Critical Temperature Studies of the Anisotropic Bi- and Multilayer Heisenberg Ferromagnets in Pair Approximation

TL;DR

This paper uses the Pair Approximation method to analyze how anisotropic interactions influence the critical temperatures of bilayer and multilayer Heisenberg ferromagnets, highlighting quantum effects and anisotropy roles.

Contribution

It introduces a detailed study of anisotropic Heisenberg ferromagnets in layered structures using Pair Approximation, emphasizing quantum effects and interaction anisotropy.

Findings

Compensation effect for Curie temperature in asymmetric bilayer interactions

Saturation of Curie temperature for strong interplanar interactions

Distinct behavior of multilayers with purely isotropic interplanar interactions

Abstract

The Pair Approximation method is applied to studies of the bilayer and multilayer magnetic systems with simple cubic structure. The method allows to take into account quantum effects related with non-Ising couplings. The paper adopts the anisotropic Heisenberg model for spin $S=1/2$ and considers the phase transition temperatures as a function of the exchange integrals strength in line with the role of intra- and interplanar anisotropic interactions in the onset of low-dimensional magnetism. The compensation effect for the Curie temperature is found for asymmetric interactions within the neighbouring planes of the bilayer system. The paper predicts the saturation of the Curie temperature for strong interplanar interactions. However, such an effect for the multilayer system occurs only when the interplanar interactions are of purely isotropic character.