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Fractional magnetization plateaus in the extended Ising model on the Shastry–Sutherland lattice: Application to rare‐earth metal tetraborides
Author(s) -
Čenčariková Hana,
Farkašovský Pavol
Publication year - 2015
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201451225
Subject(s) - magnetization , ising model , condensed matter physics , antiferromagnetism , ferromagnetism , phase diagram , physics , plateau (mathematics) , lattice (music) , saturation (graph theory) , phase (matter) , quantum mechanics , mathematics , magnetic field , mathematical analysis , combinatorics , acoustics
The classical Monte Carlo method is used to examine possibilities of formation of magnetization plateaus in the extended Ising model with the first ( J 1 ) , second ( J 2 ) , third ( J 3 ) , and fourth ( J 4 ) nearest‐neighbour spin couplings on the Shastry–Sutherland lattice. It is shown that in the limit of ferromagnetic J 4 interaction the combined effects of J 3 and J 4 lead to the stabilization of the m / m s = 1 / 2 magnetization plateau against the standard m / m s = 1 / 3 Ising plateau (where m s is the saturation magnetization). At some critical values of J 3 and J 4 interactions the m / m s = 1 / 3 plateau phase is fully removed from the ground‐state phase diagram providing a possible explanation of the fact that in some rare‐earth tetraborides this phase is present and in some completely absent. In the opposite limit of antiferromagnetic J 4 interaction the model provides a reach spectrum of magnetic solutions, where in addition to the standard m / m s = 1 / 3 magnetization plateau one can find the following sequence of plateaus with the fractional magnetization: m / m s =1/10, 1/9, 1/6, 1/5, 2/5, 4/9, 7/15, and 5/9. The results obtained are consistent with experimental measurements of magnetization curves in selected rare‐earth tetraborides.