L'équipe micro-capteurs de l'IM2NP développe des capteursde gaz dont le principe de détection est basé sur la mesure de la variationde la conductance en présence de gaz. Le matériau utilisé comme élémentsensible est l'oxyde de tungstène (WO3) en couches minces. L'objet de cettethèse est donc d'étudier la surface de WO3 dans sa reconstruction c(2x2),obtenue par clivage selon la direction [001]. Cette étude a été également suivied'une étude des lacunes par des calculs ab initio basés sur la DFT, dans lesdeux approximations LDA et GGA. Ensuite, l'dsorption de molécules de gazsimples (O3, COx, NOx) sur des surfaces plus ou moins riches en oxygènea été effectuée. Pour simuler ces systèmes, nous avons fait le choix du codeSIESTA basé sur la DFT et qui présente l'avantage de pouvoir travailler. / The team of micro sensors at IM2NP mainly focuses onthe development of gas sensors based on measurement in conductancevariation in presence of gas. The material used as sensitive element istungsten oxide (WO3) thin film. The objective of present thesis is to studythe surface properties of WO3 in its reconstruction c(2x2), obtained bycleavage along the [001] direction. This study is also followed by a gapanalysis using ab initio calculations based on DFT in both LDA andGGA approximations. Then, the adsorption of molecules of simple gases((O3, COx NOx) for these surfaces (more or less rich in oxygen), is performed.To simulate these systems, we have chosen the SIESTA code based onDFT which is used for the larger number of atoms as compared to other codes.

A study of defects in semiconductors is vital as defects tend to influence device operation by modifying their electrical and optoelectronic properties. This influence can at times be desirable in the case of fast switching devices and sometimes undesirable as they may reduce the efficiency of optoelectronic devices. ZnO is a wide bandgap material with a potential for fabricating UV light emitting diodes, lasers and white lighting devices only after the realization of reproducible p-type material. The realization of p-type material is greatly affected by doping asymmetry. The self-compensation behaviour by its native defects has hindered the success in obtaining the p-type material. Hence there is need to understand the electronic properties, formation and annealing-out of these defects for controlled material doping. Space charge spectroscopic techniques are powerful tools for studying the electronic properties of electrically active defects in semiconductors since they can reveal information about the defect “signatures”. In this study, novel Schottky contacts with low leakage currents of the order of 10-11 A at 2.0 V, barrier heights of 0.60 – 0.80 eV and low series resistance, fabricated on hydrogen peroxide treated melt-grown single crystal ZnO samples, were demonstrated. Investigations on the dependence of the Schottky contact parameters on fabrication techniques and different metals were performed. Resistive evaporation proved to produce contacts with lower series resistance, higher barrier heights and low reverse currents compared to the electron-beam deposition technique. Deep level transient spectroscopy (DLTS) and Laplace-DLTS have been employed to study the electronic properties of electrically active deep level defects in ZnO. Results revealed the presence of three prominent deep level defects (E1, E2 and E3) in the as-received ZnO samples. Electron-beam deposited contacts indicated the presence of the E1, E2 and E3 and the introduction of new deep level defects. These induced deep levels have been attributed to stray electrons and ionized particles, present in the deposition system during contact fabrication. Exposure of ZnO to high temperatures induces deep level defects. Annealing samples in the 300°C – 600°C temperature range in Ar + O2 induces the E4 deep level with a very high capture cross-section. This deep level transforms at every annealing temperature. Its instability at room temperature has been demonstrated by a change in the peak temperature position with time. This deep level was broad, indicating that it consists of two or more closely spaced energy levels. Laplace-DLTS was successfully employed to resolve the closely spaced energy levels. Annealing samples at 700°C in Ar and O2 anneals-out E4 and induces the Ex deep level defect with an activation enthalpy of approximately 160 – 180 meV. Vacuum annealing performed in the 400°C – 700°C temperature range did not induce any deep level defects. Since the radiation hardness of ZnO is crucial in space applications, 1.6 MeV proton irradiation was performed. DLTS revealed the introduction of the E4 deep level with an activation enthalpy of approximately 530 meV, which proved to be stable at room temperature and atmospheric pressure since its properties didn’t change over a period of 12 months. / Thesis (PhD)--University of Pretoria, 2013. / Physics / unrestricted

