An analytical threshold voltage and subthreshold current model forshort-channel MESFETs

Short-channel effects on the subthreshold behavior are modeled in self-aligned gate MESFETs with undoped substrates through an analytical solution of the two-dimensional Poisson equation in the subthreshold region. Based on the resultant potential solution, simple and accurate analytical expressions for short-channel threshold voltage, subthreshold swing, and subthreshold drain current are derived. These are then used to develop an expression for minimum acceptable channel length. A comparative study of the short-channel effects in MESFETs with doped and undoped substrates indicates that channel lengths will be limited to 0.15-0.2 μm by subthreshold conduction. Besides offering insight into the device physics of the short-channel effects in MESFETs, the model provides a useful basis for accurate analysis and simulation of small-geometry GaAs MESFET digital circuits     

Simulation and two-dimensional analytical modeling of subthresholdslope in ultrathin-film SOI MOSFETs down to 0.1 μm gate length

The subthreshold slope in ultra-thin-film fully depleted SOI MOSFETs is investigated for channel lengths from the long channel region down to 0.1 μm. A doping effect is found which allows improvement of the S-factor by increasing the channel doping concentration. In order to explain this phenomenon and to clarify the mechanism of S -factor degradation at short gate lengths, a two-dimensional analytical model is developed. A modified boundary condition for the two-dimensional Poisson equation is introduced to account for the nonlinear potential distribution inside the buried oxide. It is found that the S-factor short-channel degradation is governed by three mechanisms: the rise of capacitances at the channel source and drain ends due to the two-dimensional potentional distribution; the subthreshold current flow at the back channel surface; and the modulation of the effective current channel thickness during the gate voltage swing in the subthreshold region. The analytical model results are compared to those of numerical device simulation, and a good agreement is found     

An analytical threshold voltage and subthreshold current model forshort-channel AlGaAs/GaAs MODFETs

Short-channel effects on the subthreshold behavior are modeled in self-aligned gate AlGaAs/GaAs MODFETs through an analytical solution of the two-dimensional Poisson equation in the subthreshold region. Based on the resultant potential solution, simple and accurate analytical expressions for short-channel threshold voltage, subthreshold swing, and subthreshold drain current are derived. These are then used to develop an expression for minimum acceptable channel length. A comparative study of short-channel effects in enhancement-mode MODFETs with and without i-AlGaAs spacer layers indicates that channel lengths will be limited to 0.18-0.25 μm by subthreshold conduction. Minimum gate lengths for MODFETs with a spacer layer are notably larger than those without a spacer layer. Besides offering insights into the physics of short-channel effects in MODFETs, the model provides a useful basis for efficient design, analysis, and simulation of small geometry AlGaAs/GaAs MODFET digital circuits     

Two-dimensional analytical modeling of threshold voltages of short-channel MOSFET's

We present an analytical model of the threshold voltage of a short-channel MOSFET based on an explicit solution of two-dimensional Poisson's equation in the depletion region under the gate. This model predicts an exponential dependence on channel length (L), a linear dependence on drain voltage (VD), and an inverse dependence on oxide capacitance (εox/tox). An attractive feature of this model is that it provides an analytical closed-form expression for the threshold voltage as a function of material and device parameters (tox, VD, L, substrate bias, and substrate doping concentration) without making premature approximations. Also, this expression reduces to the corresponding expression for long-channel devices.     

Subthreshold surface potential and drain current models for short-channel pocket-implanted MOSFETs

An analytical subthreshold surface potential model for short-channel pocket-implanted (double-halo) MOSFET is presented. The effect of the depletion layers around the source and drain junctions on channel depletion layer depth, which is very important for short-channel devices, is included. Using this surface potential, a drift-diffusion based analytical subthreshold drain current model for short-channel pocket-implanted MOSFETs is also proposed. A physically-based empirical modification of the channel conduction layer thickness that was originally proposed for relatively long-channel conventional device is made for such short-channel double-halo devices. Very good agreement for both the surface potential and drain current is observed between the model calculation and the prediction made by the 2-D numerical device simulation using Dessis.     

