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

Kok-Kwei Pan

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 5, 1984-1990

Abstract: 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/kBT have been obtained for free-surface boundary conditions. The dependence of the Néel temperature on film thickness n and easy-axis anisotropy D has been investigated. The shifts of the Néel temperature from the bulk value can be described by a power law n−λ with a shift exponent λ, where λ 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.

Keywords: Heisenberg antiferromagnetic films; Easy-axis single-ion anisotropy; Critical behavior; Shift exponent (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:5:p:1984-1990

DOI: 10.1016/j.physa.2011.11.048

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