A new formalism for electron states at surfaces II. application to surface states

Abstract

The formalism of the previous paper is applied to calculate surface states on two very simple models of a solid, in order to show the type of Green functions needed in practical applications of the theory. The first model is that of Shockley states in the gap of a nearly-free-electron band structure in one dimension. In the second model a band of surface states is split off from a single band in three dimensions.