Reliability Studies of TiN/Hf-Silicate Based Gate Stacks

Hafnium-silicate based oxides are among the leading candidates to be included into the first generation of high-Κ gate stacks in nano-scale CMOS technology because of their distinct advantages as far as thermal stability, leakage characteristics, threshold stability and low mobility degradation are concerned. Their reliability, which is limited by trapping at pre-existing and stress induced defects, remains to be a major concern. Energy levels of electrically active ionic defects within the thick high-Κ have been experimentally observed in the context of MOS band diagram for the first time in Hf-silicate gate stacks from low temperature and leakage measurements. Excellent match between experimental and calculated defect levels shows that bulk O vacancies are probably responsible for electron trapping at both shallow and deep levels. Their role in trapping and transport under different gate polarity and band bending conditions has been determined. For gate injection, electron transport through mid-gap states dominates, which leads to slow transient trapping at deep levels. Under substrate injection field and temperature dependent transport through conduction-edge shallow levels or trap-assisted tunneling due to negative- U transition occurs depending on bias condition. The former gives rise to fast transient trapping, whereas the latter is responsible for slow transient trapping. Mixed degradation, due to trapping of both electrons and holes in the trap levels within the bulk high-K, was observed under constant voltage stress (CVS) applied on n-channel MOS capacitors with negative bias condition. Mixed degradation resulted in turn-around effect in flat-band voltage shift (ΔFB) with respect to stress time. Under CVS with positive bias, applied on nMOSFETs, lateral distribution of trapped charges in the deep levels causes turn-around effect in threshold voltage shift (ΔVT) with respect to stress levels. For the incident carrier energies above the calculated 0 vacancy formation threshold and thick high-Κ layer, both flatband voltage shift, due to electron trapping at the deep levels, and increase in leakage current during stress follow tn(n ≈ 0.4) power-law dependence under substrate hot electron injection. Negative-U transitions to deep levels are shown to be responsible for the strong correlation between slow transient trapping and trap assisted tunneling. As far as negative bias temperature instability, NBTI effects on pMOSFETs is concerned, ΔVT is due to the mixed degradation within the bulk high-Κ for low bias conditions. For moderately high bias, ΔVT shows an excellent match with that of SiO, based devices, which is explained by reaction-diffusion (R-D) model of NBTL. Under high bias condition at elevated temperatures, due to high Si-H bond-annealing/bond-breaking ratio, the experimentally observed absence of the impact ionization induced hot holes at the interfacial layer (IL)/Si interface probably limits the interface state generation and ΔVT as they quickly reach saturation. Time-zero dielectric breakdown (TZBD) characteristics of TiN/HfO2 based gate stacks show that thickness and growth conditions significantly affect the BD field of IL. For the thin high-w layers, BD of IL triggers BD of the gate stack. Otherwise, BD of high-w layer initiates it. During time dependent dielectric breakdown, TDDB, four regimes of degradation are observed under CVS with high gate bias conditions: (i) charge trapping/defect generation, (ii) soft breakdown (SBD), (iii) progressive breakdown and (iv) hard breakdown (HBD). Activation energy of bond-breakage, found from Arrhenius plots of 63% failure value of TBD, shows that IL degradation triggers gate stacks BD, and the wear-out during TDDB

TiN/HfO2/SiO2/Si gate stacks reliability : Contribution of HfO2 and interfacial SiO2 layer

