Correlation effects and the high-frequency spin susceptibility of an electron liquid: Exact limits | |
Article | |
关键词: DENSITY-FUNCTIONAL THEORY; METALLIC DENSITIES; LINEAR-RESPONSE; WAVE VECTORS; EXCHANGE; GAS; FLUCTUATION; | |
DOI : 10.1103/PhysRevB.67.233104 | |
来源: SCIE |
【 摘 要 】
Spin correlations in an interacting electron liquid are studied in the high-frequency limit and in both two and three dimensions. The third-moment sum rule is evaluated and is used to derive exact limiting forms (at both long and short wavelengths) for the spin-antisymmetric local-field factor, lim(omega-->infinity)G(-)(q,omega). In two dimensions lim(omega-->infinity)G(-)(q,omega) is found to diverge as 1/q at long wavelengths, and the spin-antisymmetric exchange-correlation kernel of time-dependent spin density functional theory diverges as 1/q(2) in both two and three dimensions. These signal a failure of the local-density approximation, one that can be redressed by alternative approaches.
【 授权许可】
Free