Simulation of intrinsic parameter fluctuations in decananometer and nanometer-scale MOSFETs

Intrinsic parameter fluctuations introduced by discreteness of charge and matter will play an increasingly important role when semiconductor devices are scaled to decananometer and nanometer dimensions in next-generation integrated circuits and systems. In this paper, we review the analytical and the numerical simulation techniques used to study and predict such intrinsic parameters fluctuations. We consider random discrete dopants, trapped charges, atomic-scale interface roughness, and line edge roughness as sources of intrinsic parameter fluctuations. The presented theoretical approach based on Green's functions is restricted to the case of random discrete charges. The numerical simulation approaches based on the drift diffusion approximation with density gradient quantum corrections covers all of the listed sources of fluctuations. The results show that the intrinsic fluctuations in conventional MOSFETs, and later in double gate architectures, will reach levels that will affect the yield and the functionality of the next generation analog and digital circuits unless appropriate changes to the design are made. The future challenges that have to be addressed in order to improve the accuracy and the predictive power of the intrinsic fluctuation simulations are also discussed

Grid infrastructures for the electronics domain: requirements and early prototypes from an EPSRC pilot project

The fundamental challenges facing future electronics design is to address the decreasing – atomistic - scale of transistor devices and to understand and predict the impact and statistical variability these have on design of circuits and systems. The EPSRC pilot project “Meeting the Design Challenges of nanoCMOS Electronics” (nanoCMOS) which began in October 2006 has been funded to explore this space. This paper outlines the key requirements that need to be addressed for Grid technology to support the various research strands in this domain, and shows early prototypes demonstrating how these requirements are being addressed

Simulation study of scaling design, performance characterization, statistical variability and reliability of decananometer MOSFETs

This thesis describes a comprehensive, simulation based scaling study – including device design, performance characterization, and the impact of statistical variability – on deca-nanometer bulk MOSFETs. After careful calibration of fabrication processes and electrical characteristics for n- and p-MOSFETs with 35 nm physical gate length, 1 nm EOT and stress engineering, the simulated devices closely match the performance of contemporary 45 nm CMOS technologies. Scaling to 25 nm, 18 nm and 13 nm gate length n and p devices follows generalized scaling rules, augmented by physically realistic constraints and the introduction of high-k/metal-gate stacks. The scaled devices attain the performance stipulated by the ITRS. Device a.c. performance is analyzed, at device and circuit level. Extrinsic parasitics become critical to nano-CMOS device performance. The thesis describes device capacitance components, analyzes the CMOS inverter, and obtains new insights into the inverter propagation delay in nano-CMOS. The projection of a.c. performance of scaled devices is obtained. The statistical variability of electrical characteristics, due to intrinsic parameter fluctuation sources, in contemporary and scaled decananometer MOSFETs is systematically investigated for the first time. The statistical variability sources: random discrete dopants, gate line edge roughness and poly-silicon granularity are simulated, in combination, in an ensemble of microscopically different devices. An increasing trend in the standard deviation of the threshold voltage as a function of scaling is observed. The introduction of high-k/metal gates improves electrostatic integrity and slows this trend. Statistical evaluations of variability in Ion and Ioff as a function of scaling are also performed. For the first time, the impact of strain on statistical variability is studied. Gate line edge roughness results in areas of local channel shortening, accompanied by locally increased strain, both effects increasing the local current. Variations are observed in both the drive current, and in the drive current enhancement normally expected from the application of strain. In addition, the effects of shallow trench isolation (STI) on MOSFET performance and on its statistical variability are investigated for the first time. The inverse-narrow-width effect of STI enhances the current density adjacent to it. This leads to a local enhancement of the influence of junction shapes adjacent to the STI. There is also a statistical impact on the threshold voltage due to random STI induced traps at the silicon/oxide interface

Intrinsic variability of nanoscale CMOS technology for logic and memory.

The continuous downscaling of CMOS technology, the main engine of development of the semiconductor Industry, is limited by factors that become important for nanoscale device size, which undermine proper device operation completely offset gains from scaling. One of the main problems is device variability: nominally identical devices are different at the microscopic level due to fabrication tolerance and the intrinsic granularity of matter. For this reason, structures, devices and materials for the next technology nodes will be chosen for their robustness to process variability, in agreement with the ITRS (International Technology Roadmap for Semiconductors). Examining the dispersion of various physical and geometrical parameters and the effect these have on device performance becomes necessary. In this thesis, I focus on the study of the dispersion of the threshold voltage due to intrinsic variability in nanoscale CMOS technology for logic and for memory. In order to describe this, it is convenient to have an analytical model that allows, with the assistance of a small number of simulations, to calculate the standard deviation of the threshold voltage due to the various contributions

Impact of intrinsic parameter fluctuations in ultra-thin body silicon-on-insulator MOSFET on 6-transistor SRAM cell

