Abstract
Ferroelectric perovskite oxides ABO3 are modelled by a two-dimensional anharmonic electron-lattice interaction model. The nonlinear model is solved exactly for arbitrary wavevector − q to find the effects of the nonlinearity on the ionic displacement coordinates. It is found that already far above Tc correlated pseudoperiodic domains appear which are dynamic and define new length and time scales. The origin of these mesoscale patterns is due to competing minima in the induced dynamical potential which drive the formation of charge rich and charge poor areas.
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