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

Tsuyoshi Horiguchi and Norihiro Tsushima

Physica A: Statistical Mechanics and its Applications, 1997, vol. 238, issue 1, 295-306

Abstract: By using a β-function for a spin-32 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 ψ 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 ν exceeds 1 in some region of interaction-parameter space, where the degeneracy of the ground state is fourfold.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:238:y:1997:i:1:p:295-306

DOI: 10.1016/S0378-4371(96)00445-1

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