Magnonic band structure of a two-dimensional magnetic superlattice
  The frequencies and linewidths of spin waves in a two-dimensional periodic superlattice of magnetic materials are found, using the Landau-Lifshitz-Gilbert equations. The form of the exchange field from a surface-torque-free boundary between magnetic materials is derived, and magnetic-material combinations are identified which produce gaps in the magnonic spectrum across the entire superlattice Brillouin zone for hexagonal and square-symmetry superlattices. 
Glade Sietsema, Michael E. Flatt\'e
cond-mat.mtrl-sci cond-mat.other