As CMOS device dimensions are being aggressively scaled, the device characteristic must be assessed against fundamental physical limits. Nanoscale device modelling and statistical circuit analysis is needed to provide designer with ability to explore innovative new MOSFET devices as well as understanding the limits of the scaling process. This work introduces a systematic simulation methodology to investigate the impact of intrinsic parameter fluctuation for a novel Ultra-Thin-Body (UTB) Silicon-on-Insulator (SOI) transistor on the corresponding device and circuits. It provides essential link between physical device-level numerical simulation and circuit-level simulation. A systematic analysis of the effects of random discrete dopants, body thickness variations and line edge roughness on a well scaled 10 nm, 7.5 nm and 5 nm channel length UTB-SOI MOSFET is performed. To fully realise the performance benefits of UTB-SOI based SRAM cells a statistical circuit simulation methodology which can fully capture intrinsic parameter fluctuations information into the compact model is developed. The impact of intrinsic parameter fluctuations on the stability and performance of 6T SRAM has been investigated. A comparison with the behaviour of a 6T SRAM based on a conventional 35 nm MOSFET is also presented

Fluctuation Sensitivity Map: A Novel Technique to Characterise and Predict Device Behaviour Under Metal Grain Work-Function Variability Effects

A new technique developed for the analysis of intrinsic sources of variability affecting the performance of semiconductor devices is presented. It is based on the creation of a fluctuation sensitivity map (FSM), which supplies spatial information about the source of variability affecting the device performance and reliability, providing useful advice in the development of fluctuation-resistant device architectures. We have applied the FSM to metal grain work-function variations (MGWVs), since they are one of the major contributors to device variability. This technique is computationally very efficient because, once the original FSM is created, it can be used to predict the MGWV for different metal gates or grain sizes (GSs). Two state-of-the-art devices were used as test-models: a 10.7-nm gate length Si FinFET and 10.4-nm gate length In0.53Ga0.47As FinFET. The cross-sectional shape (triangular, rectangular, or bullet), the metal used in the gate (TiN or WN), and the GS (10, 7, and 5 nm) have been used as test scenarios for this technique

An assessment of the statistical distribution of Random Telegraph Noise Time Constants

As transistor sizes are downscaled, a single trapped charge has a larger impact on smaller devices and the Random Telegraph Noise (RTN) becomes increasingly important. To optimize circuit design, one needs assessing the impact of RTN on the circuit and this can only be accomplished if there is an accurate statistical model of RTN. The dynamic Monte Carlo modelling requires the statistical distribution functions of both the amplitude and the capture/emission time (CET) of traps. Early works were focused on the amplitude distribution and the experimental data of CETs were typically too limited to establish their statistical distribution reliably. In particular, the time window used has been often small, e.g. 10 sec or less, so that there are few data on slow traps. It is not known whether the CET distribution extracted from such a limited time window can be used to predict the RTN beyond the test time window. The objectives of this work are three fold: to provide the long term RTN data and use them to test the CET distributions proposed by early works; to propose a methodology for characterizing the CET distribution for a fabrication process efficiently; and, for the first time, to verify the long term prediction capability of a CET distribution beyond the time window used for its extraction

Statistical compact model strategies for nano CMOS transistors subject of atomic scale variability

One of the major limiting factors of the CMOS device, circuit and system simulation in sub 100nm regimes is the statistical variability introduced by the discreteness of charge and granularity of matter. The statistical variability cannot be eliminated by tuning the layout or by tightening fabrication process control. Since the compact models are the key bridge between technology and design, it is necessary to transfer reliably the MOSFET statistical variability information into compact models to facilitate variability aware design practice. The aim of this project is the development of a statistical extraction methodology essential to capture statistical variability with optimum set of parameters particularly in industry standard compact model BSIM. This task is accomplished by using a detailed study on the sensitivity analysis of the transistor current in respect to key parameters in compact model in combination with error analysis of the fitted Id-Vg characteristics. The key point in the developed direct statistical compact model strategy is that the impacts of statistical variability can be captured in device characteristics by tuning a limited number of parameters and keeping the values for remaining major set equal to their default values obtained from the “uniform” MOSFET compact model extraction. However, the statistical compact model extraction strategies will accurately represent the distribution and correlation of the electrical MOSFET figures of merit. Statistical compact model parameters are generated using statistical parameter generation techniques such as uncorrelated parameter distributions, principal component analysis and nonlinear power method. The accuracy of these methods is evaluated in comparison with the results obtained from ‘atomistic’ simulations. The impact of the correlations in the compact model parameters has been analyzed along with the corresponding transistor figures of merit. The accuracy of the circuit simulations with different statistical compact model libraries has been studied. Moreover, the impact of the MOSFET width/length on the statistical trend of the optimum set of statistical compact model parameters and electrical figures of merit has been analyzed with two methods to capture geometry dependencies in proposed statistical models

