Magnetization plateaus of the Shastry-Sutherland model for SrCu_2(BO_3)_2: SDW, supersolid and bound states

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Abstract
We studied the Heisenberg antiferromagnet on Shastry-Sutherland lattice under magnetic fields, to clarify the magnetic properties of SrCu_2(BO_3)_2. Treating magnetic excitations promoted by the field as Bose particles and using strong coupling expansion, we derived an effective Hamiltonian for the effective magnetic particles. Anisotropic repulsive interactions between effective particles induce `insulating' states with a stripe SDW structure at magnetization m/m_{sat}=1/3 and a checkerboard structure at 1/2, and thereby form magnetization plateaus. We also demonstrate how a unique geometry of the Shastry-Sutherland lattice affects dynamical property and makes a novel type of quintuplet (S=2) boundstates condense for very small magnetization.

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