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Ground-State Phase Diagram of the Extended Ising Model on the Shastry-Sutherland Lattice

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Čenčariková H., Farkašovský P., Puchala P.
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vol. 126
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issue 1
46-47
EN
The ground-state phase diagram of the Ising model on the Shastry-Sutherland lattice with the first (J_1), second (J_2), third (J_3) and fourth (J_4) nearest neighbour spin couplings is studied using the exact and well controlled numerical method. It is shown that switching on of the J_3 and J_4 interactions (in addition to usually considered J_1 and J_2 interactions) leads to stabilization of the following dominant magnetic phases with m/m_s=1/9, 1/6, 4/9, 1/2 and 5/9, which is manifested in appearance of new magnetization plateaus on the magnetization curve of the model at given values of m/m_s. The obtained results are consistent with experimental measurements of magnetization curves in selected rare-earth tetraborides.
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