Brillouin-zone mapping of the spin waves in a ferromagnetic bilayer system
Laboratory of solid State Physics, Department of Physics, Inner Mongolia University, Hohhot 010021, Inner Mongolia, P.R. China CCAST (World Laboratory), P.O. Box 8730, Beijing, 100080, P.R. China
Revised: 25 December 2006
Published online: 9 February 2007
The eigenproblems of spin waves in a heterogeneous ferromagnetic bilayer system with periodic boundary conditions are solved using the interface-rescaling approach. Brillouin zone mapping and the eigenmodes of the system are investigated. We find three types of spin waves may exist in the system: the bulk mode, the interface mode, and the perfect confined mode. The fine structure of the energy band in the heterogeneous bilayer system is first given for the whole two-dimensional Brillouin zone. Conditions for the existence of the interface mode are discussed. Finally, we analyze the resonant-confined spin waves in bulk modes and their oscillating behavior.
PACS: 75.30.Ds – Spin waves
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007