Monte-Carlo simulation of the P-E hysteresis and domain switching in ferroelectric potts lattice

Abstract

A Monte-Carlo approach based on the Q-state Potts model is developed to simulate dynamic hysteresis of ferroelectric Potts lattice against periodic time-varying external field E. The dynamic responses of the hysteresis dependent of frequency ω of applied field and domain size R are studied. The P-E loop exhibits very different patterns in various ranges of fre-quency. Its area can be scaled with Ω-ω1/3 at low ω. The remnant polarization Pr shows a maximal as a function of ω. At small domain size, the dynamic hysteresis is significantly compressed, predicting ferroelectricity weakening effect at small domain size.