Recently, the proposal to use voltage amplification from ferroelectric negative capacitance (NC) to reduce the power dissipation in nanoelectronic devices has attracted significant attention. Homogeneous Landau theory predicts, that by connecting a ferroelectric in series with a dielectric capacitor, a hysteresis-free NC state can be stabilized in the ferroelectric below a critical film thickness. However, there is a strong discrepancy between experimental results and the current theory. Here, we present a comprehensive revision of the theory of NC stabilization with respect to scaling of material and device dimensions based on multi-domain Ginzburg–Landau theory. It is shown that the use of a metal layer in between the ferroelectric and the dielectric will inherently destabilize NC due to domain formation. However, even without this metal layer, domain formation can reduce the critical ferroelectric thickness considerably, limiting not only the range of NC stabilization, but also the maximum amplification attainable. To overcome these obstacles, the downscaling of lateral device dimensions is proposed as a way to prevent domain formation and to enhance the voltage amplification due to NC. These insights will be crucial for future NC device design and scaling towards nanoscale dimensions.

The repeated usage of frying oil is hazardous due to the degradation caused by chemical reactions, which happen while heating. The total polar compounds and the free fatty acids are the main two chemical parameters affected by frying. These parameters increase significantly with the use of oil for frying and are reported as reasons for causing serious illnesses like heart diseases. For this purpose, sensor systems for oil quality assessment are necessary. In fact, changes of the composition due to frying leads to variation of its dielectric parameters. This can be measured using a capacitive sensor and the measurement of its impedance change. The main challenge thereby is that the impedance changes are very small and stray capacitances have a big influence on the measurements. In this context, this work proposes a sensor system with high accuracy able to detect the small changes that occur in the resistance and capacitance under influence of stry capacitances. Theoretical and simulation studies are carried out for different cap acitive sensors as well as meas urement procedures of its cornp lex imp edance. The sensor should provide a high sensitivity to relative perrnittivity and the electrical conductiv ity, and at the same time a small size and a high reproducibility. Interdigital electrodes sensor with a suitable design fulfils all these requirements. A deep consideration of stray capacitances is needed to realize an accurate sensor system. For t hese reasons, the design of the measurement circuit is crucial within this work. We propose, a measurernent circuit based on a combinat ion of the method of capacitance to voltage conversion and the phase shift measurement method. By cornbining both rnethods together it is possible to rneasure accurate ly the complex irnpedance of edible oil. Experimental results show that measurement systern is capable to detect small changes of dielectric parameters, which are correlated to the chemical parameters. / Die mehrfach wiederholte Verwendung von Frittieröl ist aufgrund der Qualitätsver­ schlechterung, die während des Erhitzens auftreten durch chemische Reaktionen verursacht wird, gefährlich für die Gesundheit. Die totale polaren Kompon enten und die freien Fettsäuren sind die zwei wichtigsten chemischen Komponenten, die wesentlich durch das Braten beeinflusst werden. Diese Komponenten erhöhen sich signifikant mit der Wiederverwendung von Bratöl und verursachen u. a. ernste Herzkrankheiten. Diese Arbeit zielt darauf hin, ein mobiles, kostengünstiges, einfach zu verwenden­ des Sensorsystem für die Abschätzung der Ölqualität zu entwickeln. Das System charakterisiert die Veränderung der elektrischen Parameter des Öls durch Messung der Änderung seiner komplexen elektrischen Eigenschaft en. In dieser Arbeit wurde ein Sensorelement mit interdigitalen Elektroden entwickelt, der eine hohe Empfindlichkeit auf die relative Permittivität und die elektrischen Leitfähigkeit des Öls hat und dabei einer hohe Reproduzierbarkeit erzielen kann. Es wird ein Messverfahren vorgeschlagen, das auf der Wandlung in einer Spannung und einer Phasenverschiebung basiert. Sowohl durch theoretische Überlegungen als auch durch Simulationen konnte belegt werden, dass die Kombination beider Metho­ den eine akkurate Messung der Komplexem Imped anz hochdielektrischer Materia lien ermöglichen kann. Experiment elle Ergebnisse zeige n, dass das Messsystem in der Lage ist , kleine Änderungen der dielektrischen Parameter zu erfassen, die mit den chemischen Ölparamtern stark korrelieren.

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