Abstract
The dielectric function of a uniform electron gas is studied on the basis of the dynamical equations which govern the response of the system to a weak external field. The deviations from the random-phase approximation caused by exchange and correlation effects are incorporated in a local-field correction which is related to the response of a certain two-particle correlation function. Using the equation of motion for the correlation function we extract the exact behavior of the local-field correction for large wave vectors or high frequencies. The high-frequency result is identical to the one obtained from the third frequency moment. For large wave vectors we find that the local-field correction tends to $\frac{2[1\ensuremath{-}g(0)]}{3}$, $g(0)$ being the value of the pair distribution function at $r=0$. We also recover the result of Kimball, giving a relation between the pair distribution function and its radial derivative at $r=0$.
Keywords
PhysicsWave vectorDistribution functionLocal fieldCorrelation function (quantum field theory)Field (mathematics)Wave functionElectronRandom phase approximationFunction (biology)Moment (physics)Distribution (mathematics)Quantum mechanicsQuantum electrodynamicsClassical mechanicsDielectricMathematical analysisCondensed matter physicsMathematics
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Publication Info
- Year
- 1974
- Type
- article
- Volume
- 10
- Issue
- 8
- Pages
- 3052-3061
- Citations
- 188
- Access
- Closed
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Cite This
Göran Niklasson
(1974).
Dielectric function of the uniform electron gas for large frequencies or wave vectors.
Physical review. B, Solid state
, 10
(8)
, 3052-3061.
https://doi.org/10.1103/physrevb.10.3052
Identifiers
- DOI
- 10.1103/physrevb.10.3052