Thermodynamics of isotropic and anisotropic layered magnets: Renormalization-group approach and expansion

V. Yu Irkhin, A. Katanin

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)


The (Formula presented) model of layered antiferromagnets and ferromagnets with a weak interlayer coupling and/or easy-axis anisotropy is considered. A renormalization-group (RG) analysis in this model is performed, the results for (Formula presented) being expected to agree with those of the (Formula presented) expansion in the (Formula presented) model at (Formula presented). The quantum and classical cases are considered. A crossover from an isotropic two-dimensional (2D)-like to a three-dimensional Heisenberg (or 2D Ising) regime is investigated within the (Formula presented) expansion. Analytical results for the temperature dependence of the (sublattice) magnetization are obtained in different regimes. The RG results for the ordering temperature are derived. In the quantum case they coincide with the corresponding results of the (Formula presented) expansion. The numerical calculations, based on the equations obtained, yield a good agreement with experimental data on the layered perovskites La(Formula presented)CuO(Formula presented), K(Formula presented)NiF(Formula presented), and Rb(Formula presented)NiF(Formula presented), and the Monte Carlo results for the anisotropic classical systems.

Original languageEnglish
Pages (from-to)379-391
Number of pages13
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number1
Publication statusPublished - 1998
Externally publishedYes


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