Abstract:
In a previous dynamic study of some ferroelectric materials showing memory switching behavior, a Hamiltonian was developed that gave rise to a non-linear Duffing oscillator equation involving Landau-Ginzburg free energy functional as a potential formulation (J. Appl. Phys. 100, 114106 (2006)). A high level of oscillations were observed in polarization waves against non-dimensional time that was quenched by increasing damping which is a decay constant relating to the loss of polarization due to damping during its motion in a ferroelectric material, such as lithium niobate. From the computer simulation of the damped oscillation curves, a critical time for switching, say, in a nanoswitch, was found that varies with the damping coefficient. This damping was also found to show an increasing behavior with the coercive field or amount of impurities in a quadratic manner in such ferroelectrics.
Keyword: Duffing Oscillator Equation, Ferroelectrics, Damping, Switching, Impurities.
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In a system of ferroelectrics, when the interaction or coupling between the domains tends to zero, then the spatial term vanishes, and NLKG equation gives rise to the nonlinear Duffing oscillator equation that is heavily damped. Importance of damping in lithium niobate ferroelectrics was shown against impurities which in turn influence the poling field. The critical time of switching is related to damping that shows a quadratic relation with poling field.
(Physica Scripta, Vol. 83 (2011) 015702)
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