The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
A relativistic density functional formalism
Abstract
A relativistic generalisation of the Hohenberg-Kohn-Sham density functional formalism is presented. Single-particle equations, analogous to those suggested for the non-relativistic formalism are introduced. These equations may take two forms, one analogous to the Dirac-Slater and the other analogous to Dirac-Fock relativistic self-consistent field equations. The complicated relativistic many-body effects are included in the formalism via energy functionals analogous to the exchange-correlation functionals of the non-relativistic formalism. The local density approximation for these functionals is discussed and explicit expressions are given for relativistic corrections. The relation of these corrections to the Breit interaction is mentioned. The description of magnetic effects in the relativistic formalism is discussed briefly.
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Citations
Cites
Self-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135
Hohenberg, P., & Kohn, W. (1964) · Physical Review · doi:10.1103/physrev.136.b864 · Cited by 53,541
Roothaan-Hartree-Fock atomic wavefunctions
Clementi, E., & Roetti, C. (1974) · Atomic Data and Nuclear Data Tables · doi:10.1016/s0092-640x(74)80016-1 · Cited by 5,526
A local exchange-correlation potential for the spin polarized case. i
Barth, U. V., & Hedin, L. (1972) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/5/13/012 · Cited by 5,434
Exchange and correlation in atoms, molecules, and solids by the spin-density-functional formalism
Gunnarsson, O., & Lundqvist, B. I. (1976) · Physical Review B · doi:10.1103/physrevb.13.4274 · Cited by 3,665
Thermal Properties of the Inhomogeneous Electron Gas
Mermin, N. D. (1965) · Physical Review · doi:10.1103/physrev.137.a1441 · Cited by 2,782
Bjorken, J. D., Drell, S. D., & Kahn, P. B. (1966) · American Journal of Physics · doi:10.1119/1.1972989 · Cited by 2,548
The Effect of Retardation on the Interaction of Two Electrons
Breit, G. (1929) · Physical Review · doi:10.1103/physrev.34.553 · Cited by 860
Rajagopal, A. K., & Callaway, J. (1973) · Physical Review B · doi:10.1103/physrevb.7.1912 · Cited by 817
A relativistic many-body theory of high density matter
Chin, S. A. (1977) · Annals of Physics · doi:10.1016/0003-4916(77)90016-1 · Cited by 565
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Pseudopotentials that work: From H to Pu
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Fuchs, M., & Scheffler, M. (1999) · Computer Physics Communications · doi:10.1016/s0010-4655(98)00201-x · Cited by 1,424
Metadata
- Authors
- MacDonald, A. H., & Vosko, S. H.
- Venue
- Journal of Physics C: Solid State Physics
- Publisher
- IOP Publishing
- Published
- 1979-08-14
- Volume
- 12
- Issue
- 15
- Pages
- 2977-2990
- ISSN
- 0022-3719 (ISSN-L)
- OpenAlex
- W2004546742
- Cited by
- 560
- References
- 14
- FWCI
- 6.60
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
