Path-integral analysis of the exchange-correlation energy and potential in density-functional theory: Unpolarized systems
- 15 September 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 54 (11) , 7765-7770
- https://doi.org/10.1103/physrevb.54.7765
Abstract
The present work is a demonstration of how the exchange and correlation in density-functional theory can be studied using path-integral techniques. Compact and formally exact expressions for the exchange-correlation functional and potential are derived in terms of the functional integrals. The local density approximation is obtained in the limit of slowly varying density. A perturbative analysis of the exchange-correlation energy and potential via the semiclassical expansion of the effective action is presented. © 1996 The American Physical Society.Keywords
This publication has 8 references indexed in Scilit:
- An expression for the correlation energy of an electron gasPhysics Letters A, 1994
- Accurate optimized-potential-model solutions for spherical spin-polarized atoms: Evidence for limitations of the exchange-only local spin-density and generalized-gradient approximationsPhysical Review A, 1993
- Density Functional TheoryPublished by Springer Nature ,1990
- The density functional formalism, its applications and prospectsReviews of Modern Physics, 1989
- Accurate Exchange-Correlation Potential for Silicon and Its Discontinuity on Addition of an ElectronPhysical Review Letters, 1986
- Exchange and correlation in density-functional theoryPhysical Review B, 1985
- Functional evaluation of the effective potentialPhysical Review D, 1974
- Self-Consistent Equations Including Exchange and Correlation EffectsPhysical Review B, 1965