Abstract
Using the low-temperature perturbation (spin wave) theory we calculate the temperature dependence of anisotropy constant, spin-wave stiffness, spontaneous magnetization for a two-dimensional ferromagnetic Heisenberg model with various types of anisotropy and interactions. We found that the Polyakov renormalization procedure is inapplicable for ferromagnetic phase at any anisotropy. We did not find the reorientation phase transition due to dipole-dipole interaction predicted by Pescia and Pokrovsky. Taking into account the spin flips we obtained a phase transition temperature in good agreement with results of our Monte Carlo calculations. These results demonstrate also the effectiveness of the spin wave theory.
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