Anisotropic Heisenberg Model in Thin Film Geometry

TL;DR

This study investigates how anisotropy in exchange interactions influences phase diagrams and magnetization in Heisenberg thin films, revealing the disappearance of a special point at certain anisotropy ratios.

Contribution

It introduces an effective field formulation to analyze anisotropic exchange effects on phase behavior in Heisenberg thin films, highlighting the evolution of the special point with anisotropy.

Findings

Special point disappears at a specific anisotropy ratio.

Phase diagrams vary with surface and interior anisotropies.

Magnetization behavior depends on exchange anisotropy ratios.

Abstract

The effect of the anisotropy in the exchange interaction on the phase diagrams and magnetization behavior of the Heisenberg thin film has been investigated with effective field formulation in a two spin cluster using the decoupling approximation. Phase diagrams and magnetization behaviors have been obtained for several different cases, by grouping the systems in accordance with, whether the surfaces/interior of the film have anisotropic exchange interaction or not. Particular attention has been paid on the evolution of the special point coordinate with the anisotropy in the exchange interaction. It has been concluded that for increasing ratio of the anisotropies in the exchange interaction between the surface and interior of the film, special point disappears at a special value of this ratio.