[pt] Este trabalho consiste em dois estudos complementares sobre materiais a base de Al2W3O12. Portanto, o objetivo deste trabalho foi i) produzir cerâmicas densas de Al2W3O12 através de diferentes métodos de sinterização e avaliar sua densificação e microestrutura, e ii) avaliar a evolução do estado dos defeitos pontuais no Al2W3O12 depois de variações de temperatura durante o processo de calcinação em ar. Pó amorfo de Al2W3O12 foi produzido via coprecipitação seguido por calcinação para induzir cristalização. A influência das diferentes temperaturas de calcinação em atmosfera de ar ambiente foi verificada enquanto o tempo de calcinação se manteve fixo, por diferentes técnicas, como Difração de Raios-X (DRX), espectroscopia Raman, e espectroscopia de Ressonância Paramagnética Eletrônica (EPR), para entender a formação de defeitos pontuais na estrutura cristalina do Al2W3O12. Diferentes concentrações de vacâncias de oxigênio foram formadas ao alterar a temperatura de calcinação de 500 a 620 graus C. Foi observado que a concentração de vacâncias de oxigênio aumenta com a redução da temperatura de calcinação. Interessantemente, a maior concentração de vacâncias de oxigênio ocorre enquanto o pó ainda é amorfo à 500 graus C. Portanto, o processo de cristalização do Al2W3O12 ortorrômbico é altamente afetado pela formação de vacâncias de oxigênio. O melhor pó de Al2W3O12, calcinado a 570 graus C, foi selecionado e utilizado para consolidação das pastilhas para sinterização. Foi determinado que devido a presença de aglomerados, foi necessário moagem para quebrar os aglomerados e aumentar a área superficial específica do pó. Após moagem de bolas a área superficial específica foi de 26.4 m(2)g(-1) para 31.4 m(2)g(-1). Os pós calcinados moídos e não moídos foram usados para produzir corpos de prova sinterizados, e a sua densificação, microestrutura e propriedades mecânicas foram comparadas. As rotas de sinterização consistem em Sinterização Rápida Sem Auxílio de Pressão (RPLS) e Spark Plasma Sintering method (SPS). O método RPLS produziu cerâmicas densas de 96 por cento da densidade teórica em sua melhor configuração, enquanto SPS produzir pastilhas tão densas quanto 98 por cento da densidade teórica. O processo de moagem dos pós calcinados não mostrou grandemelhora na densificação ou microestrutura, formando amostras ligeiramente maisdensas do que aquelas sem moagem. / [en] This work consists of two complementary studies regarding Al2W3O12-based materials. Therefore, the aim of this work was to i) produce dense Al2W3O12 ceramics by different sintering routes and evaluate its effects on densification and microstructure, and ii) evaluate the evolution of point defects on Al2W3O12 after temperature variations during the calcination process in air atmosphere. Al2W3O12 amorphous powder was produced via coprecipitation synthesis followed by calcination to induce crystallization. The influence of the different calcination temperatures in ambient air atmosphere was assessed while the calcination time remained the same, by various techniques, such as X-ray Powder Diffraction (XRPD), Raman, and Electron Paramagnetic Resonance (EPR) Spectroscopies to understand the formation of point defects into Al2W3O12 crystal structure. Different concentrations of oxygen vacancies were formed while altering the calcination temperature from 500 – 620 degrees C. It was observed that the oxygen vacancy concentration increases with the decrease of the calcination temperature. Interestingly, the highest oxygen vacancy content occurs while the powder is still amorphous at 500 degrees C. Therefore, the crystallization process of orthorhombic Al2W3O12 is highly affected by the formation of oxygen vacancies. The best Al2W3O12 powder, calcined at 570 degrees C, was selected and used to consolidate the pellets for sintering. It was determined that due to the presence of agglomerates, further milling was necessary to break the agglomerates and increase the specific surface area of the powder. After ball-milling the specific surface area went from 26.4 m(2)g(-1) to 31.4 m(2)g(-1). The milled and non-milled calcined powders were used to produce sintered bodies and is densification, microstructure, and mechanical properties compared. The sintering routes consisted of Rapid Pressure-Less Sintering (RPLS) technique and Spark Plasma Sintering method (SPS). RPLS technique produced dense cylinders of 96 percent density at its best setting, while SPS produced pellets as dense as 98.8 percent TD. The process of milling the calcined powder did not show much improvement in either densification or microstructure, forming samples slightly denser than those without milling.

