  To gain further insight into the properties of interacting topological
insulators, we study a 1 dimensional model of topological Kondo insulators
which can be regarded as the strongly interacting limit of the Tamm-Shockley
model. Treating the model in a large $N$ expansion, we find a number of
competing ground-state solutions, including topological insulating and valence
bond ground-states. One of the effects to emerge in our treatment is a
reconstruction of the Kondo screening process near the boundary of the material
("Kondo band bending"). Near the boundary for localization into a valence bond
state, we find that the conduction character of the edge state grows
substantially, leading to states that extend deeply into bulk. We speculate
that such states are the one-dimensional analog of the light f-electron surface
states which appear to develop in the putative topological Kondo insulator,
SmB6.
