Abstract
A Heisenberg model is solved for the coupling of two-dimensional ferromagnetic layers separated by nonmagnetic spacer layers in a superlattice configuration. The cases of noncoupling, and ferromagnetic and anti-ferromagnetic interlayer couplings, are solved for the temperature dependence of the magnetization at low temperature; the results yield linear, ${\mathit{T}}^{3/2}$ and ${\mathit{T}}^{2}$ power laws, respectively. Experimental realization of the coupling cases was then sought. Three sputtered Fe/Cr superlattices with 10 \AA{} Fe layers and Cr-layer thicknesses of 100, 20, and 10 \AA{} were chosen to span the three cases, respectively. Superconducting-quantum-interference-device magnetometry yields linear and ${\mathit{T}}^{3/2}$ behavior for the first two cases. M\"ossbauer spectroscopy in zero field indicates an approximately ${\mathit{T}}^{2}$ behavior for the antiferromagnetically coupled sample. The results are discussed and related to recent magnetotransport work.
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