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Constructing the critical curve for a symmetric two-layer Ising model

Ghaemi, M ; Sharif University of Technology | 2004

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  1. Type of Document: Article
  2. DOI: 10.1142/S0219633604000994
  3. Publisher: 2004
  4. Abstract:
  5. A numerical method based on the transfer matrix method is developed to calculate the critical temperature of two-layer Ising ferromagnet with a weak inter-layer coupling. The reduced internal energy per site has been accurately calculated for symmetric ferromagnetic case, with the nearest neighbor coupling K1 = K2 = K (where K1 and K2 are the nearest neighbor interaction in the first and second layers, respectively) with inter-layer coupling J. The critical temperature as a function of the inter-layer coupling ξ = J/K, is obtained for very weak inter-layer interactions, ξ < 0.1. Also a different function is given for the case of the strong inter-layer interactions (ξ > 1). The importance of these relations is due to the fact that there is no well tabulated data for the critical points versus J/K. We find the value of the shift exponent φ = γ is 1.74 for the system with the same intra-layer interaction and 0.5 for the system with different intra-layer interactions
  6. Keywords:
  7. Critical temperature ; Ising model
  8. Source: Journal of Theoretical and Computational Chemistry ; Volume 3, Issue 2 , 2004 , Pages 217-224 ; 02196336 (ISSN)
  9. URL: https://www.worldscientific.com/doi/abs/10.1142/S0219633604000994