[pt] O controle de parâmetros físicos e químicos das nanopartículas, tais quais, forma, composição e tamanho, além da interação entre metal e suporte, são fatores determinantes no desenvolvimento de um nanocatalisador com uma boa performance. Desse modo, nanopartículas de ouro foram incorporadas em nanofios de céria e utilizados como nanocatalisador para a oxidação seletiva do tioanisol. Sendo a sua morfologia 1D, com grande área superficial específica, diâmetros finos, alta concentração de vacância de oxigênio e pequenas NPs de Au uniformemente distribuídas na superfície do CeO2, além de espécies oxidadas de ouro, temos em nosso material características que o torna favorável a reação de oxidação. Os nanofios de CeO2-Au demonstraram uma melhora na performance da oxidação seletiva do tioanisol quando comparados aos nanofios de céria puros, e ao material comercial com e sem a deposição de NPs de Au. Os nanofios de céria obtiveram uma seletividade de 100 porcento para o metil fenil sulfóxido, e uma conversão de 53 porcento em 2 h de reação. O impacto da temperatura também foi observado, demonstrando que esse é, também, um fator importante na análise da atividade de um catalisador. / [en] The control over physical and chemical parameters of nanoparticles, such as shape, composition and size as well as the interactions between metal and support, are important factors in the development of a nanocatalyst with high activity. In this context, gold nanoparticles were incorporated the surface of ceria nanowire for application as nanocatalysts towards the selective oxidation of thioanisole. Considerin their one-dimensional morphology, high specific surface area, thin diameters, significant concentration of oxygen vacancies, and small Au NPs uniformly deposited at the CeO2 nanowires surface, our material displayed characteristics that makes them favorable for oxidations reactions. The CeO2-Au nanowires showed improved catalytic performances in the selective oxidation of thioanisol relative to pure CeO2 nanowires and commercial CeO2 with and without Au NPs deposited. CeO2-Au nanowires catalyzed the desired product with 100 percent of selectivity and 53 percent of conversion. The impact of temperature, such as the solvent, were also observed revealing that these factors also influences in the activity of these nanocatalyst.

No description available.

The ensuring of reliability of piezoelectric thin films is crucial for a successful piezoelectric micro-electromechanical system (piezoMEMS) application. One of the most important limiting factors for reliability is resistance degradation, where the leakage current increases over time under electrical load. The understanding of resistance degradation in piezoelectric thin films requires knowledge about point defects inside the materials. In this dissertation, the resistance degradation mechanism in sputtered lead zirconate titanate (PZT) and lead-free alternative sodium potassium niobate (KNN) thin films is studied in both voltage polarities, and its relation to point defects is established. The conduction mechanism of both PZT and KNN thin films is found to be Schottky-limited. Furthermore, the resistance degradation is due to the reduction in Schottky barrier height, which results from the interfacial accumulation of additional charged defects. In order to study those defects, we use thermally stimulated depolarization current (TSDC) measurements and charge-based deep level transient spectroscopy (Q-DLTS) to characterize the defects in both PZT and KNN thin films. In PZT thin films, the resistance degradation take place in different waves of increasing leakage current. Both oxygen vacancies and lead vacancies contribute to the different waves of resistance degradation in both voltage polarities. A physical degradation model was developed based on