Multilayer Heisenberg models: linear spin wave analysis

The effect of the interlayer and intralayer anisotropies on the energy gap and sublattice magnetization is investigated using the linear spin wave theory for multilayer Heisenberg models with odd number of coupled layers. In the isotropic case, such systems exhibit a long-range order and no energy gap, while, in the anisotropic case, they are still ordered and the energy gap opens for certain anisotropies.