Self-consistent full-potential total-energy Korringa-Kohn-Rostoker band-structure method

Application to silicon

S. Bei Der Kellen, Yoonsik Oh, E. Badralexe, Arthur J Freeman

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

The self-consistent full-potential total-energy Korringa-Kohn-Rostoker (KKR) coupled channel equation method for full-potential electronic band-structure determinations is applied to the case of silicon. For efficiency, the coupled channel equations are partially decoupled by using the point group symmetry of each basis atom, and solved on a linear radial mesh by using the Coulomb functions close to the singularity of the potential at the origin. In the KKR energy search, Chebyshev approximations for the scattering matrices as functions of energy save solving the coupled channel equations at many different energies. The results include the self-consistent anisotropic potential, the charge density, the energy band structure, the equilibrium lattice constant, and the bulk modulus. As expected, the energy bands agree well with results from other band-structure methods. We find that the cutoff of the spherical multipole expansion of potential and charge density must be chosen independently of the cutoff for the scattering matrices that determines the dimension of the secular matrix. In the case of silicon, we find that an lmax of 8 is sufficient for the potential and charge density, while the scattering matrices need at least lmax=6. The equilibrium lattice constant converges to the experimental value with increasing lmax and the bulk modulus converges to 96 GPa at lmax=6.

Original languageEnglish
Pages (from-to)9560-9568
Number of pages9
JournalPhysical Review B
Volume51
Issue number15
DOIs
Publication statusPublished - 1995

Fingerprint

Silicon
Band structure
Charge density
silicon
S matrix theory
Scattering
Lattice constants
bulk modulus
Elastic moduli
energy bands
Chebyshev approximation
energy
Point groups
cut-off
Crystal symmetry
multipoles
mesh
Atoms
expansion
symmetry

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Self-consistent full-potential total-energy Korringa-Kohn-Rostoker band-structure method : Application to silicon. / Bei Der Kellen, S.; Oh, Yoonsik; Badralexe, E.; Freeman, Arthur J.

In: Physical Review B, Vol. 51, No. 15, 1995, p. 9560-9568.

Research output: Contribution to journalArticle

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