hopping migration of oxygen vacancies at constant speed and exponent accumulation of lead vacancy trapping, where the natural logarithm of leakage current is proportional to the accumulated defect concentration to the power of 0.25. By using the oxygen vacancy concentration measured by TSDC and lead vacancy concentrations measured by Q-DLTS, the model successfully explained the resistance degradation behaviors of PZT films varying due to deposition non-uniformity and due to different process parameters. The accumulation of oxygen vacancies at cathode is supported by X-ray photoelectron spectroscopy (XPS), and the resistance degradation can be restored by proper heat and electrical treatment as predicted by the defect characterization results. In KNN thin films, oxygen vacancies contribute to the resistance degradation when a negative voltage is applied at the top electrode, whereas sodium and potassium vacancies contribute to the resistance degradation when a positive voltage is applied at the top electrode. The model developed for PZT can be applied also to KNN, where the model successfully explained the resistance degradation behaviors of KNN films varying due to the deposition non-uniformity by using the defect concentration measured by TSDC. The accumulation of oxygen vacancies at cathode and sodium plus potassium vacancies at anode are supported by transmission electron microscopy energy dispersive X-ray spectroscopy (TEM-EDX), and the resistance degradation can be restored also by proper heat and electrical treatment as predicted by the defect characterization results. This dissertation revealed the similarity of the resistance degradation between sputtered PZT and KNN thin films. The degradation is controlled by the crystallography point defects created during deposition process inside the material, indicating the significance of process control on material reliability. This dissertation also demonstrates the applicability of TSDC and Q-DLTS as alternative methods to assess the quality of the piezoelectric thin films. Both measurement techniques provide additional information regarding specific defects when comparing with conventional highly accelerated lifetime test (HALT) or other relevant tests. / Die Sicherstellung der Zuverlässigkeit piezoelektrischer Dünnschichten ist entscheidend für eine erfolgreiche Anwendung in piezoelektrischen mikro-elektromechanischen Systemen (piezoMEMS). Einer der wichtigsten limitierenden Faktoren für die Zuverlässigkeit ist die Widerstandsdegradation, bei der der Leckstrom mit der Zeit unter elektrischer Last zunimmt. Das Verständnis der Widerstandsdegradation in piezoelektrischen Dünnschichten erfordert laut Literatur Kenntnisse über Punkt-Defekte innerhalb der Materialien. In dieser Dissertation wird der Mechanismus der Widerstandsdegradation in gesputterten Blei-Zirkonat-Titanat (PZT) Dünnschichten und dessen bleifreier alternative Kalium-Natrium-Niobat (KNN) in beiden Spannungspolaritäten untersucht und deren Zusammenhang mit Punkt-Defekte hergestellt. Der Leitungsmechanismus von PZT- und KNN-Dünnschichten ist Schottky-begrenzt. Außerdem ist die Widerstandsdegradation auf die Reduzierung der Schottky-Barrierhöhe zurückzuführen, die von der Akkumulation zusätzlicher aufgeladener -Defekte an der Grenzfläche stammt. Um diese -Defekte zu untersuchen, verwenden wir thermisch stimulierte Depolarisationsstrommessungen (Thermally stimulated depolarization current, TSDC) und ladungsbasierte Deep-Level-Transientenspektroskopie (Charge-based deep level transient spectroscopy, Q-DLTS), um die Defekte sowohl in PZT- als auch in KNN-Dünnschichten zu charakterisieren.Die Wiederstandsdegradation in PZT-Dünnschichten findet in unterschiedlichen Wellen des erhöhenden Leckstroms statt. Sowohl Sauerstofffehlstellen als auch Bleifehlstellen tragen zu den