| Theory of perturbations for four-terminal network with ferroelectric capacitor with negative differential capacitance |
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| Authors |
| | Rassadin A.E. |
| | Stepanov A.V. |
| Date of publication |
| | 2020 |
| DOI |
| | 10.31114/2078-7707-2020-3-201-206 |
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| Abstract |
| | In the article, integrated ferroelectric device containing ferroelectric capacitor with negative differential capacitance (NC-capacitor) has been considered. Such capacitor is created from ferroelectric-dielectric bilayer nanoheterostructure, basis of its model being the Landau-Ginzburg-Devonshire expression for free energy density of ferroelectric. At present the following direction in the development of integrated ferroelectric devices with NC-capacitors is very popular namely it deals with Negative Capacitance Field Effect Transistors because of replacement of the ordinary gate oxide in field effect transistor by NC-capacitor will open the way to a radical reduction in the power consumed by processors based on complementary metal-oxide semiconductor technology. But this paper is devoted to another direction which analyses behaviour of NC-capacitors functioning in radio engineering devices of various types. In this article a procedure for approximate construction of transient response of nonlinear four-terminal network with NC-capacitor as its nonlinear element on input voltage of arbitrary shape but small amplitude (less than 0.5 V) has been developed. In the framework of the theory of perturbations we have found a number of transient responses of the chain. The graphs of output voltage that arise when this four-terminal network is activated by exponentially increasing or decreasing signals are presented. Using of the suggested method demonstrates that in the electric circuit there are fundamentally new nonstationary regimes. Our solutions are suitable for real circuit design applications, in particular, the developed approach is appropriate for analysis of reaction of four-terminal network under investigation on random input voltages with zero average and small dispersion too but in general in this case output of four-terminal network under consideration ought to be nonstationary stochastic process. Untrivial behaviour of observable values in the chain can be applied in new automatic control systems on the basis of NC-capacitors. |
| Keywords |
| | Kirchhoff’s laws, resistance of leakage, the Abel equation of the first kind, stationary state, Chebyshev’s theorems about differential binomials, barium titanate, lead zirconate-titanate, strontium titanate. |
| Library reference |
| | Rassadin A.E., Stepanov A.V. Theory of perturbations for four-terminal network with ferroelectric capacitor with negative differential capacitance // Problems of Perspective Micro- and Nanoelectronic Systems Development - 2020. Issue 3. P. 201-206. doi:10.31114/2078-7707-2020-3-201-206 |
| URL of paper |
| | http://www.mes-conference.ru/data/year2020/pdf/D078.pdf |
