Correlation effects and the high-frequency spin susceptibility of an electron liquid: Exact limits
Abstract
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, <limop></limop>ω→∞G-(q,ω). In two dimensions <limop></limop>ω→∞G-(q,ω) 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/q2 in both two and three dimensions. These signal a failure of the local-density approximation, one that can be redressed by alternative approaches.
- Publication:
-
Physical Review B
- Pub Date:
- June 2003
- DOI:
- 10.1103/PhysRevB.67.233104
- arXiv:
- arXiv:cond-mat/0305195
- Bibcode:
- 2003PhRvB..67w3104A
- Keywords:
-
- 72.30.+q;
- 71.15.Mb;
- 71.45.Gm;
- 75.40.Gb;
- High-frequency effects;
- plasma effects;
- Density functional theory local density approximation gradient and other corrections;
- Exchange correlation dielectric and magnetic response functions plasmons;
- Dynamic properties;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 5 pages