unterschiedlichen Wellen der Widerstandsdegradation in beiden Spannungspolaritäten bei. Ein physikalisches Degradationsmodell wurde entwickelt, basierend auf der Hopping-Migration von Sauerstofffehlstellen bei konstanter Geschwindigkeit und exponentieller Akkumulation von Ladungseinfang durch Bleifehlstellen, wobei der natürliche Logarithmus des Leckstroms proportional zur akkumulierten Defektkonzentration hoch 0,25 ist. Durch die Verwendung der Sauerstofffehlstellen- und Bleifehlstellenkonzentrationen konnte das Modell das Widerstandsdegradationsverhalten von PZT-Dünnschichten erklären, das wegen der Ungleichmäßigkeit der Deposition und wegen der verschiedenen Prozessparameters variiert. Die Sauerstofffehlstellenkonzentration wird durch TSDC gemessen und die Bleifehlstellenkonzentrationen wird durch Q-DLTS gemessen. Die Akkumulation von Sauerstofffehlstellen an der Kathode wird durch die Röntgen-Photoelektronenspektroskopie (X-ray photoelectron spectroscopy, XPS) unterstützt und die Widerstandsdegradation kann durch eine ordnungsgemäße Wärme- und elektrische Behandlung wiederhergestellt werden, wie durch die Ergebnisse von Defektecharakterisierung vorhergesagt wurde. Bei KNN-Dünnschichten tragen Sauerstofffehlstellen zu der Widerstandsdegradation bei, wenn eine negative Spannung an der oberen Elektrode anliegt, und Natrium- und Kaliumfehlstellen tragen zu der Widerstandsdegradation bei, wenn eine positive Spannung an der oberen Elektrode anliegt. Das für PZT entwickelte Modell kann auch auf KNN angewendet werden. Das Modell erklärt erfolgreich das Widerstandsdegradationverhalten von KNN-Dünnschichten, das durch die Ungleichmäßigkeit der Deposition variiert werden, was mithilfe der mit TSDC gemessenen Defektkonzentrationen erklärt werden kann. Die Akkumulation von Sauerstofffehlstellen an Kathode und Natrium- und Kaliumfehlstellen an der Anode wird durch die transmissionselektronenmikroskopische energiedispersive Röntgenspektroskopie (transmission electron microscopy energy dispersive X-ray spectroscopy, TEM-EDX) unterstützt, und die Widerstandsdegradation kann auch durch eine ordnungsgemäße Wärme- und elektrische Behandlung wiederhergestellt werden, wie durch die Ergebnisse von Defektecharakterisierung vorhergesagt wurde. Diese Dissertation zeigt die Ähnlichkeit der Widerstandsdegradation zwischen gesputterten PZT- und KNN-Dünnschichten. Die Degradation wird durch die kristallographischen Punkt-Defekte gesteuert, die während des Abscheidungsprozesses im Material entstehen. Das weist auf die Bedeutung der Prozesskontrolle für die Zuverlässigkeit des Materials hin. Diese Dissertation zeigt auch die Anwendbarkeit von TSDC und Q-DLTS als alternative Methoden zur Beurteilung der Qualität der piezoelektrischen Dünnschichten. Beide Messtechniken liefern zusätzliche Informationen zu spezifischen Defekte im Vergleich zu traditionellen HALT-Prüfungen (highly accelerated lifetime test).

Diese Arbeit beschäftigt sich mit der „First-Principles“ atomskaligen Modellierung der HfO2-basierten high-k-Gate-Isolatorschichten der Metalloxid-Halbleiter-Feldeffekttransistoren. Die theoretischen Untersuchungen basieren auf Dichtefunktionaltheorie und Nichtgleichgewicht-Greensche-Funktion-Formalismen. Eine der wichtigsten Eigenschaften eines Gate-Isolators ist der Wert seiner Bandlücke. Die Bandlücke eines gemischten Festkörpers aus SiO2 und ZrO2 oder HfO2 wird auf der Grundlage der „Generalized Quasi-Chemical“ Approximation in Kombination mit dem „Cluster Expansion“ Ansatz berechnet. Zu diesem Zweck wurde Dichtefunktionaltheorie für die Berechnung der Eigenschaften verschiedener Konfigurationen möglicher Elementarzellen durchgeführt. Es wurde ein fast linearer Verlauf für die Bandlücke eines aus SiO2 und HfO2 gemischten Festkörpers berechnet. Im Vergleich zu dem üblichen SiO2 Gate-Isolator, haben die