37 research outputs found

    Design Of Silicon Controlled Rectifers Sic] For Robust Electrostatic Discharge Protection Applications

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    Electrostatic Discharge (ESD) phenomenon happens everywhere in our daily life. And it can occurs through the whole lifespan of an Integrated Circuit (IC), from the early wafer fabrication process, extending to assembly operation, and finally ending at the user‟s site. It has been reported that up to 35% of total IC field failures are ESD-induced, with estimated annual costs to the IC industry running to several billion dollars. The most straightforward way to avoid the ICs suffering from the threatening of ESD damages is to develop on-chip ESD protection circuits which can afford a robust, low-impedance bypassing path to divert the ESD current to the ground. There are three different types of popular ESD protection devices widely used in the industry, and they are diodes or diodes string, Grounded-gate NMOS (GGNMOS) and Silicon Controlled Rectifier (SCR). Among these different protection solutions, SCR devices have the highest ESD current conduction capability due to the conductivity modulation effect. But SCR devices also have several shortcomings such as the higher triggering point, the lower clamping voltage etc, which will become obstacles for SCR to be widely used as an ESD protection solutions in most of the industry IC products. At first, in some applications with pin voltage goes below ground or above the VDD, dual directional protection between each two pins are desired. The traditional dual-directional SCR structures will consume a larger silicon area or lead to big leakage current issue due to the happening of punch-through effect. A new and improved SCR structure for low-triggering ESD iv applications has been proposed in this dissertation and successfully realized in a BiCMOS process. Such a structure possesses the desirable characteristics of a dual-polarity conduction, low trigger voltage, small leakage current, large failing current, adjustable holding voltage, and compact size. Another issue with SCR devices is its deep snapback or lower holding voltage, which normally will lead to the latch-up happen. To make SCR devices be immunity with latch-up, it is required to elevate its holding voltage to be larger than the circuits operational voltage, which can be several tens volts in modern power electronic circuits. Two possible solutions have been proposed to resolve this issue. One solution is accomplished by using a segmented emitter topology based on the concept that the holding voltage can be increased by reducing the emitter injection efficiency. Experimental data show that the new SCR can posses a holding voltage that is larger than 40V and a failure current It2 that is higher than 28mA/um. The other solution is accomplished by stacking several low triggering voltage high holding voltage SCR cells together. The TLP measurement results show that this novel SCR stacking structure has an extremely high holding voltage, very small snapback, and acceptable failure current. The High Holding Voltage Figure of Merit (HHVFOM) has been proposed to be a criterion for different high holding voltage solutions. The HHVFOM comparison of our proposed structures and the existing high holding voltage solutions also show the advantages of our work

    Low-C ESD Protection Design in CMOS Technology

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    CDM Robust & Low Noise ESD protection circuits

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    In spite of significant progress during last couple of decades, ESD still affects production yields, manufacturing costs, product quality, product reliability and profitability. The objective of an ESD protection circuit is to create a harmless shunting path for the static electricity before it damages the sensitive electronic circuits. As the devices are scaling down, while ESD energy remains the same, VLSIs are becoming more vulnerable to ESD stress. This higher susceptibility to ESD damage is due to thinner gate oxides and shallower junctions. Furthermore, higher operating frequency of the scaled technologies enforces lower parasitic capacitance of the ESD protection circuits. Hence, increasing the robustness of the ESD protection circuits with minimum additional parasitic capacitance is the main challenge in state of the art CMOS processes. Furthermore with scaling, the integration of analog blocks such as ADC, PLL’s, DLL’s, oscillator etc. on digital chips has provided cheap system on chip (SOC) solutions. However, when analog and digital chip are combined into single mixed-signal chip, on-chip noise coupling from the digital to the analog circuitry through ESD protection circuits becomes a big concern. Thus, increasing supply noise isolation while ensuring the ESD protection robustness is also a big challenge. In this thesis, several ESD protection circuits and devices have been proposed to address the critical issues like increased leakage current, slower turn-on time of devices, increased susceptibility to power supply isolation etc. The proposed ESD protection circuits/devices have been classified into two categories: Pad based ESD protection in which the ESD protection circuits are placed in the I/O pads, and Rail based ESD in which ESD protection circuit is placed between power supplies. In our research, both these aspects have been investigated. The Silicon Controlled Rectifier (SCR) based devices have been used for Pad ESD protection as they have highest ESD protection level per unit area. Two novel devices Darlington based SCR (DSCR) and NMOS Darlington based SCR (NMOS-DSCR) having faster turn-on time, lower first breakdown voltage and low capacitance have been proposed. The transient clamps have been investigated and optimized for Rail based ESD protection. In this research, we have addressed the issue of leakage current in transient clamps. A methodology has been purposed to reduce the leakage current by more than 200,000 times without having major impact on the ESD performance. Also, the issue of noise coupling from digital supply to analog supply through the ESD protection circuits has been addressed. A new transient clamp has been proposed to increase the power supply noise isolation. Finally, a new methodology of placement of analog circuit with respect to transient clamp has been proposed to further increase the power supply noise isolation

