1994 Volume 63 Issue 7 Pages 2511-2513
Layered square-lattice ferromagnetic Ising models (∞ × ∞ × n lattices) are studied by the Monte Carlo simulation for n=3 to 7. The results show the dimensionality crossover from the two-dimensional square lattice Ising model to the three-dimensional simple cubic Ising model. Furthermore, the CAM analysis is performed to evaluate the critical exponent γ of the three-dimensional simple cubic ferromagnetic Ising model, which shows that γ =1.21(4). The present analysis is also applicable to the study of the phase transition of quantum spin systems.
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