high-k-Gate-Isolatoren eine höhere Defektdichte, die hauptsächlich aus Sauerstoffleerstellen bestehen. Dies führt zu mehreren Problemen, wie zum Beispiel höherer Leckstrom, Schwellenspannungsverschiebung und Degradation des Gateoxids. Daher wurde eine umfassende Untersuchung der verschiedenen Eigenschaften von Sauerstofffehlstellen in HfO2 durchgeführt, indem wichtige Parameter wie zum Beispiel die Formationsenergien und die Lage der Defektniveaus in der Bandlücke berechnet wurden. Es wurde durch die theoretischen Berechnungen gezeigt, dass die schädlichen Auswirkungen von Sauerstofffehlstellen durch die Einführung von Lanthan-Atomen in dem HfO2 Kristallgitter teilweise zu verringern sind. Energetisch gesehen bevorzugen die Lanthan-Atome die Hf-Gitterplätze in der Nachbarschaft einer Sauerstofffehlstelle und führen dadurch zu der Passivierung durch Sauerstoffleerstelle induzierten Defektniveaus. Die high-k-Isolatorschicht in den heutigen Transistoren besteht aus drei Schichten: einem Metallgate, einer HfO2-Schicht als Haupt-Gate-Isolator und einer sehr dünnen SiO2 Übergangsschicht zwischen Gateoxid und Si. Die Einführung eines Metallgates führt zu einigen Problemen bei der Einstellung einer geeigneten Schwellenspannung in den Transistoren. Theoretische Berechnungen in einer komplexen Modellstruktur von der Si/SiO2/HfO2-Grenzfläche zeigen, dass die dotierten Lanthan-Atome energetisch die SiO2/HfO2-Grenzfläche bevorzugen, was wiederum ein Dipolmoment an der Grenzfläche erzeugt. Dieses Dipolmoment kann verwendet werden, um die richtige Schwellenspannung wieder einzustellen. Schließlich wird in den experimentellen Messungen festgestelltes progressives Degradationsverhalten von high-k-Gate-Isolatoren mit einem theoretischen Modell erklärt. Dieses Modell basiert auf ab-initio-Berechnungen und zeigt, wie die Erzeugung geladener Sauerstoffleerstellen und deren Migration unter der angelegten Gatespannung zu einer progressiven Erhöhung des Leckstroms und folglich zu einer Degradation der Isolatorschicht führt.:List of Figures 7 List of Tables 9 List of Symbols 10 List of Abbreviations 11 Chapter 1: Introduction 12 Chapter 2: Theory of Atomic-Scale First-Principles Calculations 15 2.1 Theoretical methods 15 2.2 Density functional theory 17 2.3 Non-equilibrium Green’s function formalism 23 Chapter 3: Calculations for Bulk High-k Materials 27 3.1 Bulk high-k materials 27 3.2 Crystalline insulators 27 3.3 Solid solutions 29 3.3.1 Cluster expansion approach 30 3.3.2 Band gap and bowing parameter 33 3.3.3 Calculation of internal stress 40 3.4 Leakage current 41 Chapter 4: Defects in Bulk High-k Materials 43 4.1 Defects in high-k gate dielectrics 43 4.2 Oxygen vacancies in monoclinic HfO2 44 4.2.1 Neutral oxygen vacancies 44 4.2.2 Charged oxygen vacancies 46 4.3 Hybrid functional 50 4.4 Double oxygen vacancies 56 4.5 Interaction of oxygen vacancies with La-doping 61 4.5.1 La doping in m-HfO2 61 4.5.2 Complex LaHfVO defects 64 Chapter 5: Interface Properties of High-k Gate Stack 72 5.1 high-k gate-stack 72 5.1.1 Atomic-scale model structure for a high-k gate-stack 72 5.1.2 Electronic structure 74 5.1.3 Leakage current 76 5.2 Band offset 80 5.3 Threshold voltage engineering with La doping 84 Chapter 6: Degradation of the High-k Gate Stack 90 6.1 Reliability issues in high-k gate-stack 90 6.2 Calculations and experimental methods 91 6.3 Leakage current 92 6.4 Defect generation 100 6.5 Explaining progressive SILC in high-k dielectrics 102 Chapter 7: Conclusions 104 Bibliography 106 Selbständigkeitserklärung 119 Danksagung 120 Lebenslauf 121 Veröffentlichungen 122 / This thesis deals with the first-principles atomic-scale modeling of the HfO2-based high-k gate-insulator layer of the metal-oxide-semiconductor field-effect transistors. The theoretical investigations are based on density functional theory and