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Calculation of critical properties for the anisotropic two-layer Ising model on the Kagome lattice: Cellular automata approach

Author

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  • Ghaemi, Mehrdad
  • Ahmadi, Sheida

Abstract

The critical point (Kc) of the two-layer Ising model on the Kagome lattice has been calculated with a high precision, using the probabilistic cellular automata with the Glauber algorithm. The critical point is calculated for different values of the inter- and intra-layer couplings (K1≠K2≠K3≠Kz), where K1, K2 and K3 are the nearest-neighbor interactions within each layer in the 1, 2 and 3 directions, respectively, and Kz is the intralayer coupling. A general ansatz equation for the critical point is given as a function of the inter- and intra-layer interactions, ξ=K3/K1,σ=K2/K1 and ω=Kz/K1 for the one- and two-layer Ising models on the Kagome lattice.

Suggested Citation

  • Ghaemi, Mehrdad & Ahmadi, Sheida, 2012. "Calculation of critical properties for the anisotropic two-layer Ising model on the Kagome lattice: Cellular automata approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 2007-2013.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:5:p:2007-2013
    DOI: 10.1016/j.physa.2011.11.037
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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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