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Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice
par - 1er décembre 2008
The Shastry-Sutherland lattice and its realization in the material SrCu2(BO3)2 have been attracting a lot of attention due to its fascinating behavior in a magnetic field, namely that magnetization plateaux have experimentally been observed for values of 1/8, 1/4 and 1/3 of the saturation value.
Because of the lack of powerful numerical techniques or unbiased analytical tools to tackle 2D frustrated systems, a promising approach consists in deriving an effective hardcore bosonic model.
In this Letter, we use the nonperturbative Contractor Renormalization (CORE) technique in order to derive an effective model for the polarized triplets. Then, in order to provide an unbiased analysis of this model, we solve it exactly on various clusters and by finite-size scaling analysis, we predict the existence or not of some plateaux in the thermodynamical limit.
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. 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.
- Shastry-Sutherland lattice and its experimental realization
(figure taken from Hiroshi Kageyama, Kyoto, Japan)
Post-scriptum :
For more details, see the original paper Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice, by A. Abendschein and S. Capponi in Phys. Rev. Lett. 101, 227201 (2008)
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