non-equilibrium Green's function formalisms. One of the important properties of the gate insulator is the value of its band gap. The band gap of amorphous solid mixtures of SiO2 and ZrO2 or HfO2 is calculated based on generalized quasi-chemical approximation combined with a cluster expansion approach, by performing density functional calculations on different configurations of possible unit cells. An almost linear variation of the band gap is obtained for solid mixtures of SiO2 and HfO2. One drawback of the high-k gate-insulator, comparing to the standard SiO2, is high density of defects, particularly oxygen vacancies, which leads to several problems such as enhancement of the leakage current, threshold voltage instability, and degradation of the gate-oxide. A comprehensive investigation of different properties of oxygen vacancies in HfO2 is conducted by the calculation of formation energies and induced trap levels. It is shown based on theoretical calculations that the harmful effects of oxygen vacancies can be partially healed by introducing lanthanum atoms into the defected HfO2 crystal. Lanthanum atoms energetically prefer to occupy Hf lattice sites close to the oxygen vacancies and passivate the induced defect levels. The state-of-the-art high-k gate-stacks consist of a metal-gate on a HfO2 layer, as the main part of the gate insulator, and a very thin SiO2 intermediate layer between high-k material and Si. The introduction of a metal-gate raises some problem in the adjustment of an appropriate threshold voltage. Theoretical calculations in a complex model structure of the Si/SiO2/HfO2 interface reveals that the lanthanum atoms energetically prefer to stay at the SiO2/HfO2 interface, which in turn results in a dipole moment. This dipole moment can be employed to adjust the threshold voltage in high-k/metal-gate stacks. Finally, a theoretical model, which can quiet well explain the experimental measurements, is introduced for the progressive degradation of the high-k gate-insulators. This model is based on ab-initio calculations and shows how the generation of charged vacancies and their migration under the applied gate voltage leads to the progressive enhancement of the leakage current and consequently to the degradation of the insulator layer.:List of Figures 7 List of Tables 9 List of Symbols 10 List of Abbreviations 11 Chapter 1: Introduction 12 Chapter 2: Theory of Atomic-Scale First-Principles Calculations 15 2.1 Theoretical methods 15 2.2 Density functional theory 17 2.3 Non-equilibrium Green’s function formalism 23 Chapter 3: Calculations for Bulk High-k Materials 27 3.1 Bulk high-k materials 27 3.2 Crystalline insulators 27 3.3 Solid solutions 29 3.3.1 Cluster expansion approach 30 3.3.2 Band gap and bowing parameter 33 3.3.3 Calculation of internal stress 40 3.4 Leakage current 41 Chapter 4: Defects in Bulk High-k Materials 43 4.1 Defects in high-k gate dielectrics 43 4.2 Oxygen vacancies in monoclinic HfO2 44 4.2.1 Neutral oxygen vacancies 44 4.2.2 Charged oxygen vacancies 46 4.3 Hybrid functional 50 4.4 Double oxygen vacancies 56 4.5 Interaction of oxygen vacancies with La-doping 61 4.5.1 La doping in m-HfO2 61 4.5.2 Complex LaHfVO defects 64 Chapter 5: Interface Properties of High-k Gate Stack 72 5.1 high-k gate-stack 72 5.1.1 Atomic-scale model structure for a high-k gate-stack 72 5.1.2 Electronic structure 74 5.1.3 Leakage current 76 5.2 Band offset 80 5.3 Threshold voltage engineering with La doping 84 Chapter 6: Degradation of the High-k Gate Stack 90 6.1 Reliability issues in high-k gate-stack 90 6.2 Calculations and experimental methods 91 6.3 Leakage current 92 6.4 Defect generation 100 6.5 Explaining progressive SILC in high-k dielectrics 102 Chapter 7: Conclusions 104 Bibliography 106 Selbständigkeitserklärung 119 Danksagung 120 Lebenslauf 121 Veröffentlichungen 122