Scaling and intrinsic parameter fluctuations in nanoCMOS devices

The core of this thesis is a thorough investigation of the scaling properties of conventional nano-CMOS MOSFETs, their physical and operational limitations and intrinsic parameter fluctuations. To support this investigation a well calibrated 35 nm physical gate length real MOSFET fabricated by Toshiba was used as a reference transistor. Prior to the start of scaling to shorter channel lengths, the simulators were calibrated against the experimentally measured characteristics of the reference device. Comprehensive numerical simulators were then used for designing the next five generations of transistors that correspond to the technology nodes of the latest International Technology Roadmap for Semiconductors (lTRS). The scaling of field effect transistors is one of the most widely studied concepts in semiconductor technology. The emphases of such studies have varied over the years, being dictated by the dominant issues faced by the microelectronics industry. The research presented in this thesis is focused on the present state of the scaling of conventional MOSFETs and its projections during the next 15 years. The electrical properties of conventional MOSFETs; threshold voltage (VT), subthreshold slope (S) and on-off currents (lon, Ioffi ), which are scaled to channel lengths of 35, 25, 18, 13, and 9 nm have been investigated. In addition, the channel doping profile and the corresponding carrier mobility in each generation of transistors have also been studied and compared. The concern of limited solid solubility of dopants in silicon is also addressed along with the problem of high channel doping concentrations in scaled devices. The other important issue associated with the scaling of conventional MOSFETs are the intrinsic parameter fluctuations (IPF) due to discrete random dopants in the inversion layer and the effects of gate Line Edge Roughness (LER). The variations of the three important MOSFET parameters (loff, VT and Ion), induced by random discrete dopants and LER have been comprehensively studied in the thesis. Finally, one of the promising emerging CMOS transistor architectures, the Ultra Thin Body (UTB) SOl MOSFET, which is expected to replace the conventional MOSFET, has been investigated from the scaling point of view

Modelling and simulation study of NMOS Si nanowire transistors

Nanowire transistors (NWTs) represent a potential alternative to Silicon FinFET technology in the 5nm CMOS technology generation and beyond. Their gate length can be scaled beyond the limitations of FinFET gate length scaling to maintain superior off-state leakage current and performance thanks to better electrostatic control through the semiconductor nanowire channels by gate-all-around (GAA) architecture. Furthermore, it is possible to stack nanowires to enhance the drive current per footprint. Based on these considerations, vertically-stacked lateral NWTs have been included in the latest edition of the International Technology Roadmap for Semiconductors (ITRS) to allow for further performance enhancement and gate pitch scaling, which are key criteria of merit for the new CMOS technology generation. However, electrostatic confinement and the transport behaviour in these devices are more complex, especially in or beyond the 5nm CMOS technology generation. At the heart of this thesis is the model-based research of aggressively-scaled NWTs suitable for implementation in or beyond the 5nm CMOS technology generation, including their physical and operational limitations and intrinsic parameter fluctuations. The Ensemble Monte Carlo approach with Poisson-Schrödinger (PS) quantum corrections was adopted for the purpose of predictive performance evaluation of NWTs. The ratio of the major to the minor ellipsoidal cross-section axis (cross-sectional aspect ratio - AR) has been identified as a significant contributing factor in device performance. Until now, semiconductor industry players have carried out experimental research on NWTs with two different cross-sections: circular cylinder (or elliptical) NWTs and nanosheet (or nanoslab) NWTs. Each version has its own benefits and drawbacks; however, the key difference between these two versions is the cross-sectional AR. Several critical design questions, including the optimal NWT cross-sectional aspect ratio, remain unanswered. To answer these questions, the AR of a GAA NWT has been investigated in detail in this research maintaining the cross-sectional area constant. Signatures of isotropic charge distributions within Si NWTs were observed, exhibiting the same attributes as the golden ratio (Phi), the significance of which is well-known in the fields of art and architecture. To address the gap in the existing literature, which largely explores NWT scaling using single-channel simulation, thorough simulations of multiple channels vertically-stacked NWTs have been carried out with different cross-sectional shapes and channel lengths. Contact resistance, non-equilibrium transport and quantum confinement effects have been taken into account during the simulations in order to realistically access performance and scalability. Finally, the individual and combined effects of key statistical variability (SV) sources on threshold voltage (VT), subthreshold slope (SS), ON-current (Ion) and drain-induced barrier lowering (DIBL) have been simulated and discussed. The results indicate that the variability of NWTs is impacted by device architecture and dimensions, with a significant reduction in SV found in NWTs with optimal aspect ratios. Furthermore, a reduction in the variability of the threshold voltage has been observed in vertically-stacked NWTs due to the cancelling-out of variability in double and triple lateral channel NWTs