Folding Catastrophes due to Viscosity in Multiferroic Domains: Implications for Room-Temperature Multiferroic Switching

Unusual domains with curved walls and failure to satisfy the Landau-Lifshitz-Kittel Law are modeled as folding catastrophes (saddle-node bifurcations). This description of ballistic motion in a viscous medium is based upon early work by Dawber et al., Appl. Phys. Lett. 82, 436 (2003). It suggests that ferroelectric films can exhibit folds or vortex patterns but not both.