Hafnium Oxide based gate stacks are considered to be the potential candidates to replace SiO2 in complementary metal-oxide-semiconductor (CMOS), as they reduce the gate leakage by over 100 times while keeping the device performance intact. Even though considerable performance improvement has been achieved, reliability of high-κ devices for the next generation of transistors (45nm and beyond) which has an interfacial layer (IL: typically SiO2) between high-κ and the substrate, needs to be investigated. To understand the breakdown mechanism of high-κ/SiO2 gate stack completely, it is important to study this multi-layer structure extensively. For example, (i) the role of SiO2 interfacial layers and bulk high-κ gate dielectrics without any interfacial layer can be investigated separately while maintaining same growth conditions; (ii) the evolution of breakdown process can be studied through stress induced leakage current (SILC); (iii) relationship of various degradation mechanisms such as negative bias temperature instability (NBTI) with that of the dielectric breakdown; and (iv) a fast evaluation process to estimate statistical breakdown distribution. In this dissertation a comparative study was conducted to investigate individual breakdown characteristics of high-κ/IL (ISSG SiO2)/metal gate stacks, in-situ steam generated (ISSG)-SiO2 MOS structures and HfO2-only metal-insulator-metal (MIM) capacitors. Experimental results indicate that after constant voltage stress (CVS) identical degradation for progressive breakdown and SILC were observed in high-κ/IL and SiO2-only MOS devices, but HfO2-only MIM capacitors showed insignificant SILC and progressive breakdown until it went into hard breakdown. Based on the observed SILC behavior and charge-to-breakdown (QBD), it was inferred that interfacial layer initiates progressive breakdown of metal gate/high-κ gate stacks at room temperature. From normalized SILC (ΔJg/Jg0) at accelerated temperature and activation energy of the timeto- breakdown (TBD), it was observed that IL initiates the gate stack breakdown at higher temperatures as well. A quantitative agreement was observed for key parameters of NBTI and time dependent dielectric breakdown (TDDB) such as the activation energies of threshold voltage change and SILC. The quality and thickness variation of the IL causes similar degradation on both NBTI and TDDB indicating that mechanism of these two reliability issues are related due to creation of identical defect types in the IL. CVS was used to investigate the statistical distribution of TBD, defined as soft or first breakdown where small sample size was considered. As TBD followed Weibull distribution, large sample size was not required. Since the failure process in static random access memory (SRAM) is typically predicted by the realistic TDDB model based on gate leakage current (IFAIL) rather than the conventional first breakdown criterion, the relevant failure distributions at IFAIL are non-Weibull including the progressive breakdown (PBD) phase for high-κ/metal gate dielectrics. A new methodology using hybrid two-stage stresses has been developed to study progressive breakdown phase further for high-κ and SiO2. It is demonstrated that VRS can be used effectively for quantitative reliability studies of progressive breakdown phase and final breakdown of high-κ and other dielectric materials; thus it can replace the time-consuming CVS measurements as an efficient methodology and reduce the resources manufacturing cost

450degree C Aln Thin Film Growth on Nitrided C-Plane Sapphire Substrates

Low temperature (LT) growth of strongly textured AlN by molecular beam epitaxy (MBE) has not been extensively investigated. The low mobility of Al adatoms provides a challenge for growth of AlN at low temperatures (\u3c600 \u3e°C). Consequently, AlN growth by MBE is typically at temperatures \u3e700 °C. Growth at these temperatures can limit the selection of substrates and materials to grow with the AlN. Highly oriented, LT AlN thin films (\u3c50 \u3enm) were grown on c-­‐plane sapphire, using an interrupted growth procedure. Films were grown by periodically interrupting the Al flux with a nitridation. This two-­‐step cycle was repeated until the AlN film reached the desired thickness. For comparison, two groups of AlN thin films were grown using an uninterrupted growth. One group was grown using an Al/N ratio \u3e1, and the other grown with an Al/N\u3c1 were multiply oriented, with poor surface morphology. Comparison films grown with an Al/N\u3c1, strongly textured films resulted from depositing 5-­‐6 monolayers of AlN, and interrupting each growth with a 2–3 minute nitridation. The N* of a 600 W plasma produced a smooth surface. Using a 300W plasma increased surface roughness

