On the calculation of surface states for (111) faces of diamond lattices

Abstract

Within the framework of the Heine-Jones model, the matching at (111) faces of diamond lattices is carefully analysed and shown to be feasible at every point of the boundary plane. The resulting secular equation for surface states allows one to generalize the existence theorems of Shockley and Forstmann and gives two nondegenerate surface states at the point J, in sharp contrast with previous calculations.