    Design, Characterization and Analysis of Component Level Electrostatic Discharge (ESD) Protection Solutions

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    Electrostatic Discharges (ESD) is a significant hazard to electronic components and systems. Based on a specific process technology, a given circuit application requires a customized ESD consideration that meets all the requirements such as the core circuit\u27s operating condition, maximum accepted leakage current, breakdown conditions for the process and overall device sizes. In every several years, there will be a new process technology becomes mature, and most of those new technology requires custom design of effective ESD protection solution. And usually the design window will shrinks due to the evolving of the technology becomes smaller and smaller. The ESD related failure is a major IC reliability concern and results in a loss of millions dollars each year in the semiconductor industry. To emulate the real word stress condition, several ESD stress models and test methods have been developed. The basic ESD models are Human Body model (HBM), Machine Mode (MM), and Charge Device Model (CDM). For the system-level ESD robustness, it is defined by different standards and specifications than component-level ESD requirements. International Electrotechnical Commission (IEC) 61000-4-2 has been used for the product and the Human Metal Model (HMM) has been used for the system at the wafer level. Increasingly stringent design specifications are forcing original equipment manufacturers (OEMs) to minimize the number of off-chip components. This is the case in emerging multifunction mobile, industrial, automotive and healthcare applications. It requires a high level of ESD robustness and the integrated circuit (IC) level, while finding ways to streamline the ESD characterization during early development cycle. To enable predicting the ESD performance of IC\u27s pins that are directly exposed to a system-level stress condition, a new the human metal model (HMM) test model has been introduced. In this work, a new testing methodology for product-level HMM characterization is introduced. This testing framework allows for consistently identifying ESD-induced failures in a product, substantially simplifying the testing process, and significantly reducing the product evaluation time during development cycle. It helps eliminates the potential inaccuracy provided by the conventional characterization methodology. For verification purposes, this method has been applied to detect the failures of two different products. Addition to the exploration of new characterization methodology that provides better accuracy, we also have looked into the protection devices itself. ICs for emerging high performance precision data acquisition and transceivers in industrial, automotive and wireless infrastructure applications require effective and ESD protection solutions. These circuits, with relatively high operating voltages at the Input/Output (I/O) pins, are increasingly being designed in low voltage Complementary Metal-Oxide-Semiconductor (CMOS) technologies to meet the requirements of low cost and large scale integration. A new dual-polarity SCR optimized for high bidirectional blocking voltages, high trigger current and low capacitance is realized in a sub 3-V, 180-nm CMOS process. This ESD device is designed for a specific application where the operating voltage at the I/O is larger than that of the core circuit. For instance, protecting high voltage swing I/Os in CMOS data acquisition system (DAS) applications. In this reference application, an array of thin film resistors voltage divider is directly connected to the interface pin, reducing the maximum voltage that is obtained at the core device input down to ± 1-5 V. Its ESD characteristics, including the trigger voltage and failure current, are compared against those of a typical CMOS-based SCR. Then, we have looked into the ESD protection designs into more advanced technology, the 28-nm CMOS. An ESD protection design builds on the multiple discharge-paths ESD cell concept and focuses the attention on the detailed design, optimization and realization of the in-situ ESD protection cell for IO pins with variable operation voltages. By introducing different device configurations fabricated in a 28-nm CMOS process, a greater flexibility in the design options and design trade-offs can be obtained in the proposed topology, thus achieving a higher integration and smaller cell size definition for multi-voltage compatibility interface ESD protection applications. This device is optimized for low capacitance and synthesized with the circuit IO components for in-situ ESD protection in communication interface applications developed in a 28-nm, high-k, and metal-gate CMOS technology. ESD devices have been used in different types of applications and also at different environment conditions, such as high temperature. At the last section of this research work, we have performed an investigation of several different ESD devices\u27 performance under various temperature conditions. And it has been shown that the variations of the device structure can results different ESD performance, and some devices can be used at the high temperature and some cannot. And this investigation also brings up a potential threat to the current ESD protection devices that they might be very vulnerable to the latch-up issue at the higher temperature range

