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Magnetization plateaus in the Shastry-Sutherland model for ${\rmSrCu_2(BO_3)_2}$ are studied by the perturbation expansion method. Thefourth-order effective Hamiltonian which describes the dynamics of tripletdimers (TD's) with $S^{\rm tot}_z=1$ in the singlet sea is derived and thenpartially diagonalized for the space that consists of the TD configurationswith the lowest second-order energy. The fourth-order terms are treated withina low-density approximation. Our procedure makes clear how TD interactions areresponsible for the formation of magnetization plateaus. Particularly, the1/4-plateau is obtained by the fourth-neighbor TD repulsion in the fourth-orderperturbation, and a diagonal stripe arrangement of TD's appears at thisplateau.Comment: 8 pages, 12 figure

journal of the physical society of japan

Magnetization Plateaus in the Shastry-Sutherland Model for SrCu2(BO3)2: Results of Fourth-Order Perturbation Expansion with a Low-Density Approximation