Effective theory of magnetization plateaux in the Shastry-Sutherland lattice.
We use the nonperturbative Contractor-Renormalization method (CORE) in order to derive an effective model for triplet excitations on the Shastry-Sutherland lattice. For strong enough magnetic fields, various magnetization plateaux are observed, e.g., at 1/8, 1/4, 1/3 of the saturation, as found experimentally in a related compound. Moreover, other stable plateaux are found at 1/9, 1/6, or 2/9. We give a critical review of previous works and try to resolve some apparent inconsistencies between various theoretical approaches.
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Laboratoire de Physique Théorique, Université de Toulouse, UPS, IRSAMC, F-31062 Toulouse, France.
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