Fractal aspects of the spin wave spectra in pure and generalized Fibonacci anisotropic magnetic superlattices

A microscopic theory is employed to investigate the spin-wave spectra in pure and generalized Fibonacci anisotropic magnetic superlattices. We consider that the magnetic material has a ferromagnetic order. The calculations are carried out for the exchange regime within the framework of the Heisenberg model for low temperatures (T TC) taking into account the Holstein–Primakoff transformations. Numerical results are presented to discuss the fractal aspect of the spin-wave spectra, including the localization of the modes as well as their scaling properties.