Abstract
Applying the projector augmented-wave (PAW) method to relativistic spin-density functional theory (RSDFT) we derive PAW Dirac-Kohn-Sham equations for four-component spinor pseudo-wave-functions. The PAW freedom to add a vanishing operator inside the PAW spheres allows us to transform these PAW Dirac-type equations into PAW Pauli-type equations for two-component spinor pseudo-wave-functions. With these wave functions, we get the frozen-core energy as well as the charge and magnetization densities of RSDFT, with errors comparable to the largest between $1/{c}^{2}$ and the transferability error of the PAW data sets. Presently, the latter limits the accuracy of the calculations, not the use of the Pauli-type equations. The theory is validated by applications to isolated atoms of Fe, Pt, and Au, and to the band structure of fcc-Pt, fcc-Au, and ferromagnetic bcc-Fe.
Keywords
SpinorPhysicsProjectorWave functionPauli exclusion principleDirac equationDirac (video compression format)Spin (aerodynamics)Type (biology)Density functional theoryQuantum mechanicsMathematical physics
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Publication Info
- Year
- 2010
- Type
- article
- Volume
- 82
- Issue
- 7
- Citations
- 104
- Access
- Closed
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Cite This
Andrea Dal Corso
(2010).
Projector augmented-wave method: Application to relativistic spin-density functional theory.
Physical Review B
, 82
(7)
.
https://doi.org/10.1103/physrevb.82.075116
Identifiers
- DOI
- 10.1103/physrevb.82.075116