A Computationally Efficient Compact Model for Ferroelectric Switching With Asymmetric Nonperiodic Input Signals
Amol D. Gaidhane, Raghvendra Dangi, Shubham Sahay, Amit Verma, Yogesh Singh Chauhan
Abstract
In this article, we develop a Verilog-A implementable compact model for the dynamic switching of ferroelectric FinFETs (Fe-FinFETs) for asymmetric nonperiodic input signals. We use the multidomain Preisach Model to capture the saturated <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$P$ </tex-math></inline-formula> – <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$E $ </tex-math></inline-formula> loop of the ferroelectric capacitors. In addition to the saturation loop, we model the history-dependent minor loop paths in the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$P$ </tex-math></inline-formula> – <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$E $ </tex-math></inline-formula> by tracing input signals’ turning points. To capture the input signals’ turning points, we propose an RC circuit-based approach in this work. We calibrate our proposed model with the experimental data, and it accurately captures the history effect and minor loop paths of the ferroelectric capacitor. Furthermore, the elimination of storage of each turning point makes the proposed model computationally efficient compared with the previous implementations. We also demonstrate the unique electrical characteristics of Fe-FinFETs by integrating the developed compact model of Fe-Cap with the BSIM-CMG model of the 7-nm FinFET.