Correlation effects on the third-frequency-moment sum rule of electron liquids

Naoki Iwamoto; E. K. U. Gross

doi:10.1103/PhysRevB.35.3003

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Correlation effects on the third-frequency-moment sum rule of electron liquids

Naoki Iwamoto

E. K. U. Gross

Department of Physics and McDonnell Center for the Space Sciences, Washington University, St. Louis, Missouri 63130, and Department of Physics and Astronomy, The University of Toledo, Toledo, Ohio 43606

Department of Physics, University of California, Santa Barbara, California 93106

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Phys. Rev. B 35, 3003 – Published 15 February, 1987

DOI: https://doi.org/10.1103/PhysRevB.35.3003

Abstract

The exact form of the third-frequency-moment sum rule is used to obtain the long-wavelength limit of the dynamic local-field correction of electron liquids within the formalism of Gross and Kohn. The effects of correlation modify the high-frequency behavior of the local-field correction typically by a factor 2–3 at metallic densities.

References (6)

E. K. U. Gross and W. Kohn, Phys. Rev. Lett. 55, 2850 (1985); ibid. 57, 923(E) (1986).
S. Ichimaru, Rev. Mod. Phys. 54, 1017 (1982), Eq. (3.38).
In evaluating the < $ω^{3}$ > sum rule, we use, as in Ref. 1, the analytic formula for the correlation energy due to S. H. Vosko, L. Wilk, and M. Nusair [Can. J. Phys. 58, 1200 (1980)] which interpolates the values from the Monte Carlo calculations by D. M. Cerperley and B. J. Alder [Phys. Rev. Lett. 45, 566 (1980)].
R. D. Puff, Phys. Rev. 137, A406 (1965); N. Mihara and R. D. Puff. ibid. 174, 221 (1968).
N. Iwamoto, E. Krotscheck and D. Pines, Phys. Rev. B 29, 3936 (1984).
A. Zangwill and P. Soven, Phys. Rev. A 21, 1561 (1980).

[c1] E. K. U. Gross and W. Kohn, Phys. Rev. Lett. 55, 2850 (1985); ibid. 57, 923(E) (1986).

[c2] S. Ichimaru, Rev. Mod. Phys. 54, 1017 (1982), Eq. (3.38).

[c3] In evaluating the < $ω^{3}$ > sum rule, we use, as in Ref. 1, the analytic formula for the correlation energy due to S. H. Vosko, L. Wilk, and M. Nusair [Can. J. Phys. 58, 1200 (1980)] which interpolates the values from the Monte Carlo calculations by D. M. Cerperley and B. J. Alder [Phys. Rev. Lett. 45, 566 (1980)].

[c4] R. D. Puff, Phys. Rev. 137, A406 (1965); N. Mihara and R. D. Puff. ibid. 174, 221 (1968).

[c5] N. Iwamoto, E. Krotscheck and D. Pines, Phys. Rev. B 29, 3936 (1984).

[c6] A. Zangwill and P. Soven, Phys. Rev. A 21, 1561 (1980).

Physical Review B

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Correlation effects on the third-frequency-moment sum rule of electron liquids

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References (6)

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