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

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  • Pan, Kok-Kwei

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.

Suggested Citation

  • Pan, Kok-Kwei, 2012. "Magnetic phase transition in Heisenberg antiferromagnetic films with easy-axis single-ion anisotropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 1984-1990.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:5:p:1984-1990
    DOI: 10.1016/j.physa.2011.11.048
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