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Journal ArticleDOI

Spin correlations in an electron liquid at metallic densities

H. B. Singh, +1 more
- 01 Oct 1974 - 
- Vol. 10, Iss: 7, pp 2764-2770
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TLDR
A nonlinear integral equation for the ground-state magnetic structure factor S ~ (k) of an electron liquid has been obtained by using a method originally due to Mihara and Puff.
Abstract
A nonlinear integral equation for the ground-state magnetic structure factor S ~ (k) of an electron liquid has been obtained by using a method originally due to Mihara and Puff. This equation is solved self-consistently to get the values of S ~ (k) which are used to estimate the pair correlation functions of electrons with parallel and antiparallel spins. The results obtained compare favorably with that of earlier sophisticated calculations.

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Journal ArticleDOI

Correlation effects and the high-frequency spin susceptibility of an electron liquid: Exact limits

TL;DR: In this paper, the third-moment sum rule is used to derive exact limiting forms (at both long and short wavelengths) for the spin-antisymmetric local field factor, limω→∞G-(q,ω).
Journal ArticleDOI

Bloch wave effects in the density response function

TL;DR: In this paper, the effect of the lattice on the density response function of an electron gas is considered, based upon summing an infinite subset of gradient terms in the density functional theory of the exchange and correlation energy of the electrons.
Journal ArticleDOI

The exchange and correlation energy of a spin-polarised electron gas

TL;DR: In this paper, the perturbation expansion of this energy for a paramagnetic electron gas is considered and the two relevant kernels can be expressed exactly in terms of the density and magnetisation dependence of the pair functions for the inhomogeneous gas.
Journal ArticleDOI

Sum rules and electron correlations in two-dimensional electron liquid

TL;DR: In this article, the low order frequency moment sum rules of the density response function for quantum 2-dimensional electron liquid are given, and an integral equation for the static structure factor is solved self-consistently for different electron densities.
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