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A note on the momentum distribution function for an electron gas

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  • Yasuhara, H.
  • Kawazoe, Y.

Abstract

The one-electron momentum distribution function 〈akσ†akσ〉 for an electron gas is investigated by a diagrammatic analysis of perturbation theory. It is shown that 〈akσ†akσ〉 has the following exact asymptotic form for large k (k ⪢ pF; pF, the Fermi momentum): 〈akσ†akσ〉 = 49(αrsπ)2×(pF8k8) g⇅(0) + ⋯, where g⇅(0) is the zero-distance value of the spin-up-spin-down pair correlation function. The physical implications of the above asymptotic form are discussed.

Suggested Citation

  • Yasuhara, H. & Kawazoe, Y., 1976. "A note on the momentum distribution function for an electron gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(2), pages 416-424.
  • Handle: RePEc:eee:phsmap:v:85:y:1976:i:2:p:416-424
    DOI: 10.1016/0378-4371(76)90060-1
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    Cited by:

    1. Alexander Larkin & Vladimir Filinov & Pavel Levashov, 2022. "Momentum Distribution Functions and Pair Correlation Functions of Unpolarized Uniform Electron Gas in Warm Dense Matter Regime," Mathematics, MDPI, vol. 10(13), pages 1-19, June.
    2. Sekania, Michael & Appelt, Wilhelm H. & Benea, Diana & Ebert, Hubert & Vollhardt, Dieter & Chioncel, Liviu, 2018. "Scaling behavior of the Compton profile of alkali metals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 489(C), pages 18-27.

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