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

Mehrdad Ghaemi and Sheida Ahmadi

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 5, 2007-2013

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.

Keywords: Ising model; Kagome; Critical point; Two-layer; Cellular automata (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:5:p:2007-2013

DOI: 10.1016/j.physa.2011.11.037

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