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The spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe latticesis exactly solved in the presence of the longitudinal magnetic field bycombining the decoration-iteration mapping transformation with the method ofexact recursion relations. In particular, the ground state and low-temperaturemagnetization process of the ferrimagnetic version of the considered model isinvestigated in detail. Three different magnetization scenarios with up to twoconsecutive fractional magnetization plateaus were found, whereas theintermediate magnetization plateau may either correspond to the classicalferrimagnetic spin arrangement and/or the field-induced quantum ferrimagneticspin ordering without any classical counterpart.

Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices