Exact ground state of the generalized three-dimensional Shastry-Sutherland model

preprint2002arXivOpen access

Abstract

We generalize the Shastry-Sutherland model to three dimensions. By representing the model as a sum of the semidefinite positive projection operators, we exactly prove that the model has exact dimer ground state. Several schemes for constructing the three-dimensional Shastry-Sutherland model are proposed.

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