Abstract

Some temperature-dependent properties of two-dimensional magnetic hamiltonians with uniaxial anisotropy are studied on the basis of the selfconsistently renormalized (SCR) spin-wave approximation. Due to the importance of anisotropy in two- dimensional systems, particular attention is paid to the kinematical consistency of the theory by considering multiple scattering due to anisotropy. In particular the properties of FeCl2, a layer ferromagnet with large single-ion and exchange anisotropy, and K2NiF4, a layer antiferromagnet with small anisotropy have been studied. In both cases good agreement with experiments is found for temperature renormalization of small k spin-wave energies. Improved results with respect to spin-wave theory are obtained for the order parameter. The large k dependence in the temperature renormalization of spin-wave energies is predicted for antiferromagnets with medium and small anisotropy.

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