Semi-Analytical Modeling of Short-Channel Effects in Si and Ge Symmetrical Double-Gate MOSFETs

A simple analytical expression of the 2-D potential distribution along the channel of silicon symmetrical double-gate (DG) MOSFETs in weak inversion is derived. The analytical solution of the potential distribution is compared with the numerical solution of the 2-D Poisson's equation in terms of the channel length L, the silicon thickness t _Si, and the gate oxide thickness t _OX. The obtained results show that the analytical solution describes, with good accuracy, the potential distribution along the channel at different positions from the gate interfaces for well-designed devices when the ratio of L/t _Si is ges 2-3. Based on the 2-D extra potential induced in the silicon film due to short-channel effects (SCEs), a semi-analytical expression for the subthreshold drain current of short-channel devices is derived. From the obtained subthreshold characteristics, the extracted device parameters of the subthreshold slope, drain-induced barrier lowering, and threshold voltage are discussed. Application of the proposed model to devices with silicon replaced by germanium demonstrates that the germanium DG MOSFETs are more prone to SCEs.     

A new method for extracting the counter-implanted channel profileof enhancement-mode p-MOSFETs

A new methodology is proposed to extract the nonuniform channel doping profile of enhancement mode p-MOSFETs with counter implantation, based on the relationship between device threshold voltage and substrate bias. A selfconsistent mathematical analysis is developed to calculate the threshold voltage and the surface potential of counter-implanted long-channel p-MOSFET at the onset of heavy inversion. Comparisons between analytic calculation and two-dimensional (2-D) numerical analysis have been made and the accuracy of the developed analytic model has been verified. Based on the developed analytic model, an automated extraction technique has been successfully implemented to extract the channel doping profile. With the aid of a 2-D numerical simulator, the subthreshold current can be obtained by the extracted channel doping profile. Good agreements have been found with measured subthreshold characteristics for both long- and short-channel devices. This new extraction methodology can be used for precise process monitoring and device optimization purposes     

Subthreshold conduction in MOSFET's

The dependence of channel current in subthreshold operation upon drain, gate, and substrate voltages is formulated in terms of a simple model. The basic results are consistent with earlier approaches for long-channel devices. For short-channel devices, the variation of current with drain voltage up to the punch-through voltage is accurately described. The threshold voltage of a short-channel device as a function of applied voltages follows as a natural result of the derivation. Results are presented which confirm the theory over a wide range of drain and gate voltages. With the application of substrate bias it is concluded from the data and the theory that two-dimensional effects can cause dramatic increases in the drain conductance.     

Analytical model for subthreshold current and subthreshold swing of short-channel double-material-gate MOSFETs with strained-silicon channel on silicon-germanium substrates

The present work gives some insight into the subthreshold behaviour of short-channel double-material-gate strained-silicon on silicon-germanium MOSFETs in terms of subthreshold swing and off-current. The formulation of subthreshold current and, thereupon, the subthreshold swing have been done by exploiting the expression of potential distribution in the channel region of the device. The dependence of the subthreshold characteristics on the device parameters, such as Ge mole fraction, gate length ratio, work function of control gate metal and gate length, has been tested in detail. The analytical models have been validated by the numerical simulation results that were obtained from the device simulation software ATLAS^TM by Silvaco Inc.     

对称三材料双栅应变硅MOSFET亚阈值电流与亚阈值斜率解析模型

基于泊松方程和边界条件,推导了对称三材料双栅应变硅金属氧化物半导体场效应晶体管（MOSFET：metal oxide semiconductor field effect transistor）的表面势解析解.利用扩散-漂移理论,在亚阈值区电流密度方程的基础上,提出了亚阈值电流与亚阈值斜率二维解析模型.分析了沟道长度、功函数差、弛豫SiGe层的Ge组份、栅介质层的介电常数、应变硅沟道层厚度、栅介质高k层厚度和沟道掺杂浓度等参数对亚阈值性能的影响,并对亚阈值性能改进进行了分析研究.研究结果为优化器件参数提供了有意义的指导.模型解析结果与DESSIS仿真结果吻合较好.     

