Condensed Matter Physics, 2011, vol. 14, No. 1, 13002: 1-11
DOI:10.5488/CMP.14.13002           arXiv:1106.4687

Title: Phase transitions of geometrically frustrated mixed spin-1/2 and spin-1 Ising-Heisenberg model on diamond-like decorated planar lattices
Author(s):
  Lucia Gálisová (Department of Applied Mathematics, Faculty of Mechanical Engineering, Technical University, Letná 9, 04200 Košice, Slovak Republic) ,
  Jozef Strečka (Department of Theoretical Physics and Astrophysics, Faculty of Science, P.J.Šafárik University, Park Angelinum 9, 04001 Kočice, Slovak Republic)

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.

Key words: Ising-Heisenberg model, decoration-iteration transformation, geometric frustration, reentrant phase transitions
PACS: 05.50.+q, 75.10.Hk, 75.10.Jm, 68.35.Rh
Comments: Figs. 5, Refs. 39


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