The phase diagram of a bilayer Ising model

E. Sloutskin and M. Gitterman

Physica A: Statistical Mechanics and its Applications, 2007, vol. 376, issue C, 337-350

Abstract: The phase diagram of a quasi-2D two-layer Ising lattice, with a variable inter-layer interaction parameter, is determined by phenomenological order-disorder, mean-field (MF), and simplified renormalization group (RG) approaches. Bethe approximation is used to determine phase diagrams of bond-diluted bilayer lattices, exhibiting non-trivial behavior in the presence of short-range correlations between the bonds. The critical behavior is discussed and the problem is shown to belong to the 2D-Ising universality class, for any given value of the inter-layer interaction. The phase diagram is verified by comparison to earlier results, obtained by computer simulations, perturbation series expansion, Bethe-tree approximation and other methods.

Keywords: Ising; Bilayer; Double layer; Surface (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:376:y:2007:i:c:p:337-350

DOI: 10.1016/j.physa.2006.10.078

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