차세대 반도체 배선을 위한 코발트 합금 자가형성 확산방지막 재료 설계 및 전기적 신뢰성에 대한 연구

학위논문(박사) -- 서울대학교대학원 : 공과대학 재료공학부, 2022.2. 주영창.Recently, the resistance-capacitance (RC) delay of the Cu interconnects in metal 1 (M1) level has been increased rapidly due to the reduction of the interconnect linewidth along with the transistor scaling down, and the interconnect reliability becomes a severe issue again. In order to overcome interconnect performance problems and move forward to the next-generation interconnects system, study on low resistivity (ρo) and low electron mean free path (λ) metals was conducted. Generally, metals such as Cobalt (Co), Ruthenium (Ru), and Molybdenum (Mo) are mentioned as candidates for next-generation interconnect materials, and since they have a low ρo × λ value, it is expected that the influence of interface scatterings and surface scattering can be minimized. However, harsh operating environments such as high electric fields, critical Joule heating, and reduction of the pitch size are severely deteriorating the performance of electronic devices as well as device reliability. For example, since time dependent dielectric breakdown (TDDB) problems for next-generation interconnect system have been reported recently, it is necessary to study alternative barrier materials and processes to improve the interconnect reliability. Specifically, extrinsic dielectric breakdown due to penetration of Co metal ions in high electric fields has been reported as a reliability problem to be solved in Co interconnect systems. Therefore, there is a need for new material system design and research on a robust diffusion barrier that prevents metal ions from penetrating into the dielectric, thereby improving the reliability of Co interconnects. Moreover, in order to lower the resistance of the interconnect, it is necessary to develop an ultra-thin barrier. This is because even a barrier with good reliability characteristics will degrade chip performance if it takes up a lot of volume in the interconnect. The recommended thickness for a single diffusion barrier layer is currently reported to be less than 2.5 nm. As a result, it is essential to develop materials that comprehensively consider performance and reliability. In this study, we designed a Co alloy self-forming barrier (SFB) material that can make sure of low resistance and high reliability for Co interconnects, which is attracting attention as a next-generation interconnect system. The self-forming barrier methodology induces diffusion of an alloy dopant at the interface between the metal and the dielectric during the annealing process. And the diffused dopant reacts with the dielectric to form an ultra-thin diffusion barrier. Through this methodology, it is possible to improve reliability by preventing the movement of metal ions. First of all, material design rules were established to screen the appropriate alloy dopants and all CMOS-compatible metals were investigated. Dopant resistivity, intermetallic compound formation, solubility in Co, activity coefficient in Co, and oxidation tendency is considered as the criteria for the dopant to escape from the Co matrix and react at the Co/SiO2 interface. In addition, thermodynamic calculations were performed to predict which phases would be formed after the annealing process. Based on thermodynamic calculations, 5 dopant metals were selected, prioritized for self-forming behavior. And the self-forming material was finally selected through thin film and device analysis. We confirmed that Cr, Zn, and Mn out-diffused to the surface of the thin film structure using X-ray photoelectron spectroscopy (XPS) depth profile and investigated the chemical state of out-diffused dopants through the analysis of a binding energy. Cr shows the most ideal