Electron-electron interaction in simple metals

Kukkonen, Carl A.; Overhauser, A. W.

doi:10.1103/physrevb.20.550

Cited by 177 publications

(133 citation statements)

References 7 publications

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“…Therefore, to get a more realistic screening picture, within the paradigm of linear response and locality of XC corrections, the many-body localfield factors G ↑↑ ͑q͒ and G ↑↓ ͑q͒ are introduced. 15 The factor G ↑↑ ͑q͒ mainly accounts for the Pauli principle effect, while G ↑↓ ͑q͒ is responsible for taking into account the Coulomb correlation between antiparallel spin electrons. As a rule, these factors are tabulated and parametrized by using quantum Monte Carlo ͑QMC͒ calculations for the homogeneous electron gas.…”

Section: Local-field Correctionsmentioning

confidence: 99%

Theoretical study of quasiparticle inelastic lifetimes as applied to aluminum

et al. 2008

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We present a comparative analysis of different microscopic approaches to quasiparticle properties in metals. Aluminum is chosen as an application object, since it exhibits characteristics many of which are well-described in the jellium model. Within this model, we consider how different levels of physical elaboration of the electron-electron interaction affect the imaginary part of the quasiparticle self-energy and the quasiparticle renormalization constant. Also, we present ab initio calculations of the quasiparticle lifetime in crystalline aluminum with the use of both the linear muffin-tin orbital method and the plane-wave pseudopotential theory. To complete the picture of inelastic scattering effects in aluminum, we report first-principles calculations on electron-phonon interaction and on the phonon mediated contribution to the lifetime. The total inelastic lifetime broadening is compared with experimental data known from the literature.

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Section: Local-field Correctionsmentioning

confidence: 99%

Theoretical study of quasiparticle inelastic lifetimes as applied to aluminum

et al. 2008

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“…28 This factor is different from the conventinal local-field factor G + (q, iω), 18 with which Π(q, iω) is expressed in another way as…”

Section: Introductionmentioning

confidence: 99%

“…13 This anomaly for r s > r c s brings about the curious behavior of the ion-ion pair correlation function in expanded liquid alkali metals, [14][15][16] but it does not induce any instabilities in the electron gas itself, as long as 1/κ changes continuously from positive to negative through the point of 1/κ = 0, 17 because the electron-electron effective interaction is not determined only by the dielectric function ε(q, iω) = 1+V (q)Π(q, iω) with V (q) = 4πe 2 /(Ω t q 2 ) the bare Coulomb interaction, 18 excluding the occurrence of CDW-type instabilities at r s = r c s . 19 By analyzing ε R (q, ω)[= ε(q, ω +i0 + )] the retarded dielectric function as r s approaches r c s from the positive side of κ (or r s < r c s ), we identify the physical origin of this divergence of κ as the "enhanced excitonic effect" or the effect of strong electron-hole attraction in an electron-hole single-pair excitation.…”

Section: Introductionmentioning

confidence: 99%

Emergence of an excitonic collective mode in the dilute electron gas

Takada

2016

Phys. Rev. B

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By comparing two expressions for the polarization function Π(q, iω) given in terms of two different local-field factors, G+(q, iω) and Gs(q, iω), we have derived the kinetic-energy-fluctuation (or sixthpower) sum rule for the momentum distribution function n(p) in the three-dimensional electron gas. With use of this sum rule, together with the total-number (or second-power) and the kinetic-energy (or fourth-power) sum rules, we have obtained n(p) in the low-density electron gas at negative compressibility (namely, rs > 5.25 with rs being the conventional density parameter) up to rs ≈ 22 by improving on the interpolation scheme due to Gori-Giorge and Ziesche proposed in 2002. The obtained results for n(p) combined with the improved form for Gs(q, ω + i0 + ) are employed to calculate the dynamical structure factor S(q, ω) to reveal that a giant peak, even bigger than the plasmon peak, originating from an excitonic collective mode made of electron-hole pair excitations, emerges in the low-ω region at |q| near 2pF (pF: the Fermi wave number). Connected with this mode, we have discovered a singular point in the retarded dielectric function at ω = 0 and |q| ≈ 2pF.

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“…To calculate the quasi-particle (QP) properties, we start with the calculation of the retarded self-energy, which can be decomposed in the usual way into the frequency-independent Hartree-Fock and frequency-dependent correlation parts [15,17]. The correlation part of the self-energy involves the effective QP interaction between the electrons for which we use the Kukkonen-Overhauser form [15,26]. The main ingredient of this formalism is the screening dielectric function…”

Section: Theorymentioning

confidence: 99%

Quasi-particle properties in a quasi-two-dimensional electron liquid

Asgari

Tanatar

2008

Pramana - J Phys

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Abstract.We consider the quasi-particle properties such as the effective mass and spin susceptibility of quasi-two-dimensional electron systems. The finite quantum well width effects are incorporated into the local-field factors that describe the charge and spin correlations. We employ the Fermi-hypernetted chain formalism in conjunction with fluctuationdissipation theorem to obtain the local-field factors. Our results are in good agreement with recent experiments.

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Electron-electron interaction in simple metals

Cited by 177 publications

References 7 publications

Theoretical study of quasiparticle inelastic lifetimes as applied to aluminum

Theoretical study of quasiparticle inelastic lifetimes as applied to aluminum

Emergence of an excitonic collective mode in the dilute electron gas

Quasi-particle properties in a quasi-two-dimensional electron liquid

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