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The Kosterlitz-Thouless and magnetic transition temperatures in layered magnets with a weak easy-plane anisotropy

V. Yu. Irkhin·A. A. Katanin
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Abstract

The two-dimensional (2D) Heisenberg magnet with a weak easy-plane anisotropy is considered. A renormalization group (RG) analysis in this model is performed for both quantum and classical cases. A crossover from the Heisenberg to 2D XY model is discussed. The magnetic transition owing to the interlayer coupling is considered. Analytical results for the Kosterlitz-Thouless and Curie (Neel) temperatures are derived with account of two-loop corrections. The results are compared with experimental data, e.g. on K2CuF4, and turn out to provide a quantitative description, unlike the standard one-loop results.

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V. Yu. Irkhin, A. A. Katanin. 1998-10-31. The Kosterlitz-Thouless and magnetic transition temperatures in layered magnets with a weak easy-plane anisotropy. https://doi.org/10.1103/physrevb.60.2990

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