Reliability and Data Analysis of Wearout Mechanisms for Circuits

The objective of this research is to develop methodologies for the failure analysis of circuits, as well as investigate the factors for accelerating testing for front-end-of-line time-dependent dielectric breakdown (FEOL TDDB). The separation of wearout mechanisms for circuits will be investigated, and the identification of failure modes for the failure samples will be analyzed. SRAMs and ring oscillators will be used to study the failure modes. The systematic and random errors for online monitoring of SRAMS will also be examined. Furthermore, the testing plans for acceleration testing will also be explored for ring oscillators. Error reduction through sampling will also be used to find the best testing conditions for accelerated testing. This work provides a way for engineers to better understand aging monitoring of circuits, and to design better testing to collect failure data.Ph.D

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

An investigation of high-k materials in metal-insulator-metal capacitor structures

Metal insulator metal (MIM) capacitors are vital components of many devices such as communication band beamformers, medical, automotive, RF IC’s and memory applications. Current MIM capacitors technology utilises low dielectric constant (k) materials (k~3.9 - 7), these materials achieve the required electrical properties of high electric field breakdown strength and minimal leakage current. The low k value of the current materials presents a challenge to development of many new technologies and the integration of high-k materials in MIM capacitor structures is vital to overcome this. In this work we investigate the electrical properties of a hafnium silicate material system in MIM capacitors with sputtered aluminium electrodes. A conduction mechanism study was performed and an investigation of the dielectric reliability was carried out using the time dependent dielectric breakdown methodology. The material was determined to have excellent reliability characteristics. In addition, further samples of the above hafnium silicate capacitors were irradiated with total radiation dosages of 16 krad(Si) and 78 krad(Si). The electrical properties of both samples were characterised and their reliability characteristics were determined. The 16 krad(Si) sample was determined to have excellent radiation hardness and the 78 krad(Si) sample displayed a minor decrease in overall performance. Furthermore, we investigate the growth of hafnium silicate films by plasma assisted atomic layer deposition on metal electrodes and compare with a previous growth study which exhibited excellent electrical properties over a range of substrate materials. In this study the dielectric growth was influenced by the bottom electrode material. High resolution transmission electron microscopy (HRTEM) analysis and Raman spectroscopy indicate that the main crystalline phase is monoclinic HfO2 (k ~18). The scanning transmission electron microscopy (STEM) analysis reveals the presence of nanoparticles, located at the HfO2 grain boundaries. Based on energy-dispersive x-ray spectroscopy (EDX) analysis the nanoparticles are consistent with silicon oxide inclusions

Reliability of HfO2-Based Ferroelectric FETs: A Critical Review of Current and Future Challenges

Ferroelectric transistors (FeFETs) based on doped hafnium oxide (HfO2) have received much attention due to their technological potential in terms of scalability, highspeed, and low-power operation. Unfortunately, however, HfO2-FeFETs also suffer from persistent reliability challenges, specifically affecting retention, endurance, and variability. A deep understanding of the reliability physics of HfO2-FeFETs is an essential prerequisite for the successful commercialization of this promising technology. In this article, we review the literature about the relevant reliability aspects of HfO2-FeFETs. We initially focus on the reliability physics of ferroelectric capacitors, as a prelude to a comprehensive analysis of FeFET reliability. Then, we interpret key reliability metrics of the FeFET at the device level (i.e., retention, endurance, and variability) based on the physical mechanisms previously identified. Finally, we discuss the implications of device-level reliability metrics at both the circuit and system levels. Our integrative approach connects apparently unrelated reliability issues and suggests mitigation strategies at the device, circuit, or system level. We conclude this article by proposing a set of research opportunities to guide future development in this field

Nanofluid Flow in Porous Media

Studies of fluid flow and heat transfer in a porous medium have been the subject of continuous interest for the past several decades because of the wide range of applications, such as geothermal systems, drying technologies, production of thermal isolators, control of pollutant spread in groundwater, insulation of buildings, solar power collectors, design of nuclear reactors, and compact heat exchangers, etc. There are several models for simulating porous media such as the Darcy model, Non-Darcy model, and non-equilibrium model. In porous media applications, such as the environmental impact of buried nuclear heat-generating waste, chemical reactors, thermal energy transport/storage systems, the cooling of electronic devices, etc., a temperature discrepancy between the solid matrix and the saturating fluid has been observed and recognized

