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

H. Čenčarikováa, P. Farkašovskýa and P. Puchalab aInstitute of Experimental Physics SAS, Watsonova 47, 040 01 Košice, Slovakia bInstitute of Physics, Faculty of Sciences, P. J. Šafarik University, Park Angelinum 9, 041 54 Košice, Slovakia

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The ground-state phase diagram of the Ising model on the Shastry-Sutherland lattice with the first (J1), second (J2), third (J3) and fourth (J4) nearest neighbour spin couplings is studied using the exact and well controlled numerical method. It is shown that switching on of the J3 and J4 interactions (in addition to usually considered J1 and J2 interactions) leads to stabilization of the following dominant magnetic phases with m/ms=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/ms. The obtained results are consistent with experimental measurements of magnetization curves in selected rare-earth tetraborides.

DOI: 10.12693/APhysPolA.126.46 PACS numbers: 75.10.-b, 75.60.Ej, 75.40.Mg