  We study the structure of entanglement in a supersymmetric lattice model of
fermions on certain types of decorated graphs with quenched disorder. In
particular, we construct models with controllable ground state degeneracy
protected by supersymmetry and the choice of Hilbert space. We show that in
certain special limits these degenerate ground states are associated with local
impurities and that there exists a basis of the ground state manifold in which
every basis element satisfies a boundary law for entanglement entropy. On the
other hand, by considering incoherent mixtures or coherent superpositions of
these localized ground states, we can find regions that violate the boundary
law for entanglement entropy over a wide range of length scales. More
generally, we discuss various desiderata for constructing violations of the
boundary law for entanglement entropy and discuss possible relations of our
work to recent holographic studies.
