Normal modes and structure factor for a canted spin system: The generalized Villain model.

Abstract

The generalized Villain model has a rich variety of possible structures, ranging from a pure ferromagnet to a pure antiferromagnet. In between these extremes, the system is canted. Using a Heisenberg exchange Hamiltonian and linearized spin-wave theory, we have studied the normal modes and structure factors for this model. The exchange ratio J'/J and the external field have both been varied. The effect of canted spin structures on the modes and structure factors is readily seen. We believe that it is now a practical matter to study the normal modes and structure factors for more complicated systems described by this type of model.