    Electrostatic discharge protection circuit for high-speed mixed-signal circuits

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    ESD, the discharge of electrostatically generated charges into an IC, is one of the most important reliability problems for ultra-scaled devices. This electrostatic charge can generate voltages of up to tens of kilovolts. These very high voltages can generate very high electric fields and currents across semiconductor devices, which may result in dielectric damage or melting of semiconductors and contacts. It has been reported that up to 70% of IC failures are caused by ESD. Therefore, it’s necessary to design a protection circuit for each pin that discharges the ESD energy to the ground. As the devices are continuously scaling down, while ESD energy remains the same, they become more vulnerable to ESD stress. This higher susceptibility to ESD damage is due to thinner gate oxides and shallower junctions. Furthermore, higher operating frequency of the scaled technologies enforces lower parasitic capacitance of the ESD protection circuits. As a result, increasing the robustness of the ESD protection circuits with minimum additional parasitic capacitance is the main challenge in state of the art CMOS processes. Providing a complete ESD immunity for any circuit involves the design of proper protection circuits for I/O pins in addition to an ESD clamp between power supply pins. In this research both of these aspects are investigated and optimized solutions for them are reported. As Silicon Controlled Rectifier (SCR) has the highest ESD protection level per unit area, ESD protection for I/O pins is provided by optimizing the first breakdown voltage and latch-up immunity of SCR family devices. The triggering voltage of SCR is reduced by a new implementation of gate-substrate triggering technique. Furthermore, a new device based on SCR with internal darlington pair is introduced that can provide ESD protection with very small parasitic capacitance. Besides reducing triggering voltage, latch-up immunity of SCR devices is improved using two novel techniques to increase the holding voltage and the holding current. ESD protection between power rails is provided with transient clamps in which the triggering circuit keeps the clamp “on” during the ESD event. In this research, two new clamps are reported that enhance the triggering circuit of the clamp. The first method uses a CMOS thyristor element to provide enough delay time while the second method uses a flip flop to latch the clamp into “on” state at the ESD event. Moreover, the stability of transient clamps is analyzed and it’s been shown that the two proposed clamps have the highest stability compared to other state of the art ESD clamps. Finally, in order to investigate the impact of ESD protection circuits on high speed applications a current mode logic (CML) driver is designed in 0.13μm CMOS technology. The protection for this driver is provided using both MOS-based and SCR-based protection methods. Measurement results show that, compared to MOS-based protection, SCR-based protection has less impact on the driver performance due to its lower parasitic capacitance

    Design And Characterization Of Noveldevices For New Generation Of Electrostaticdischarge (esd) Protection Structures

