SP3S* Model

Basis

10-band model adding an excited s* orbital to the SP3 basis:

IndexAnionCation
1, 6$s$$s$
2, 7$p_x$$p_x$
3, 8$p_y$$p_y$
4, 9$p_z$$p_z$
5, 10$s^*$$s^*$

Parameters

Uses SP3SstarParams with 16 parameters, adding:

  • On-site energies: Es* for each atom
  • Hopping integrals: Vs*p and Vps*

Available Parameter Sources

SourceMaterials
Vogl1983Si, Ge, C, Sn, SiC, GaAs, GaP, GaSb, AlAs, AlP, AlSb, InAs, InP, InSb, ZnSe, ZnTe
Klimeck2000GaAs, GaP, GaSb, AlAs, AlP, AlSb, InAs, InP, InSb

Key Feature

The excited s* orbital corrects the conduction band at the X point, enabling correct prediction of indirect band gaps in Si and Ge. This is the model introduced by Vogl, Hjalmarson, and Dow (1983).

Reference

  • P. Vogl, H.P. Hjalmarson, J.D. Dow, "A semi-empirical tight-binding theory of the electronic structure of semiconductors," J. Phys. Chem. Solids 44, 365-378 (1983). DOI:10.1016/0022-3697(83)90064-1