Abstract
This work is a generalization of the Hohenberg---Kohn---Sham theory of the inhomogeneous electron gas, with emphasis on spin effects. An argument based on quantum electrodynamics is used to express the ground-state energy of a system of interacting electrons as a functional of the current density. Expressions are derived for coefficients appearing in an expansion of the correlation functional in terms of the linear-response functions of the homogeneous system, for a gas of almost constant four-current density. The current density contains a spin-dependent term which leads, in the nonrelativistic limit, to a local potential which is also spin dependent. This potential is applied to the problems of spin splitting of energy bands in ferromagnets and spin-density-wave antiferromagnets. The relations between the present approach, that of Slater, and the collective electron theory of ferromagnetism of Stoner are described.
Keywords
PhysicsFermi gasElectronSpin (aerodynamics)FerromagnetismQuantum mechanicsCondensed matter physicsQuantum electrodynamicsGround stateSlater determinantDensity functional theoryAtomic orbital
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Publication Info
- Year
- 1973
- Type
- article
- Volume
- 7
- Issue
- 5
- Pages
- 1912-1919
- Citations
- 801
- Access
- Closed
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Cite This
A. K. Rajagopal,
J. Callaway
(1973).
Inhomogeneous Electron Gas.
Physical review. B, Solid state
, 7
(5)
, 1912-1919.
https://doi.org/10.1103/physrevb.7.1912
Identifiers
- DOI
- 10.1103/physrevb.7.1912