self-forming behavior with the SiO2 dielectric and reacted with oxygen to form a Cr2O3 barrier. In metal-insulator-semiconductor (MIS) structure, out-diffused Cr reacts with SiO2 at the interface and forms a self-formed single layer. It was confirmed that the thickness of the diffusion barrier layer is about 1.2 nm, which is an ultra-thin layer capable of minimizing the total effective resistance. Through voltage-ramping dielectric breakdown (VRDB) tests, Co-Cr alloy showed highest breakdown voltage (VBD) up to 200 % than pure Co. The effect of Cr doping concentration and heat treatment condition applicable to the interconnect process was confirmed. When Cr was doped less than 1 at%, the robust electrical reliability was exhibited. Also, it was found that a Cr2O3 interfacial layer was formed when annealing process was performed at 250 °C or higher for 30 minutes or longer. In other words, Co-Cr alloy is well suited for the interconnect process because current interconnect process temperature is below 400 °C. And when the film thickness was lowered from 150 nm to 20 nm, excellent VBD values were confirmed even at high Cr doping concentration (~7.5 at%). It seems that the amount of Cr present at the Co/SiO2 interface plays a very important role in improving the Cr oxide SFB quality. Physical modeling is necessary to understand the amount of Cr at the interface according to the interconnect volumes and the reliability of the Cr oxide self-forming barrier. TDDB lifetime test also performed and Co-Cr alloy interconnect shows a highly reliable diffusion barrier property of self-formed interfacial layer. The DFT analysis also confirmed that Cr2O3 is a very promising barrier material because it showed a higher energy barrier value than the TiN diffusion barrier currently being studied. A Co-based self-forming barrier was designed through thermodynamic calculations that take performance and reliability into account in interconnect material system. A Co interconnect system with an ultra-thin Cr2O3 diffusion barrier with excellent reliability is proposed. Through this design, it is expected that high-performance interconnects based on robust reliability in the advanced interconnect can be implemented in the near future.최근 반도체 소자 스케일링에 따른 배선 선폭 감소로 M0, M1영역에서의 metal 비저항이 급격히 증가하여 배선에서의 RC delay가 다시 한번 크게 문제가 되고 있다. 이를 해결하기 위해서 차세대 배선 시스템에서는 낮은 비저항과 electron mean free path (EMFP)을 가지는 물질 연구가 진행되었다. 대표적으로 Co, Ru, Mo와 같은 금속들이 차세대 배선 재료 후보로 언급되고 있으며 낮은 ρ0 × λ 값을 갖기 때문에 interface (surface) scattering과 grain boundary scattering 영향을 최소화할 수 있을 것으로 보고 있다. 하지만 가혹한 electrical field와 높은 Joule heating이 발생하는 동작 환경으로 인해 performance뿐만 아니라 소자 신뢰성이 더 열악한 상황에 놓여있다. 예를 들어 차세대 금속에 대한 time dependent dielectric breakdown (TDDB) 신뢰성 문제가 보고되고 있기 때문에 이를 보안할 확산방지막 물질 및 공정연구가 필요하다. 특히 높은 전기장에서 Co ion이 유전체로 침투하여 extrinsic dielectric breakdown 신뢰성 문제가 최근 보고되고 있다. 따라서 금속 이온이 유전체 내부로 침투하는 것을 방지하여, Co 배선의 신뢰성을 향상시킬 수 견고한 확산방지막 개발 및 새로운 배선 시스템 설계가 필요한 시점이다. 또한, 배선 저항을 낮추기 위해서는 매우 얇은 확산방지막 개발이 필요하다. 신뢰성이 좋은 확산방지막이라도 배선에서 많은 영역을 차지할 경우 전체 성능이 저하되기 때문이다. Cu 확산방지막으로 사용되고 있는 TaN 층은 2.5 nm 보다 얇을 경우 신뢰성이 급격히 나빠지므로 2.5 nm보다 얇은 두께의 견고한 확산방지막 개발이 필요하다. 본 연구는 차세대 반도체 배선 물질로 주목받고 있는 Co 금속에 대하여 저저항·고신뢰성을 확보할 수 있는 Co alloy 자가형성 확산방지막 (Co alloy self-forming barrier, SFB) 소재 디자인하였다. 자가형성 확산방지막 방법론은 열처리 과정에서 금속과 유전체 계면에서 도펀트가 확산하게 된다. 그리고 확산되니 도펀트는 얇은 확산방지막을 형성하는 방법론이다. 이 방법론을 통해 금속 이온의 이동을 방지하여 Co 배선 신뢰성을 향상시킬 수 있을 것으로 예상하였다. 우선, Co 합금상에서 적절한 도펀트를 찾기 위해서 CMOS 공정에 적용 가능한 금속들을 선별하였다. 도펀트 저항, 금속간 화합물 형성 여부, Co내 고용도, Co alloy에서의 활성계수, 산화도, Co/SiO2 계면에서의 안정상을 열역학적 계산을 통해서 물질 선정 기준으로 세웠다. 열역학적 계산을 기반으로 9개의 도펀트 금속이 선택되었으며, Co 합금 자가형성 확산방지막 기준에 따라서 우선 순위를 지정하였다. 그리고 최종적으로 박막과 소자 신뢰성 평가를 통해서 가장 적합한 자가형성 확산방지막 물질을 선정하였다. X-ray photoelectron spectroscopy (XPS) 분석을 이용하여 Cr, Zn, Mn이 박막 구조의 표면으로 외부 확산 여부를 확인하고 결합 에너지 분석을 통해 외부로 확산된 도펀트의 화학적 상태를 조사하였다. 