Theory of magnetization plateaux in the Shastry-Sutherland model

Abstract

Using perturbative continuous unitary transformations, we determine the long-range interactions between triplets in the Shastry-Sutherland model, and we show that an unexpected structure develops at low magnetization with plateaux progressively appearing at 2/9, 1/6, 1/9 and 2/15 upon increasing the inter-dimer coupling. A critical comparison with previous approaches is included. Implications for the compound SrCu${}_2$(BO${}_3$)${}_2$ are also discussed: we reproduce the magnetization profile around localized triplets revealed by NMR, we predict the presence of a 1/6 plateau, and we suggest that residual interactions beyond the Shastry-Sutherland model are responsible for the other plateaux below 1/3.

5 pages, 6 figures

References in corpus (6)

• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• Supersolid phase induced by correlated hopping in spin-1/2 frustrated quantum magnets
• Field dependence of the quantum ground state in the Shastry-Sutherland system SrCu${}_2$(BO${}_3$)${}_2$
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• NMR evidence for the persistence of spin-superlattice above the 1/8 magnetization plateau in SrCu2(BO3)2
• First-principles investigation of symmetric and antisymmetric exchange interactions of SrCu${}_2$(BO${}_3$)${}_2$

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