January 2008, to be published in Physical Review B1


Order parameter in complex dipolar structures: Microscopic modeling
S. Prosandeev and L. Bellaiche

Microscopic models have been used to reveal the existence of a new order parameter that is associated with many complex dipolar structures in magnets and ferroelectrics. This overlooked order parameter involves a {\it double} cross product of the local dipoles with their positions. It provides a measure of subtle microscopic features, such as the helicity of the two domains inherent to onion states, curvature of the dipolar pattern in flower states or characteristics of set of vortices with opposite chirality (e.g., distance between vortices' centers and/or magnitude of their local dipoles).

© 2008 The American Physical Society.