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

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  • Horiguchi, Tsuyoshi
  • Tsushima, Norihiro

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.

Suggested Citation

  • Horiguchi, Tsuyoshi & Tsushima, Norihiro, 1997. "Shift exponent and breakdown of universality for the two-layer Ising model on a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 238(1), pages 295-306.
    • Handle: RePEc:eee:phsmap:v:238:y:1997:i:1:p:295-306
    DOI: 10.1016/S0378-4371(96)00445-1
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    1. Kirschner, Klaus & Becker, Karl & Neubauer, Günter & Krämer, Walter, 1990. "Strukturreform der gesetzlichen Krankenversicherung," Wirtschaftsdienst – Zeitschrift für Wirtschaftspolitik (1949 - 2007), ZBW - Leibniz Information Centre for Economics, vol. 70(4), pages 171-181.
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    Cited by:

    1. Anisimova, G.D. & Myshlyavtsev, A.V. & Akimenko, S.S., 2021. "The two-layer Ising model on a sequence of diamond-like hierarchical lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).

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