Explicit expressions are derived for the Green functions between a pair of spin operators at any two sites within a Heisenberg ferromagnetic slab of finite thickness. These Green functions are found to contain a description of the bulk spin waves and surface spin waves, together with their spectral weighting factors. The results are employed to evaluate the magnetisation in the ferromagnet as a function of temperature and distance from the surfaces.
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Cottam et al. (1980) studied this question.
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