztelurrutia¹,

Pitarke

2000

Phys. Rev. B

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A nonlinear description of the interaction of charged particles penetrating a solid has become of basic importance in the interpretation of a variety of physical phenomena. Here we develop a manybody theoretical approach to the quadratic decay rate, energy loss, and wake potential of charged particles moving in an interacting free electron gas. Explicit expressions for these quantities are obtained either within the random-phase approximation (RPA) or with full inclusion of short-range exchange and correlation effects. The Z 3 1 correction to the energy loss of ions is evaluated beyond RPA, in the limit of low velocities.When charged particles pass through a solid, energy can be lost to the medium through various types of elastic and inelastic collision processes. 1 While at relativistic velocities radiative losses may become important, for moving charged particles in the non-relativistic regime the energy loss is primarily due to electron-electron (e-e) interactions giving rise to the generation of electron-hole pairs, collective excitations such as plasmons, and innershell excitations and ionizations. Energy losses due to nuclear recoil are negligible, unless the projectile velocity is very small compared to the mean speed of electrons in the solid. 2 The inelastic decay rate of charged particles in a degenerate interacting free electron gas (FEG) has been calculated for many years in the first-Born approximation or, equivalently, within linear-response theory. This is a good approximation when the velocity of the projectile is much greater than the average velocity of target electrons. However, in the case of projectiles moving with smaller velocities, nonlinearities have been shown to play a key role in the interpretation of a variety of experiments. Energy-loss measurements have revealed differences, not present within linear-response theory, between the energy loss of protons and antiprotons. 3,4 Moreover, experimentally observed coherent double-plasmon excitations 5,6 cannot be described within linear-response theory, and nonlinearities may also play an important role in the electronic wake generated by moving ions in a FEG. 7 Pioneering nonlinear calculations of the electronic energy loss of low-energy ions in an electron gas were performed by Echenique et al . 8 These authors computed the scattering cross section for a statically screened potential, which was determined self-consistently using densityfunctional theory (DFT). 9 These static-screening calculations have recently been extended to velocities approaching the Fermi velocity. 10 Second-order perturbative calculations, which do not have the limitation of being restricted to low projectile velocities, have been reported by different authors with use of the random-phase approximation (RPA) and by treating the moving charged particle as a prescribed source of energy and momentum. [11][12][13][14][15] In this paper, we report a many-body theoretical approach to the quadratic decay rate, energy loss, and wake potential of charged particles moving in ...

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“…A toy example of Imf = sin (aω)/(ω 2 − 4π 2 /a 2 ) and the corresponding real part obtained from the Kramers Kronig relation (22) shows that indeed (37) can hold simultaneously with the Kramers Kronig relation.…”

Section: A Dynamical Local Fieldmentioning

confidence: 99%

“…Recent improvements of the response function are basically due to numerical studies of Monte Carlo [22][23][24][25] or molecular dynamical simulations 26,6 . An interesting first principle numerical scheme is to solve the time dependent Kadanoff and Baym equations including an external field 27 .…”

Section: Introductionmentioning

confidence: 99%

“…It will provide a recipe how to construct a quasiparticle picture by the knowledge of the structure factor at small distances from experiments or simulations 26,22,6 . This in turn leads to an easy microscopic parameterization in terms of the effective mass and quasiparticle energy shift which could be compared directly to microscopic theories.…”

Section: Introductionmentioning

confidence: 99%

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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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Static dielectric response of the electron gas

Cited by 108 publications

References 24 publications

Static Local Field Factor and Ground State Properties of Interacting Electron Gas

Static Local Field Factor and Ground State Properties of Interacting Electron Gas

Nonlinear interaction of charged particles with a free electron gas beyond the random-phase approximation

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

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