Magnetic phase transition in Heisenberg antiferromagnetic films with easy-axis single-ion anisotropy

The staggered susceptibility of spin-1 and spin-3/2 Heisenberg antiferromagnet with easy-axis single-ion anisotropy on the cubic lattice films consisting of n = 2, 3, 4, 5 and 6 interacting square lattice layers is studied by high-temperature series expansions. Sixth order series in J/k(B)T have been obtained for free-surface boundary conditions. The dependence of the Neel temperature on film thickness n and easy-axis anisotropy D has been investigated. The shifts of the Neel temperature from the bulk value can be described by a power law n(-lambda) with a shift exponent lambda, where lambda is the inverse of the bulk correlation length exponent. The effect of easy-axis single-ion anisotropy on shift exponent of antiferromagnetic films has been studied. A comparison is made with related works. The results obtained are qualitatively consistent with the predictions of finite-size scaling theory. (C) 2011 Elsevier B.V. All rights reserved.