J. Dorantesdavila et al., SELF-CONSISTENT THEORY OF OVERLAP INTERACTIONS IN THE TIGHT-BINDING METHOD, Physical review. B, Condensed matter, 47(19), 1993, pp. 12995-12998
A local approach to overlap interactions in the tight-binding (TB) met
hod is presented. The effects of overlap and local atomic environment
on the orthogonalized interaction parameters axe determined from a set
of coupled linear equations. The accuracy of the method is demonstrat
ed by calculations on transition metals and semiconductors having peri
odic and complex structures. This theory combines efficiently the simp
licity of the orthogonal TB method with the transferability of the non
orthogonal approach, and is thus particularly useful for the study of
complex systems.