Semiconductor Physics, Quantum Electronics & Optoelectronics. 2006. V. 9, N 1. P. 014-021.
Modelling of pyroelectric response in inhomogeneous
ferroelectric-semiconductor films
1V. Lashkaryov Institute of Semiconductor Physics, NAS of Ukraine,
41, prospect Nauky, 03028 Kyiv, Ukraine, e-mail: morozo@i.com.ua
Abstract. We have modified the Landau-Khalatnikov approach and shown that the
pyroelectric response of inhomogeneous ferroelectric-semiconductor films can be
described using six coupled equations for six order parameters: average displacement, its
mean-square fluctuation and correlation with charge defect density fluctuations, average
pyroelectric coefficient, its fluctuation and correlation with charge defect density
fluctuations. Coupled equations demonstrate the inhomogeneous reversal of pyroelectric
response in contrast to the equations of the Landau-Khalatnikov type, which describe the
homogeneous reversal with the sharp pyroelectric coefficient peak near the
thermodynamic coercive field value. Within the framework of our model, the
pyroelectric hysteresis loop becomes much smoother, thinner and lower as well as the
pyroelectric coefficient peaks near the coercive field completely disappear with increase
in disordering caused by defects. This effect is similar to the well-known "square to slim
transition" of the ferroelectric hysteresis loops in relaxor ferroelectrics. Also the increase
of defect concentration leads to the drastic decrease of the coercive field typical for
disordered ferroelectrics. Usually pyroelectric hysteresis loops of doped and
inhomogeneous ferroelectrics have typical smooth shape without any pyroelectric
coefficient peaks, and the coercive field values much lower than the thermodynamic one.
Therefore, our approach qualitatively explains available experimental results. A rather
well quantitative agreement between our modelling and typical Pb(Zr,Ti)O 3 film
pyroelectric and ferroelectric loops has been obtained.
Keywords: ferroelectric-semiconductor, charged defect, coercive field, pyroelectric
hysteresis loop, coupled equations.
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