Abstract

The thermodynamics of a classical Heisenberg system with layer structure is investigated by two different renormalisation group (RG) approaches. First for a small inter- to intralayer coupling ratio R=J'/J the interlayer interaction is approximated by a mean-field approach (MFA) whereas the ferromagnetic intralayer interaction is treated in an RG calculation. This approximation scheme breaks down close to the critical and the coexistence curve singularities. Second, a full RF calculation for a strongly anisotropic lattice of d=2+ epsilon dimensions is performed. When a small crystal-field anisotropy of strength DJ is included both approaches confirm a modified scaling assumption for the thermodynamic quantities. For small values of T/J, D and H/J, the usual scaling is violated by powers to which T/J is raised. The scaling functions are calculated for the ordered and disordered phase.

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