Pocket implantation effect on drain current flicker noise in analog nMOSFET devices

The pocket implantation effect on drain current flicker noise in 0.13 /spl mu/m CMOS process based high performance analog nMOSFETs is investigated. Our result shows that pocket implantation will significantly degrade device low-frequency noise primarily because of nonuniform threshold voltage distribution along the channel. An analytical flicker noise model to account for a pocket doping effect is proposed. In our model, the local threshold voltage and the width of the pocket implant region are extracted from the measured reverse short-channel effect, and the oxide trap density is extracted from a long-channel device. Good agreement between our model and the measurement result is obtained without other fitting parameters.     

A comprehensive study of indium implantation-induced damage in deep submicrometer nMOSFET: device characterization and damage assessment

The impact of indium channel implantation on the current-voltage characteristics, gate oxide breakdown and hot-carrier reliability of deep submicrometer nMOSFETs is studied in detail. A significantly faster oxide wear-out during ramped-voltage testing and a distinctly enhanced drain current degradation during hot-carrier stressing are observed in devices with implant dose ranging from 1-2 /spl times/ 10/sup 13/ cm/sup -2/. An important generation leakage is also measured in the long-channel MOSFET, although such irregularity is normally not detected in short-channel devices owing to predominant subthreshold current. The loss in device reliability may be attributed to the generation of local amorphous regions in the channel when the implant dose exceeds 10/sup 13/ cm/sup -2/. The limited thermal budget of the subsequent gate oxidation step is generally unable to anneal out these defects, which in turn lead to the formation of local weak spots and strained Si-H bonds in the gate oxide, and dislocation loops in the channel region. This finding raises an important concern on the use of indium implantation in retrograde channel engineering, since implant doses on the order of 10/sup 13/ cm/sup -2/ are often needed for effective suppression of short-channel effects. In order to minimize the loss in device reliability, the damaged lattice would need to be restored using a dedicated thermal annealing cycle prior to gate oxidation. A good correlation between the hot-carrier stress data and the DC current-voltage (DCIV) measurement data is also presented. This makes the DCIV technique a precise, nondestructive monitor for implantation-induced damage in deep submicrometer MOSFET, via a direct measurement of the process-residue interface traps.     

High-accuracy physical modeling of submicrometer MOSFET's

When short-channel MOSFET transistor models are compared to experimental data, the uncertainty in some of the physical input variables often requires that some of the input variables be adjusted to fit the data. This uncertainty is increased by a lack of knowledge of process sensitivity information on critical parameters. These uncertainties have been eliminated using a two-dimensional finite-element model of a MOSFET with no free parameters. The model is compared to four self-aligned silicon-gate n-channel MOSFET's with channel lengths of 0.80, 1.83, 2.19, and 8.17 µm. The 0.80, 1.83, and 8.17-µm devices have phosphorus sources and drains. The 2.19-µm device has an arsenic source and drain. These devices span the range of channel lengths from a short-channel device, totally dominated by velocity saturation and source-drain profile shape, to a long-channel device, well characterized by a long-channel model. Using the data obtained from the measurements described in this work, it is possible to model the drain current for all of the transistors studied without adjustable parameters. Transistors with 0.80-µm channel length differ in model input from those with 8.17-µm channel length only in the length of the polysilicon gate. If sufficiently accurate parameters are available, these methods allow the characteristics of submicrometer transistors to be predicted with ±5-percent accuracy. These simulations show that the observed short-channel effects can be accounted for by existing mobility data and a simple empirical model of these data. Triode and saturation effects are dominated by two-dimensional drain field penetration of the channel region. Subthreshold effects are caused by distortion of fields in the entire channel region by the drain field.     

