Using the silicon two-centre Slater-Koster parameters and

PHYSICS · Subjective · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Free electrons, energy bands and electronic structure · Free electrons, energy bands and electronic structure

Solid State Physics, Ch Tight binding and the band structures of real materials

Problem

Using the silicon two-centre Slater-Koster parameters Vppσ=2.72 eVV_{pp\sigma}=2.72\,\mathrm{eV} and Vppπ=−0.72 eVV_{pp\pi}=-0.72\,\mathrm{eV}, compute the hopping integral Ex,yE_{x,y} between a pxp_x orbital on one silicon atom and a pyp_y orbital on its neighbour, for a bond lying along the [110][110] direction.

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