SP3D5S* Model

Basis

20-band model adding five d orbitals per atom to the SP3S* basis:

IndexAnionCation
1, 11$s$$s$
2-4, 12-14$p_x, p_y, p_z$$p_x, p_y, p_z$
5-9, 15-19$d_{xy}, d_{yz}, d_{zx}, d_{x^2-y^2}, d_{3z^2-r^2}$$d_{xy}, \ldots$
10, 20$s^*$$s^*$

Parameters

Uses an extended parameter set with additional Slater-Koster integrals:

  • d on-site energies
  • s-d, p-d, and d-d hopping integrals

Available Parameter Sources

SourceMaterials
Jancu1998Si, Ge, C, Sn, SiC, GaAs, GaP, GaSb, AlAs, AlP, AlSb, InAs, InP, InSb, ZnSe, ZnTe

Key Feature

The d orbitals provide improved accuracy for the full Brillouin zone, particularly for higher conduction bands.

Reference

  • J.-M. Jancu, R. Scholz, F. Beltram, F. Bassani, "Empirical spds* tight-binding calculation for cubic semiconductors: General method and material parameters," Phys. Rev. B 57, 6493 (1998). DOI:10.1103/PhysRevB.57.6493