Abstract
The susceptibility of body-centered cubic lattice (bcc) antiferromagnetic spin- 1 2 through two model: Ising and XY films consisting of n = 2 , 3 , 4 , 5 , and 6 interacting layers is studied by high-temperature series expansions. Sixth order series in x = β J ( β = 1 k B T ) have been obtained for free-surface boundary conditions. The high temperature series expansion of the magnetic susceptibility series has been investigated by using the Padé approximant method. The Néel temperatures T N ( n ) as a function of the number of n spin layers in the films is obtained. The critical exponent γ associated with the magnetic susceptibility is deduced for Ising and XY models. The shifts of the critical temperatures from the bulk value [ T N ( ∞ ) T N ( n ) − 1 ] can be described by a power law n − λ with λ = 1 ν , where ν is the correlation length exponent.
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