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We introduce the idea of emergent lattices, where a simple lattice decouplesinto two weakly-coupled lattices as a way to stabilize spin liquids. InLiZn2Mo3O8, the disappearance of 2/3rds of the spins at low temperaturessuggests that its triangular lattice decouples into an emergent honeycomblattice weakly coupled to the remaining spins, and we suggest several ways totest this proposal. We show that these orphan spins act to stabilize thespin-liquid in the $J_1-J_2$ honeycomb model and also discuss a possible 3Danalogue, Ba2MoYO6 that may form a "depleted fcc lattice."

Emergent honeycomb lattice in LiZn2Mo3O8