Improving the Reliability of Microprocessors under BTI and TDDB Degradations

Reliability is a fundamental challenge for current and future microprocessors with advanced nanoscale technologies. With smaller gates, thinner dielectric and higher temperature microprocessors are vulnerable under aging mechanisms such as Bias Temperature Instability (BTI) and Temperature Dependent Dielectric Breakdown (TDDB). Under continuous stress both parametric and functional errors occur, resulting compromised microprocessor lifetime. In this thesis, based on the thorough study on BTI and TDDB mechanisms, solutions are proposed to mitigating the aging processes on memory based and random logic structures in modern out-of-order microprocessors. A large area of processor core is occupied by memory based structure that is vulnerable to BTI induced errors. The problem is exacerbated when PBTI degradation in NMOS is as severe as NBTI in PMOS in high-k metal gate technology. Hence a novel design is proposed to recover 4 internal gates within a SRAM cell simultaneously to mitigate both NBTI and PBTI effects. This technique is applied to both the L2 cache banks and the busy function units with storage cells in out-of-order pipeline in two different ways. For the L2 cache banks, redundant cache bank is added exclusively for proactive recovery rotation. For the critical and busy function units in out-of-order pipelines, idle cycles are exploited at per-buffer-entry level. Different from memory based structures, combinational logic structures such as function units in execution stage can not use low overhead redundancy to tolerate errors due to their irregular structure. A design framework that aims to improve the reliability of the vulnerable functional units of a processor core is designed and implemented. The approach is designing a generic function unit (GFU) that can be reconfigured to replace a particular functional unit (FU) while it is being recovered for improved lifetime. Although flexible, the GFU is slower than the original target FUs. So GFU is carefully designed so as to minimize the performance loss when it is in-use. More schemes are also designed to avoid using the GFU on performance critical paths of a program execution

A novel deep submicron bulk planar sizing strategy for low energy subthreshold standard cell libraries

Engineering andPhysical Science ResearchCouncil (EPSRC) and Arm Ltd for providing funding in the form of grants and studentshipsThis work investigates bulk planar deep submicron semiconductor physics in an attempt to improve standard cell libraries aimed at operation in the subthreshold regime and in Ultra Wide Dynamic Voltage Scaling schemes. The current state of research in the field is examined, with particular emphasis on how subthreshold physical effects degrade robustness, variability and performance. How prevalent these physical effects are in a commercial 65nm library is then investigated by extensive modeling of a BSIM4.5 compact model. Three distinct sizing strategies emerge, cells of each strategy are laid out and post-layout parasitically extracted models simulated to determine the advantages/disadvantages of each. Full custom ring oscillators are designed and manufactured. Measured results reveal a close correlation with the simulated results, with frequency improvements of up to 2.75X/2.43X obs erved for RVT/LVT devices respectively. The experiment provides the first silicon evidence of the improvement capability of the Inverse Narrow Width Effect over a wide supply voltage range, as well as a mechanism of additional temperature stability in the subthreshold regime. A novel sizing strategy is proposed and pursued to determine whether it is able to produce a superior complex circuit design using a commercial digital synthesis flow. Two 128 bit AES cores are synthesized from the novel sizing strategy and compared against a third AES core synthesized from a state-of-the-art subthreshold standard cell library used by ARM. Results show improvements in energy-per-cycle of up to 27.3% and frequency improvements of up to 10.25X. The novel subthreshold sizing strategy proves superior over a temperature range of 0 °C to 85 °C with a nominal (20 °C) improvement in energy-per-cycle of 24% and frequency improvement of 8.65X. A comparison to prior art is then performed. Valid cases are presented where the proposed sizing strategy would be a candidate to produce superior subthreshold circuits

MICROELECTRONIC RELIABILITY MODELS FOR MORE THAN MOORE NANOTECHNOLOGY PRODUCTS

Disruptive technologies face a lack of Reliability Engineering Standards and Physics of Failure (PoF) heritage. Devices based on GaN, SiC, Optoelectronics or Deep-Submicron nanotechnologies or 3D packaging techniques for example are suffering a vital absence of screening methods, qualification and reliability standards when anticipated to be used in Hi-Rel application. To prepare the HiRel industry for just-in-time COTS, reliability engineers must define proper and improved models to guarantee infant mortality free, long term robust equipment that is capable of surviving harsh environments without failure. Furthermore, time-to-market constraints require the shortest possible time for qualification. Breakthroughs technologies are generally industrialized for short life consumer application (typically smartphone or new PCs with less than 3 years lifecycle). How shall we qualify these innovative technologies in long term Hi-Rel equipment operation? More Than Moore law is the paradigm of updating what are now obsolete, inadequate screening methods and reliability models and Standards to meet these demands. A State of the Art overview on Quality Assurance, Reliability Standards and Test Methods is presented in order to question how they must be adapted, harmonized and rearranged. Here, we quantify failure rate models formulated for multiple loads and incorporating multiple failure mechanisms to disentangle existing reliability models to fit the 4.0 industry needs

A COMPARATIVE STUDY OF RELIABILITY FOR FINFET

The continuous downscaling of CMOS technologies over the last few decades resulted in higher Integrated Circuit (IC) density and performance. The emergence of FinFET technology has brought with it the same reliability issues as standard CMOS with the addition of a new prominent degradation mechanism. The same mechanisms still exist as for previous CMOS devices, including Bias Temperature Instability (BTI), Hot Carrier Degradation (HCD), Electro-migration (EM), and Body Effects. A new and equally important reliability issue for FinFET is the Self -heating, which is a crucial complication since thermal time-constant is generally much longer than the transistor switching times. FinFET technology is the newest technological paradigm that has emerged in the past decade, as downscaling reached beyond 20 nm, which happens also to be the estimated mean free path of electrons at room temperature in silicon. As such, the reliability physics of FinFET was modified in order to fit the newly developed transistor technology. This paper highlights the roles and impacts of these various effects and aging mechanisms on FinFET transistors compared to planar transistors on the basic approach of the physics of failure mechanisms to fit to a comprehensive aging model