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

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.

4 pages, RevTeX, 1 figure

References in corpus (1)

• Thermodynamics of isotropic and anisotropic layered magnets: renormalization group approach and 1/N expansion

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