CAM ANALYSIS OF DIMENSIONALITY CROSSOVER

Layered square-lattice ferromagnetic Ising models (infinity x infinity x n lattices) are studied by the Monte Carlo simulation for n = 3 to 7. The results show the dimensionality crossover from the two-dimensio nal square lattice Ising model to the three-dimensional simple cubic I sing model. Furthermore, the CAM analysis is performed to evaluate the critical exponent gamma of the three-dimensional simple cubic ferroma gnetic Ising model, which shows that gamma = 1.21(4). The present anal ysis is also applicable to the study of the phase transition of quantu m spin systems.