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Phase transitions of the mixed spin-1/2 and spin-S Ising model on a three-dimensional decorated lattice with a layered structure

Author

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  • Strečka, Jozef
  • Dely, Ján
  • Čanová, Lucia

Abstract

Phase transitions of the mixed spin- 1/2 and spin-S (S≥1/2) Ising model on a three-dimensional (3D) decorated lattice with a layered magnetic structure are investigated within the framework of a precise mapping relationship to the simple spin- 1/2 Ising model on a tetragonal lattice. This mapping correspondence yields for the layered Ising model of mixed spins plausible results either by adopting the conjectured solution for the spin- 1/2 Ising model on the orthorhombic lattice [Z.-D. Zhang, Philos. Mag. 87 (2007) 5309–5419] or by performing extensive Monte Carlo simulations for the corresponding spin- 1/2 Ising model on the tetragonal lattice. It is shown that the critical behaviour markedly depends on a relative strength of axial zero-field splitting parameter, inter- and intra-layer interactions. The striking spontaneous order captured to the ‘quasi-1D’ spin system is found in a restricted region of interaction parameters, where the zero-field splitting parameter forces all integer-valued decorating spins towards their ‘non-magnetic’ spin state.

Suggested Citation

  • Strečka, Jozef & Dely, Ján & Čanová, Lucia, 2009. "Phase transitions of the mixed spin-1/2 and spin-S Ising model on a three-dimensional decorated lattice with a layered structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2394-2402.
  • Handle: RePEc:eee:phsmap:v:388:y:2009:i:12:p:2394-2402
    DOI: 10.1016/j.physa.2009.03.006
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