A 3D deformation of the pyrochlore lattice is shown to have an exact dimer-singlet ground state for J2 >= 2 in the quantum spin-1/2 model, with classical phase diagrams matching the 2D Shastry-Sutherland results.
Ground-State Phase Diagram for the Three-Dimensional Orthogonal-Dimer System
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abstract
We investigate quantum phase transitions in the three-dimensional orthogonal-dimer system of the compound $\rm SrCu_2(BO_3)_2$ by means of the series expansion technique. We then discuss the phase diagram where the dimer phase, the Haldane phase, the frustration-induced disordered phase and the magnetically ordered phase compete with each other. It is found that the compound $\rm SrCu_2(BO_3)_2$ is located in the dimer phase close to the phase boundary.
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Exact ground state on the 3D analogue of the Shastry-Sutherland model
A 3D deformation of the pyrochlore lattice is shown to have an exact dimer-singlet ground state for J2 >= 2 in the quantum spin-1/2 model, with classical phase diagrams matching the 2D Shastry-Sutherland results.