Analytical modelling for the current-voltage characteristics of undoped or lightly-doped symmetric double-gate MOSFETs

An analytical drain current model for undoped (or lightly-doped) symmetric double-gate (DG) MOSFETs is presented. This model is based on the subthreshold leakage current in weak inversion due to diffusion of carriers from source to drain and an analytical expression for the drain current in strong inversion of long-channel DG MOSFETs, both including the short-channel effects. In the saturation region, the series resistance, the channel length modulation, the surface-roughness scattering and the saturation velocity effects were also considered. The proposed model has been validated by comparing the transfer and output characteristics with simulation and experimental results.     

Subthreshold current model of FinFETs based on analytical solution of 3-D Poisson's equation

The potential variation in the channel obtained from analytical solution of three-dimensional (3-D) Poisson's equation is used to calculate the subthreshold current and threshold voltage of fin field-effect transistors with doped and undoped channels. The accuracy of the model has been verified by the data from 3-D numerical device simulator. The variation of subthreshold slope and threshold voltage with device geometry and doping concentration in the channel has been studied.     

A surface potential and quasi-Fermi potential based drain current model for pocket-implanted MOS transistors in subthreshold regime

A subthreshold drain current model for pocket-implanted MOS transistors, incorporating both the drift and diffusion currents, is presented in this paper. In this model, the concept of splitting of the quasi-Fermi energy levels under nonequilibrium condition is used. It is well known that the surface potential based drain current models strongly depend on the potential profile of the channel. For short-channel devices, the end effect at the source and drain ends on the surface potential, and consequently on the drain current, cannot be ignored. The end effect gives rise to a position dependent potential profile, in contrast to a flat 1D profile in a long-channel device; which implies that both the drift and diffusion components are required to be considered for an accurate drain current. The concept of the gradient in the quasi-Fermi level is a convenient way to do so. In this work, a pseudo 2D potential profile which takes into account the vertical field due to the gate and the lateral field due to the source and drain junctions in addition to the difference in the flat-band voltage along the channel is used. Moreover, the mobility and the effective conduction layer depth used are also position dependent since the channel doping varies along the channel. Model predictions are compared with the results predicted by the 2D numerical device simulator DESSIS, and a very good agreement between the two are observed.     

Analysis of current conduction in short-channel accumulation-modeSOI PMOS devices

This paper reports a compact analytical current conduction model for short-channel accumulation-mode SOI PMOS devices. Based on the study, the current conduction mechanism in a short-channel accumulation-mode SOI PMOS device is different from that in a long-channel one. As verified by the experimental data, the compact analytical model considering channel length modulation and prepinchoff velocity saturation gives an accurate prediction of the drain current characteristics     

Two-dimensional analytic modeling of very thin SOI MOSFETs

An analytic solution of the Poisson's equation for MOSFETs on very thin SOI (silicon on insulator) was developed using an infinite series method. The calculation region includes the thin SOI and the gate and buried oxides. The results of this model were found to agree well with a two-dimensional (PISCES) simulation in the subthreshold region and the linear region with small V_DS. This model is used to study the short-channel behavior of very small MOS transistors on thin SOI. It is found that with very thin SOI, short-channel effects are much reduced compared to bulk MOS transistors and depend on the bulk-substrate bias. The model also shows that it is possible to fabricate submicrometer transistors on very thin SOI even if the channel doping is nearly intrinsic     

A two-dimensional electrostatic model for degraded LDD-nMOSFETs including spatial and energy distribution of hot-carrier-induced interface traps

A two-dimensional electrostatic model for degraded short channel lightly doped drain (LDD)-nMOSFETs is presented. The model is based on a numerical solution of the Poisson equation using the five-point finite difference approximation. The model takes into account all device details including doping profiles and spatial and energy distribution of hot-carrier induced interface traps in the LDD region. Potential and charge distributions within the device in weak (subthreshold) and strong inversion regimes have been extensively studied. The validation of the model has been carried out through comparison between simulated I-V characteristics in the linear region and published experimental data. The results obtained have shown that the drain current is greatly affected by the energy distribution of interface traps, especially in the low gate voltage range (near-threshold and subthreshold).