Phase transitions of the mixed spin-1/2 and spin-1 Ising-Heisenberg model on
several decorated planar lattices consisting of interconnected diamonds are
investigated within the framework of the generalized decoration-iteration
transformation. The main attention is paid to the systematic study of the
finite-temperature phase diagrams in dependence on the lattice topology. The
critical behaviour of the hybrid quantum-classical Ising-Heisenberg model is
compared with the relevant behaviour of its semi-classical Ising analogue. It
is shown that both models on diamond-like decorated planar lattices exhibit a
striking critical behaviour including reentrant phase transitions. The higher
the lattice coordination number is, the more pronounced reentrance may be
detected.Comment: 11 pages, 5 figure