Abstract
We consider ferromagnetic exchange energy J 1 and J 2 between layers, which are arranged in a quasi-periodic Fibonacci sequence, and present a rescaling approach to magnons in quasi-periodic superlattice ferromagnets. An exact decimation transformation has been derived for magnons of ferromagnets. A Green's function formalism is presented which, when combined with the rescaling transformation, provides an exact determination of Green's function. Iteration of the transformation provides numerical results for the density of states (DOS) and the low temperature magnetization, when J 1 + J 2 fixed, λ = J 2/ J 1 (> 1). We found that the magnetization decreases as λ increases for a given temperature.
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