분석 결과 Cr, Zn, Mn이 유전체 계면으로 확산되어 산소와 반응하여oxide/silicate 확산 방지막 (e.g. Cr2O3, Zn2SiO4, MnSiO3)을 형성한 것을 확인하였다. 그 중 Cr은 SiO2 유전체와 함께 가장 이상적인 자기 형성 거동을 나타내며 산소와 반응하여 Cr2O3 층을 형성하는 것을 확인하였다. MIS (Metal-Insulator-Semiconductor) 구조에서도 외부로 확산된 Cr은 계면에서 SiO2와 반응하여 Cr2O3 자가형성 확산방지막이 형성되었다. 확산방지층의 두께는 약 1.2nm로 전체 유효저항을 최소화할 수 있는 충분히 얇은 두께를 확보하였다. VRDB (Voltage-Ramping Dielectric Breakdown) 테스트를 통해 Co-Cr 합금은 순수 Co보다 최대 200% 높은 항복 전압 (breakdown voltage)을 보였다. 반도체 배선 공정에 적용할 수 있는 Cr 도핑 농도와 열처리 조건의 영향을 확인하였다. Cr이 1at% 미만으로 도핑되었을 때 우수한 전기적 신뢰성을 나타내었다. 또한, 250℃ 이상에서 30분 이상 열처리를 하였을 때 Cr2O3 계면층이 형성됨을 알 수 있었다. 즉, 현재 배선 공정 온도가 400°C 미만이기 때문에 Co-Cr 합금이 배선 공정에 적용 가능함을 확인하였다. TDDB 수명 테스트도 수행되었으며 Co-Cr 합금 배선은 자체 형성된 계면층의 매우 안정적인 확산 장벽 특성을 보여주었다. DFT 분석은 Cr2O3자가형성 확산방지막이 현재 연구되고 있는 TiN 확산 장벽보다 더 높은 에너지 장벽 값을 보여주기 때문에 매우 유망한 확산방지막임을 보여주었다. 본 연구는 반도채 배선 물질 시스템에서 성능과 신뢰성을 고려한 열역학적 계산을 통해 Co 기반 자가형성 확산방지막을 설계하였다. 실험 결과 신뢰성이 우수하고 아주 얇은 Cr2O3 확산방지막이 있는 Co-Cr 합금이 제안하였다. 물질 설계와 전기적 신뢰성 검증을 Co/Cr2O3/SiO2 물질 시스템을 제안하였고 앞으로의 다가올 차세대 배선에서 구현될 수 있을 것으로 기대된다.Abstract i Table of Contents v List of Tables ix List of Figures xii Chapter 1. Introduction 1 1.1. Scaling down of VLSI systems 1 1.2. Driving force of interconnect system evolution 7 1.3. Driving force of beyond Cu interconnects 11 1.4. Objective of the thesis 18 1.5. Organization of the thesis 21 Chapter 2. Theoretical Background 22 2.1. Evolution of interconnect systems 22 2.1.1. Cu/barrier/low-k interconnect system 22 2.1.2. Process developments for interconnect reliability 27 2.1.3. 3rd generation of interconnect system 31 2.2 Thermodynamic tools for Co self-forming barrier 42 2.2.1 Binary phase diagram 42 2.2.2 Ellingham diagram 42 2.2.3 Activity coefficient 43 2.3. Reliability of Interconnects 45 2.3.1. Current conduction mechanisms in dielectrics 45 2.3.2. Reliability test vehicles 50 2.3.3. Dielectric breakdown assessment 52 2.3.4. Dielectric breakdown mechanisms 55 2.3.5. Reliability test: VRDB and TDDB 56 2.3.6. Lifetime models 57 Chapter 3. Experimental Procedures 60 3.1. Thin film deposition 60 3.1.1. Substrate preparation 60 3.1.2. Oxidation 61 3.1.3. Co alloy deposition using DC magnetron sputtering 61 3.1.4. Annealing process 65 3.2. Thin film characterization 67 3.2.1. Sheet resistance 67 3.2.2. X-ray photoelectron spectroscopy (XPS) 68 3.3. Metal-Insulator-Semiconductor (MIS) device fabrication 70 3.3.1. Patterning using lift-off process 70 3.3.2. TDDB packaging 72 3.4. Reliability analysis 74 3.4.1. Electrical reliability analysis 74 3.4.2. Transmission electron microscopy (TEM) analysis 75 3.5. Computation 76 3.5.1 FactsageTM calculation 76 3.5.2. Density Functional Theory (DFT) calculation 77 Chapter 4. Co Alloy Design for Advanced Interconnects 78 4.1. Material design of Co alloy self-forming barrier 78 4.1.1. Rule of thumb of Co-X alloy 78 4.1.2. Co alloy phase 80 4.1.3. Out-diffusion stage 81 4.1.4. Reaction step with SiO2 dielectric 89 4.1.5. Comparison criteria 94 4.2. Comparison of Co alloy candidates 97 4.2.1. Thin film resistivity evaluation 97 4.2.2. Self-forming behavior using XPS depth profile analysis 102 4.2.3. MIS device reliability test 110 4.3 Summary 115 Chapter 5. Co-Cr Alloy Interconnect with Robust Self-Forming Barrier 117 5.1. Compatibility of Co-Cr alloy SFB process 117 5.1.1. Effect of Cr doping concentration 117 5.1.2. Annealing process condition optimization 119 5.2. Reliability of Co-Cr interconnects 122 5.2.1. VRDB quality test with Co-Cr alloys 122 5.2.2. Lifetime evaluation using TDDB method 141 5.2.3. Barrier mechanism using DFT 142 5.3. Summary 145 Chapter 6. Conclusion 148 6.1. Summary of results 148 6.2. Research perspectives 150 References 151 Abstract (In Korean) 166 Curriculum Vitae 169박

