### Abstract

The self-consistent full-potential total-energy Korringa-Kohn-Rostoker electronic-structure method is generalized to include all relativistic effects. The Dirac equation for a general anisotropic 4×4 potential is solved inside Voronoi polyhedra surrounding each basis atom. As an illustration, the method is used to calculate the self-consistent electronic band structure, the Fermi surface, the equilibrium lattice constant and the bulk modulus of the fee transition metals Pd, Ir, Pt, and Au. If the cutoff of the multipole expansions of the wave functions is at least /_{max}=4, the calculated equilibrium lattice constants of the transition metals deviate from experiment by less than 1%, and the calculated bulk moduli deviate between 6% and 20%, which is comparable to results of other local-density calculations. In addition, the method is used to calculate the self-consistent electronic band structure of the semiconductors GaAs, InSb, and InN, and the equilibrium lattice constant and the bulk modulus of InSb. We find that the inclusion of both spin-orbit coupling and full-potential effects influences the size of the valence-band-width and the band gap in comparison with scalar relativistic local-density calculations. Interestingly, if after self-consistency has been achieved in scalar relativistic calculations, spin-orbit coupling is taken into account by the so-called second variation, the energy bands are found to agree very well with the results obtained here with the full relativistic treatment.

Original language | English |
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Pages (from-to) | 11187-11198 |

Number of pages | 12 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 54 |

Issue number | 16 |

Publication status | Published - Oct 15 1996 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*54*(16), 11187-11198.

**Self-consistent relativistic full-potential Korringa-Kohn-Rostoker total-energy method and applications.** / Bei Der Kellen, S.; Freeman, Arthur J.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 54, no. 16, pp. 11187-11198.

}

TY - JOUR

T1 - Self-consistent relativistic full-potential Korringa-Kohn-Rostoker total-energy method and applications

AU - Bei Der Kellen, S.

AU - Freeman, Arthur J

PY - 1996/10/15

Y1 - 1996/10/15

N2 - The self-consistent full-potential total-energy Korringa-Kohn-Rostoker electronic-structure method is generalized to include all relativistic effects. The Dirac equation for a general anisotropic 4×4 potential is solved inside Voronoi polyhedra surrounding each basis atom. As an illustration, the method is used to calculate the self-consistent electronic band structure, the Fermi surface, the equilibrium lattice constant and the bulk modulus of the fee transition metals Pd, Ir, Pt, and Au. If the cutoff of the multipole expansions of the wave functions is at least /max=4, the calculated equilibrium lattice constants of the transition metals deviate from experiment by less than 1%, and the calculated bulk moduli deviate between 6% and 20%, which is comparable to results of other local-density calculations. In addition, the method is used to calculate the self-consistent electronic band structure of the semiconductors GaAs, InSb, and InN, and the equilibrium lattice constant and the bulk modulus of InSb. We find that the inclusion of both spin-orbit coupling and full-potential effects influences the size of the valence-band-width and the band gap in comparison with scalar relativistic local-density calculations. Interestingly, if after self-consistency has been achieved in scalar relativistic calculations, spin-orbit coupling is taken into account by the so-called second variation, the energy bands are found to agree very well with the results obtained here with the full relativistic treatment.

AB - The self-consistent full-potential total-energy Korringa-Kohn-Rostoker electronic-structure method is generalized to include all relativistic effects. The Dirac equation for a general anisotropic 4×4 potential is solved inside Voronoi polyhedra surrounding each basis atom. As an illustration, the method is used to calculate the self-consistent electronic band structure, the Fermi surface, the equilibrium lattice constant and the bulk modulus of the fee transition metals Pd, Ir, Pt, and Au. If the cutoff of the multipole expansions of the wave functions is at least /max=4, the calculated equilibrium lattice constants of the transition metals deviate from experiment by less than 1%, and the calculated bulk moduli deviate between 6% and 20%, which is comparable to results of other local-density calculations. In addition, the method is used to calculate the self-consistent electronic band structure of the semiconductors GaAs, InSb, and InN, and the equilibrium lattice constant and the bulk modulus of InSb. We find that the inclusion of both spin-orbit coupling and full-potential effects influences the size of the valence-band-width and the band gap in comparison with scalar relativistic local-density calculations. Interestingly, if after self-consistency has been achieved in scalar relativistic calculations, spin-orbit coupling is taken into account by the so-called second variation, the energy bands are found to agree very well with the results obtained here with the full relativistic treatment.

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M3 - Article

VL - 54

SP - 11187

EP - 11198

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 16

ER -