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    The technology evolution and complexity of new circuit applications involve emerging reliability problems and even more sensitivity of integrated circuits (ICs) to electrostatic discharge (ESD)-induced damage. Regardless of the aggressive evolution in downscaling and subsequent improvement in applications\u27 performance, ICs still should comply with minimum standards of ESD robustness in order to be commercially viable. Although the topic of ESD has received attention industry-wide, the design of robust protection structures and circuits remains challenging because ESD failure mechanisms continue to become more acute and design windows less flexible. The sensitivity of smaller devices, along with a limited understanding of the ESD phenomena and the resulting empirical approach to solving the problem have yielded time consuming, costly and unpredictable design procedures. As turnaround design cycles in new technologies continue to decrease, the traditional trial-and-error design strategy is no longer acceptable, and better analysis capabilities and a systematic design approach are essential to accomplish the increasingly difficult task of adequate ESD protection-circuit design. This dissertation presents a comprehensive design methodology for implementing custom on-chip ESD protection structures in different commercial technologies. First, the ESD topic in the semiconductor industry is revised, as well as ESD standards and commonly used schemes to provide ESD protection in ICs. The general ESD protection approaches are illustrated and discussed using different types of protection components and the concept of the ESD design window. The problem of implementing and assessing ESD protection structures is addressed next, starting from the general discussion of two design methods. The first ESD design method follows an experimental approach, in which design requirements are obtained via fabrication, testing and failure analysis. The second method consists of the technology computer aided design (TCAD)-assisted ESD protection design. This method incorporates numerical simulations in different stages of the ESD design process, and thus results in a more predictable and systematic ESD development strategy. Physical models considered in the device simulation are discussed and subsequently utilized in different ESD designs along this study. The implementation of new custom ESD protection devices and a further integration strategy based on the concept of the high-holding, low-voltage-trigger, silicon controlled rectifier (SCR) (HH-LVTSCR) is demonstrated for implementing ESD solutions in commercial low-voltage digital and mixed-signal applications developed using complementary metal oxide semiconductor (CMOS) and bipolar CMOS (BiCMOS) technologies. This ESD protection concept proposed in this study is also successfully incorporated for implementing a tailored ESD protection solution for an emerging CMOS-based embedded MicroElectroMechanical (MEMS) sensor system-on-a-chip (SoC) technology. Circuit applications that are required to operate at relatively large input/output (I/O) voltage, above/below the VDD/VSS core circuit power supply, introduce further complications in the development and integration of ESD protection solutions. In these applications, the I/O operating voltage can extend over one order of magnitude larger than the safe operating voltage established in advanced technologies, while the IC is also required to comply with stringent ESD robustness requirements. A practical TCAD methodology based on a process- and device- simulation is demonstrated for assessment of the device physics, and subsequent design and implementation of custom P1N1-P2N2 and coupled P1N1-P2N2//N2P3-N3P1 silicon controlled rectifier (SCR)-type devices for ESD protection in different circuit applications, including those applications operating at I/O voltage considerably above/below the VDD/VSS. Results from the TCAD simulations are compared with measurements and used for developing technology- and circuit-adapted protection structures, capable of blocking large voltages and providing versatile dual-polarity symmetric/asymmetric S-type current-voltage characteristics for high ESD protection. The design guidelines introduced in this dissertation are used to optimize and extend the ESD protection capability in existing CMOS/BiCMOS technologies, by implementing smaller and more robust single- or dual-polarity ESD protection structures within the flexibility provided in the specific fabrication process. The ESD design methodologies and characteristics of the developed protection devices are demonstrated via ESD measurements obtained from fabricated stand-alone devices and on-chip ESD protections. The superior ESD protection performance of the devices developed in this study is also successfully verified in IC applications where the standard ESD protection approaches are not suitable to meet the stringent area constraint and performance requirement

    Electrostatic Discharge Protection Device for Digital Circuits and for Applications with Input/Output Bipolar Voltage Much Higher than the Core Circuit Power Supply

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    An electrostatic discharge (ESD) device and method is provided. The ESD device can comprise a substrate doped to a first conductivity type, an epitaxial region doped to the second conductivity type, and a first well doped to the first conductivity type disposed in the substrate. The first well can comprise a first region doped to the first conductivity type, a second region doped to a second conductivity type, and a first isolation region disposed between the first region and the second region. The ESD device can also comprise a second well doped to a second conductivity type disposed in the substrate adjacent to the first well, where the second well can comprise a third region doped to the first conductivity type, a fourth region doped to the second conductivity type, and a second isolation region disposed between the third region and the fourth region. Still further, the ESD device can include a first trigger contact and second trigger contact comprising highly doped regions of eith

    On-chip Electro-static Discharge (esd) Protection For Radio-frequency Integrated Circuits

