Description of domain wall motions by the hyperbolic law
Résumé
In ferroelectric materials, domain walls interact with lattice defects and several types of
domain walls displacements can be observed. When a domain wall is trapped at a pinning
point, it can “jump” to another pinning center only if the driving electric field is sufficiently
high. On the contrary, if the field is too weak, the domain wall only vibrates around its
equilibrium position. Thus, both situations contribute to the value of the permittivity which
can be described by the hyperbolic law.
This law is based on reversible and irreversible domain wall motions and allows us to
dissociate the domain wall and lattice contributions from the dielectric measurements.