Scaling of dynamic hysteresis in ferroelectric spin systems
J-M Liu; Q C Li; W M Wang; X Y Chen; G H Cao; X H Liu; Z G Liu
Журнал:
Journal of Physics: Condensed Matter
Дата:
2001-02-12
Аннотация:
We present a systematic study of dynamic hysteresis in ferroelectric spin systems by Monte Carlo simulation based on the ferroelectric DIFFOUR model, Sawyer-Tower hysteresis measurement of YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7</sub>(YBCO)PbTi<sub>0.48</sub> Zr<sub>0.52</sub>O<sub>3</sub> (PZT)/YBCO thin film capacitors and the phenomenological approach to the (Φ<sup>2</sup>)<sup>2</sup>-model system. The hysteresis area A as a function of frequency f of the external field E is single-peaked, due to the full spin relaxation at low f and suppressing effect at high f for the domain switching. It is revealed from the simulation that the hysteresis area A can be scaled with a dynamic scaling function A(f)/A<sub>m</sub> = F(x), which is symmetric to x = 0, where x = log(f/f<sub>m</sub>) with f = f<sub>m</sub> the position of the peak A<sub>m</sub> = A(f<sub>m</sub>). The scaling gets support from the experiment and is consistent with the prediction of the (Φ<sup>2</sup>)<sup>2</sup>-model.
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