Multifractal spectra of magnetostatic spin waves in quasiperiodic magnetic multilayers

A multifractal analysis for bulk spin waves propagating in quasiperiodic magnetic multilayers is carried out in the magnetostatic regime. Numerical results are obtained by considering their propagation in these artificial structures arranged in the Fibonacci, Thue–Morse and double-period sequences. An analysis for the behavior of the scaling exponent δ (the diffusion constant of the spectra) versus the in-plane wavevector K is also done, leading to interesting results. The spectra are obtained for quasiperiodic structures based on the ferromagnet crystal Fe and the antiferromagnet crystal MnF2.