Magnetization plateaus of SrCu_2(BO_3)_2 from a Chern-Simons theory

Abstract

The antiferromagnetic Heisenberg model on the frustrated Shastry-Sutherland lattice is studied by a mapping onto spinless fermions carrying one quantum of statistical flux. Using a mean-field approximation these fermions populate the bands of a generalized Hofstadter problem. Their filling leads to the magnetization curve. For SrCu_2(BO_3)_2 we reproduce plateaus at 1/3 and 1/4 of the saturation moment and predict a new one at 1/2. Gaussian fluctuations are shown to be massive at these plateau values.

4 pages, 5 figures

References in corpus (3)

• Quantum Phases of the Shastry-Sutherland Antiferromagnet
• Low-Lying Magnetic Excitation of the Shastry-Sutherland Model
• Field theory for generalized Shastry-Sutherland models

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