Abstract
In this work we compare numerically exact quantum Monte Carlo (QMC) calculations and Green function theory (GFT) calculations of thin ferromagnetic films including second-order anisotropies. Thereby, we concentrate on easy-plane systems, i.e., systems for which the anisotropy favors a magnetization parallel to the film plane. We discuss these systems in perpendicular external field, i.e., $B$ parallel to the film normal. GFT results are in good agreement with QMC for high enough fields and temperatures. Below a critical field or a critical temperature, no collinear stable magnetization exists in GFT. On the other hand, QMC gives finite magnetization even below those critical values. This indicates that there occurs a transition from noncollinear to collinear configurations with increasing field or temperature. For slightly tilted external fields, a rotation of magnetization from out-of-plane to in-plane orientation is found with decreasing temperature.
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