Comparative study of the breakdown transients of thin Al2O3 and HfO2 films in MIM structures and their connection with the thermal properties of materials

In this work, the breakdown transients of Al2O3- and HfO2 based metal-insulator-metal (MIM) stacks with the same oxide thickness and identical metal electrodes were compared. Their connection with the thermal properties of the materials was investigated using alternative experimental setups. The differences and similarities between these transients in the fast and progressive breakdown regimes were assessed. According to the obtained results, Al2O3 exhibits longer breakdown transients than HfO2 and requires a higher voltage to initiate a very fast current runaway across the dielectric film. This distinctive behavior is ascribed to the higher thermal conductivity of Al2O3. Overall results link the breakdown process to the thermal properties of the oxides under test rather than to dissipation effects occurring at the metal electrodes.Fil: Pazos, Sebastián Matías. Universidad Tecnológica Nacional. Facultad Regional Buenos Aires; Argentina. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Aguirre, Fernando Leonel. Universidad Tecnológica Nacional. Facultad Regional Buenos Aires; Argentina. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Miranda, Enrique. Universitat Autònoma de Barcelona; EspañaFil: Lombardo, Salvatore. Consiglio Nazionale delle Ricerche; ItaliaFil: Palumbo, Félix Roberto Mario. Universidad Tecnológica Nacional. Facultad Regional Buenos Aires; Argentina. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentin

Deuterium in the gate dielectric of CMOS devices

Most of the electronic integrated circuits used today are Complementary MOS (CMOS) circuits, which consist mainly of Metal-Oxide-Semiconductor Field-Effect Transistors (MOSFETs). In the last forty years there has been a tremendous reduction of the MOSFET dimensions.\ud This reduction will continue, enabling even faster and more complex integrated circuits. But, there are a number of hurdles on the road. One of these hurdles is the thickness reduction of an essential electrically isolating layer inside the MOSFET, the so-called gate dielectric. This gate dielectric is becoming so thin, it starts to leak electrical current under operating conditions. This increases the power consumption and can lead to a non-functional transistor. Reliability is also of concern, because the gate dielectric deteriorates under device operation, leading to even larger leakage currents.\u

Yield and Reliability Analysis for Nanoelectronics

As technology has continued to advance and more break-through emerge, semiconductor devices with dimensions in nanometers have entered into all spheres of our lives. Accordingly, high reliability and high yield are very much a central concern to guarantee the advancement and utilization of nanoelectronic products. However, there appear to be some major challenges related to nanoelectronics in regard to the field of reliability: identification of the failure mechanisms, enhancement of the low yields of nano products, and management of the scarcity and secrecy of available data [34]. Therefore, this dissertation investigates four issues related to the yield and reliability of nanoelectronics. Yield and reliability of nanoelectronics are affected by defects generated in the manufacturing processes. An automatic method using model-based clustering has been developed to detect the defect clusters and identify their patterns where the distribution of the clustered defects is modeled by a new mixture distribution of multivariate normal distributions and principal curves. The new mixture model is capable of modeling defect clusters with amorphous, curvilinear, and linear patterns. We evaluate the proposed method using both simulated and experimental data and promising results have been obtained. Yield is one of the most important performance indexes for measuring the success of nano fabrication and manufacturing. Accurate yield estimation and prediction is essential for evaluating productivity and estimating production cost. This research studies advanced yield modeling approaches which consider the spatial variations of defects or defect counts. Results from real wafer map data show that the new yield models provide significant improvement in yield estimation compared to the traditional Poisson model and negative binomial model. The ultra-thin SiO2 is a major factor limiting the scaling of semiconductor devices. High-k gate dielectric materials such as HfO2 will replace SiO2 in future generations of MOS devices. This study investigates the two-step breakdown mechanisms and breakdown sequences of double-layered high-k gate stacks by monitoring the relaxation of the dielectric films. The hazard rate is a widely used metric for measuring the reliability of electronic products. This dissertation studies the hazard rate function of gate dielectrics breakdown. A physically feasible failure time distribution is used to model the time-to-breakdown data and a Bayesian approach is adopted in the statistical analysis