Condensed Matter Physics, 2012, vol. 15, No. 4, p. 43003:1-10
DOI:10.5488/CMP.15.43003           arXiv:1212.6032

Title: Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices
  J. Strečka (Department of Theoretical Physics and Astrophysics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovak Republic) ,
  C. Ekiz (Department of Physics, Faculty of Science, Adnan Menderes University, 090 10 Aydín, Turkey)

The spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe lattices is exactly solved in the presence of the longitudinal magnetic field by combining the decoration-iteration mapping transformation with the method of exact recursion relations. In particular, the ground state and low-temperature magnetization process of the ferrimagnetic version of the considered model is investigated in detail. Three different magnetization scenarios with up to two consecutive fractional magnetization plateaus were found, whereas the intermediate magnetization plateau may either correspond to the classical ferrimagnetic spin arrangement and/or the field-induced quantum ferrimagnetic spin ordering without any classical counterpart.

Key words: Ising-Heisenberg model, Bethe lattice, exact results, magnetization plateau
PACS: 05.50.+q, 75.10.-b, 75.10.Jm, 75.10.Kt 75.40.Cx, 75.60.Ej

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