  We study the effect of interactions on the properties of a model 2D
topological Kondo insulator phase. Loosely motivated by recent proposals where
graphene is hybridized with impurity bands from heavy adatoms with partially
filled d-shells, we introduce a model Hamiltonian which we believe captures the
essential physics of the different competing phases. We show that there are
generically three possible phases with different combinations of Kondo
screening and magnetic order. Perhaps the most dramatic example of many-body
physics in symmetry protected topological phases is the existence of the exotic
edge states. We demonstrate that our mean field model contains a region with a
time-reversal invariant bulk phase but where TR symmetry is spontaneously
broken at the edge. Such a phase would not be possible in a non-interacting
model. We also comment on the stability of this phase beyond mean field theory.
