Tight-binding calculations, using a two-dimensional model of the graphite lattice, lead to a point of contact of valence and conduction bands at the corner of the reduced Brillouin zone. A perturbation calculation which starts with wave functions of the two-dimensional lattice and is applied to the three-dimensional lattice is described. Some general features of the structure of the bands in the neighborhood of the zone edge are obtained and are expressed in terms of appropriate parameters.
J. C. Slonczewski (1958) studied this question.