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    Electrostatic Discharge (ESD) phenomenon is a common phenomenon in daily life and it could damage the integrated circuit throughout the whole cycle of product from the manufacturing. Several ESD stress models and test methods have been used to reproduce ESD events and characterize ESD protection device\u27s performance. The basic ESD stress models are: Human Body Model (HBM), Machine Model (MM), and Charged Device Model (CDM). On-chip ESD protection devices are widely used to discharge ESD current and limit the overstress voltage under different ESD events. Some effective ESD protection devices were reported for low speed circuit applications such as analog ICs or digital ICs in CMOS process. On the contrast, only a few ESD protection devices available for radio frequency integrated circuits (RF ICs). ESD protection for RF ICs is more challenging than traditional low speed CMOS ESD protection design because of the facts that: (1) Process limitation: High-performance RF ICs are typically fabricated in compound semiconductor process such as GaAs pHEMT and SiGe HBT process. And some proved effective ESD devices (e.g. SCR) are not able to be fabricated in those processes due to process limitation. Moreover, compound semiconductor process has lower thermal conductivity which will worsen its ESD damage immunity. (2) Parasitic capacitance limitation: Even for RF CMOS process, the inherent parasitic capacitance of ESD protection devices is a big concern. Therefore, this dissertation will contribute on ESD protection designs for RF ICs in all the major processes including GaAs pHEMT, SiGe BiCMOS and standard CMOS. iv The ESD protection for RF ICs in GaAs pHEMT process is very difficult, and the typical HBM protection level is below 1-kV HBM level. The first part of our work is to analyze pHEMT\u27s snapback, post-snapback saturation and thermal failure under ESD stress using TLP-like Sentaurus TCAD simulation. The snapback is caused by virtual bipolar transistor due to large electron-hole pairs impacted near drain region. Postsnapback saturation is caused by temperature-induced mobility degradation due to IIIV compound semiconductor materials\u27 poor thermal conductivity. And thermal failure is found to be caused by hot spot located in pHEMT\u27s InGaAs layer. Understanding of these physical mechanisms is critical to design effective ESD protection device in GaAs pHEMT process. Several novel ESD protection devices were designed in 0.5um GaAs pHEMT process. The multi-gate pHEMT based ESD protection devices in both enhancementmode and depletion-mode were reported and characterized then. Due to the multiple current paths available in the multi-gate pHEMT, the new ESD protection clamp showed significantly improved ESD performances over the conventional single-gate pHEMT ESD clamp, including higher current discharge capability, lower on-state resistance, and smaller voltage transient. We proposed another further enhanced ESD protection clamp based on a novel drain-less, multi-gate pHEMT in a 0.5um GaAs pHEMT technology. Based on Barth 4002 TLP measurement results, the ESD protection devices proposed in this chapter can improve the ESD level from 1-kV (0.6 A It2) to up to 8-kV ( \u3e 5.2 A It2) under HBM. v Then we optimized SiGe-based silicon controlled rectifiers (SiGe SCR) in SiGe BiCMOS process. SiGe SCR is considered a good candidate ESD protection device in this process. But the possible slow turn-on issue under CDM ESD events is the major concern. In order to optimize the turn-on performance of SiGe SCR against CDM ESD, the Barth 4012 very fast TLP (vfTLP) and vfTLP-like TCAD simulation were used for characterization and analysis. It was demonstrated that a SiGe SCR implemented with a P PLUG layer and minimal PNP base width can supply the smallest peak voltage and fastest response time which is resulted from the fact that the impact ionization region and effective base width in the SiGe SCR were reduced due to the presence of the P PLUG layer. This work demonstrated a practical approach for designing optimum ESD protection solutions for the low-voltage/radio frequency integrated circuits in SiGe BiCMOS process. In the end, we optimized SCRs in standard silicon-based CMOS process to supply protection for high speed/radio-frequency ICs. SCR is again considered the best for its excellent current handling ability. But the parasitic capacitance of SCRs needs to be reduced to limit SCR\u27s impact to RF performance. We proposed a novel SCR-based ESD structure and characterize it experimentally for the design of effective ESD protection in high-frequency CMOS based integrated circuits. The proposed SCR-based ESD protection device showed a much lower parasitic capacitance and better ESD performance than the conventional SCR and a low-capacitance SCR reported in the literature. The physics underlying the low capacitance was explained by measurements using HP 4284 capacitance meter. vi Throughout the dissertation work, all the measurements are mainly conducted using Barth 4002 transimission line pulsing (TLP) and Barth 4012 very fast transmission line pulsing (vfTLP) testers. All the simulation was performed using Sentaurus TCAD tool from Synopsys

