Erratum: Dynamical exchange-correlation potentials for an electron liquid [Phys. Rev. B<b>65</b>, 235121 (2002)]

Qian, Zhe; Vignale, Giovanni

doi:10.1103/physrevb.71.169904

Cited by 47 publications

(86 citation statements)

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“…Within this theory, in the absence of spin polarization, all the many-body effects beyond the RPA can be expressed in terms of the two functions G + ͑q , ͒ and G − ͑q , ͒, respectively, accounting for density and spin fluctuations. To date, in view of a lack of knowledge of their frequency dependence, 1,53,54 it has been a common practice to approximate these quantities with their static limit. The latter is, on the other hand, approximately known only for the two-dimensional case.…”

Section: Discussionmentioning

confidence: 99%

Many-body local fields theory of quasiparticle properties in a three-dimensional electron liquid

Simion

Giuliani

2008

Phys. Rev. B

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We present a quantitative study of the quasiparticle properties of a three-dimensional electron Fermi liquid. Our approach is based on the theory of the many-body local field factors which we use to include vertex corrections associated with charge and spin fluctuations. Extensive use is made of the results of recent quantum Monte Carlo calculations. Several models for the wave-vector dependence of the spin-antisymmetric manybody local field factor G − , for which no numerical results are currently available, are discussed and compared. Both the real and imaginary parts of the self-energy as well as the quasiparticle renormalization constant and the enhancement of the effective mass are calculated in the experimentally accessible range of electron densities. The results obtained by means of the on-shell approximation are critically compared with those given by a self-consistent solution of the Dyson equation. An ultraviolet catastrophe in the Coulomb-hole part of the self-energy is identified and a satisfactory resolution of this impasse is presented. The same many-body local field factors are also used to obtain the Landau interaction function. This allows us to obtain both the spin susceptibility and the proper compressibility of the system.

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Section: Discussionmentioning

confidence: 99%

Many-body local fields theory of quasiparticle properties in a three-dimensional electron liquid

Simion

Giuliani

2008

Phys. Rev. B

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“…͑10͒ gives a finite value, because the gradient of the ground-state density n 0 ͑r͒ of an isolated atom is not zero and ‫ץ‬ Imf XC,L h ͑n , ͒ / ‫ץ‬ ͉ =0 is negative. 19 Thus LDA to the scalar f xc yields a finite friction coefficient even in the absence of the electron gas, indicating an obvious flaw of the approximation. Table I …”

Section: ͑10͒mentioning

confidence: 99%

Including nonlocality in the exchange-correlation kernel from time-dependent current density functional theory: Application to the stopping power of electron liquids

et al. 2007

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We develop a scheme for building the scalar exchange-correlation ͑XC͒ kernel of time-dependent density functional theory ͑TDDFT͒ from the tensorial kernel of time-dependent current density functional theory ͑TDCDFT͒ and the Kohn-Sham current density response function. Resorting to the local approximation to the kernel of TDCDFT results in a nonlocal approximation to the kernel of TDDFT, which is free of the contradictions that plague the standard local density approximation ͑LDA͒ to TDDFT. As an application of this general scheme, we calculate the dynamical XC contribution to the stopping power of electron liquids for slow ions to find that our results are in considerably better agreement with experiment than those obtained using TDDFT in the conventional LDA.

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“…29,[39][40][41][42][43][44][45][46] Those studies are mainly motivated by the construction of the exchange-correlation kernel f xc (r, r ′ ; ω) in the timedependent density functional theory (TDDFT) and thus they are concerned with either G + (q, iω) or G R + (q, ω), but not with G s (q, iω). So far a parametrization form for G s (q, iω) is given only by RA 28 , proposing…”

Section: Dynamical Local-field Factormentioning

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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Erratum: Dynamical exchange-correlation potentials for an electron liquid [Phys. Rev. B65, 235121 (2002)]

Abstract: The value of xc = 0.00851 at r s = 5 in Table I is erroneous. The correct value is xc = 0.00869.We acknowledge M. van Faassen for pointing out the error.

Cited by 47 publications

References 0 publications

Many-body local fields theory of quasiparticle properties in a three-dimensional electron liquid

Many-body local fields theory of quasiparticle properties in a three-dimensional electron liquid

Including nonlocality in the exchange-correlation kernel from time-dependent current density functional theory: Application to the stopping power of electron liquids

Emergence of an excitonic collective mode in the dilute electron gas

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