  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.
