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Exact spontaneous plaquette ground states for high-spin ladder models
We study the exchange physics in high-spin Mott insulating systems with $S=3∕2$ which is realizable in ultracold atomic systems. The high symmetry of $\mathit{SO}(5)$ or $\mathit{SU}(4)$ therein renders stronger quantum fluctuations than the usual spin-$1∕2$ systems. A spontaneous plaquette ground state without any site and bond spin orders is rigorously …