A question about slater-koster approximation

[anahita]

Dear forum people
in the Slater-Koster approximation interatomic matrix elements is a function of the cosine direction.
How to calculate cosine direction for silicene by sp2 hybrid.

 

[DrDu]

From what I understood, you are about to calculate the band structure of silicene in tight binding. I don't see why you have to use sp2 hybrids and don't simply work with the s, px and py orbitals.

 

[anahita]

From what I understood, you are about to calculate the band structure of silicene in tight binding. I don't see why you have to use sp2 hybrids and don't simply work with the s, px and py orbitals.

Hamiltonian formed in the basis {si,pxi,pyi,pzi,sj,pxj,pyj,pzj} so Hamiltonian matrix is 8*8.
matrix components are attached.