Abstract
Local magnons in a quasi-periodic ferromagnetic superlattice are studied by a rescaling approach. The local Green function of α and β layers in a ferromagnetic has been derived in terms of an exact decimation transformation. Using the iteration of the transformation we obtained numerical results for the local density of states (LDOS) and the low temperature magnetization, when J 1+ J 2=2 J 0 is fixed, λ= J 2 J 1 . The results showed that the band width of the LDOS of layer α is a function of λ, it can be represented as 16 SJ 0(2+ λ)/(1+ λ), the band width of the LDOS of layer β is 24 SJ 0. When λ<1, the magnetizations of layers α and β increase as λ increases for a given temperature. The magnetization of layer α is always larger than that of layer β.
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