A class of Heisenberg models with the orthogonal dimer ground states

Abstract

Extensions of the Shastry-Sutherland model are possible in various ways. In particular, it is possible to construct a natural model in three dimensions which has the exact dimer ground state. Recently found spin gap system SrCu_2(BO_3)_2 has this structure. The exchange constants between the layers is expected to be smaller than the intra-layer couplings. However, the exactness of the dimer state for the three dimensional structure is important to understand why magnetic properties of SrCu_2(BO_3)_2 are described well by the two dimensional model.

3 pages, 5 figures, to appear in Journal of Physics: Condensed Matter

References in corpus (1)

• Competition between plaquette and dimer phases in Heisenberg chains

Cited by in corpus (10)

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• Weyl-triplons in SrCu2(BO3)2
• Tensor network study of the Shastry-Sutherland model with weak interlayer coupling
• Ferromagnetic Haldane state and dimer multiplet state of quantum ferromagnets
• Exact ground state and kink-like excitations of a two dimensional Heisenberg antiferromagnet
• Exact ground state of a frustrated integer-spin modified Shastry-Sutherland model
• Exact plaquette singlet phases in an orthogonal-plaquette model