%0 Journal Article %T Phase transitions of geometrically frustrated mixed spin-1/2 and spin-1 Ising-Heisenberg model on diamond-like decorated planar lattices %A L. G¨¢lisov¨¢ %A J. Stre£¿ka %J Condensed Matter Physics %D 2011 %I Institute for Condensed Matter Physics %X 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. %K Ising-Heisenberg model %K decoration-iteration transformation %K geometric frustration %K reentrant phase transitions %U http://dx.doi.org/10.5488/CMP.14.13002