Finite size scaling in Ising thin films
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The Curie temperature of Ising thin films with various crystalline structures and surface orientations is calculated within the Bragg-Williams and the Bethe approximations. Tc is calculated as a function of the number of layers N and the scaling relation Δτ = 1 - Tc(N) Tc(∞) = AN-λ is obtained. It is analyzed in detail how the coefficient A and the exponent λ depend on the approximation used, on the crystalline structure, on the ratio between the surface and bulk coordination numbers, and how they tend to the asymptotic values. © 1994.
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Approximation theory; Characterization; Crystal orientation; Crystal structure; Crystal symmetry; Magnetic properties; Mathematical models; Numerical analysis; Surface phenomena; Surfaces; Thermal effects; Curie temperature; Finite size scaling; Ising thin films; Surface orientation; Thin films
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