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Shift exponent and breakdown of universality for the two-layer Ising model on a square lattice

✍ Scribed by Tsuyoshi Horiguchi; Norihiro Tsushima

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
487 KB
Volume
238
Category
Article
ISSN
0378-4371

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✦ Synopsis

By using a fl-function for a spin -3 Ising model, we investigate the critical phenomena of a general two-layer Ising model of square lattice. We find that the value of the shift exponent ~b is 1.73 ~ 0.04 for the system with the same intra-layer interaction and 0.5 for the system with different intra-layer interactions. We also find an evidence that the value of critical exponent v exceeds 1 in some region of interaction-parameter space, where the degeneracy of the ground state is fourfold.

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The exact phase diagrams of spin-1 Ising
The exact phase diagrams of spin-1 Ising model on a two-layer Bethe lattice
✍ Erhan Albayrak; Osman Canko πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 431 KB

The two-layer spin-1 Ising model on the Bethe lattice is studied in terms of the intralayer coupling constants J 1 and J 2 of the two layers, interlayer coupling constant J 3 between the layers and the external magnetic fields, which are coupled to the two layers and assumed to be different for each