  We introduce the idea of emergent lattices, where a simple lattice decouples
into two weakly-coupled lattices as a way to stabilize spin liquids. In
LiZn2Mo3O8, the disappearance of 2/3rds of the spins at low temperatures
suggests that its triangular lattice decouples into an emergent honeycomb
lattice weakly coupled to the remaining spins, and we suggest several ways to
test this proposal. We show that these orphan spins act to stabilize the
spin-liquid in the $J_1-J_2$ honeycomb model and also discuss a possible 3D
analogue, Ba2MoYO6 that may form a "depleted fcc lattice."