    Low-Leakage ESD Power Supply Clamps in General Purpose 65 nm CMOS Technology

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    Electrostatic discharge (ESD) is a well-known contributor that reduces the reliability and yield of the integrated circuits (ICs). As ICs become more complex, they are increasingly susceptible to such failures due to the scaling of physical dimensions of devices and interconnect on a chip [1]. These failures are caused by excessive electric field and/or excessive current densities and result in the dielectric breakdown, electromigration of metal lines and contacts. ESD can affect the IC in its different life stages, from wafer fabrication process to failure in the field. Furthermore, ESD events can damage the integrated circuit permanently (hard failure), or cause a latent damage (soft failure) [2]. ESD protection circuits consisting of I/O protection and ESD power supply clamps are routinely used in ICs to protect them against ESD damage. The main objective of the ESD protection circuit is to provide a low-resistive discharge path between any two pins of the chip to harmlessly discharge ESD energy without damaging the sensitive circuits. The main target of this thesis is to design ESD power supply clamps that have the lowest possible leakage current without degrading the ESD protection ability in general purpose TSMC 65 nm CMOS technology. ESD clamps should have a very low-leakage current and should be stable and immune to the power supply noise under the normal operating conditions of the circuit core. Also, the ESD clamps must be able to handle high currents under an ESD event. All designs published in the general purpose 65 nm CMOS technology have used the SCR as the clamping element since the SCR has a higher current carrying capability compared to an MOS transistor of the same area [3]. The ESD power supply clamp should provide a low-resistive path in both directions to be able to deal with both PSD and NDS zapping modes. The SCR based design does not provide the best ESD protection for the NDS zapping mode (positive ESD stress at VSS with grounded VDD node) since it has two parasitic resistances (RNwell and RPsub) and one parasitic diode (the collector to base junction diode of the PNP transistor) in the path from the VSS to VDD. Furthermore, SCR-based designs are not suitable for application that exposed to hot switching or ionizing radiation [2]. In GP process, the gate oxide thickness of core transistors is reduced compared with LP process counterpart to achieve higher performance designs for high-frequency applications using 1 V core transistors and 2.5 V I/O option. The thinner gate oxide layer results in higher leakage current due to gate tunneling [4]. Therefore, using large thin oxide MOS transistors as clamping elements will result in a huge leakage. In this thesis, four power supply ESD clamps are proposed in which thick oxide MOS transistors are used as the main clamping element. Therefore, the low-leakage current feature is achieved without significantly degrading the ESD performance. In addition, the parasitic diode of the MOS transistors provides the protection against NSD-mode. In this thesis, two different ESD power supply clamp architectures are proposed: standalone ESD power supply clamps and hybrid ESD power supply clamps. Two standalone clamps are proposed: a transient PMOS based ESD clamp with thyristor delay element (PTC), and a static diode triggered power supply (DTC). The standalone clamps were designed to protect the circuit core against ±125 V CDM stress by limiting the voltage between the two power rails to less than the oxide breakdown voltage of the core transistors, BVOXESD = 5 V. The large area of this architecture was the price for maintaining the low-leakage current and an adequate ESD protection. The hybrid clamp architecture was proposed to provide a higher ESD protection, against ±300 V CDM stress, while reducing the layout area and maintaining the low-leakage feature. In the hybrid clamp structure, two clamps are connected in parallel between the two power supply rails, a static clamp, and a transient clamp. The static clamp triggers first and starts to sink the ESD energy and then an RC network triggers the primary transient clamp to sink most of the ESD stress. Two hybrid designs were proposed: PMOS ESD power supply clamp with thyristor delay element and diodes (PTDC), and NMOS ESD power supply clamp with level shifter delay element and diode (NLDC). Simulation results show that the proposed clamps are capable of protecting the circuit core against ±1.5 kV HBM and at least against ±125 V CDM stresses. The measurement results show that all of the proposed clamps are immune against false triggering, and transient induced latch-up. Furthermore, all four designs have responded favorably to the 4 V ESD-like pulse voltage under both chip powered and not powered conditions and after the stress ends the designs turned off. Finally, TLP measurement results show that all four proposed designs meet the minimum design requirement of the ESD protection circuit in the 65 nm CMOS technology (i.e. HBM protection level of ±1.5 kV )

    Electrostatic Discharge

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    As we enter the nanoelectronics era, electrostatic discharge (ESD) phenomena is an important issue for everything from micro-electronics to nanostructures. This book provides insight into the operation and design of micro-gaps and nanogenerators with chapters on low capacitance ESD design in advanced technologies, electrical breakdown in micro-gaps, nanogenerators from ESD, and theoretical prediction and optimization of triboelectric nanogenerators. The information contained herein will prove useful for for engineers and scientists that have an interest in ESD physics and design
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