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

Jozef Strečka, Ján Dely and Lucia Čanová

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 12, 2394-2402

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.

Keywords: Ising model; Decoration-iteration transformation; Monte Carlo simulations; Phase transitions (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:12:p:2394-2402

DOI: 10.1016/j.physa.2009.03.006

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