Two dimensional quantum and reliability modelling for lightly doped nanoscale devices

The downscaling of MOSFET devices leads to well-studied short channel effects and more complex quantum mechanical effects. Both quantum and short channel effects not only alter the performance but they also affect the reliability. This continued scaling of the MOS device gate length puts a demand on the reduction of the gate oxide thickness and the substrate doping density. Quantum mechanical effects give rise to the quantization of energy in the conduction band, which consequently creates a larger effective bandgap and brings a displacement of the inversion layer charge out of the Si/SiO2 interface. Such a displacement of charge is equivalent to an increase in the effective oxide layer thickness, a growth in the threshold voltage, and a decrease in the current level. Therefore, using the classical analysis approach without including the quantum effects may lead to perceptible errors in the prognosis of the performance of modern deep submicron devices. In this work, compact Verilog-A compatible 2D models including quantum short channel effects and confinement for the potential, threshold voltage, and the carrier charge sheet density for symmetrical lightly doped double-gate MOSFETs are developed. The proposed models are not only applicable to ultra-scaled devices but they have also been derived from analytical 2D Poisson and 1D Schrodinger equations including 2D electrostatics, in order to incorporate quantum mechanical effects. Electron and hole quasi-Fermi potential effects were considered. The models were further enhanced to include negative bias temperature instability (NBTI) in order to assess the reliability of the device. NBTI effects incorporated into the models constitute interface state generation and hole-trapping. The models are continuous and have been verified by comparison with COMSOL and BALMOS numerical simulations for channel lengths down to 7nm; very good agreement within ±5% has been observed for silicon thicknesses ranging from 3nm to 20nm at 1 GHz operation after 10 years

Analytical Modeling of Ultrashort-Channel MOS Transistors

Les geometries de transistors d'avui són al rang de nanòmetres d'un sol dígit. En conseqüència, les funcionalitats dels dispositius es veuen afectades negativament pels efectes de canal curt i de mecànica quàntica (SCE i QMEs). Una transició de la geometria del transistor d'efecte de camp de tipus FinFET a Gate-All-Around (GAA) FETs com FETs de nanofils cilíndrics (NW) i de nanoplaques de silici (SiNS) es preveuen en els propers nodes tecnològics per suprimir els SCE i garantir una major miniaturització del MOSFET Aquesta dissertació se centra en el modelat analític de FETs de tipus NW i SiNS de canal ultracurt.S'introdueix un concepte de dimensions de doble porta (DG) equivalent per transferir un model de potencial de DG analític a FET de NW. Un model de corrent de DG compacte es modifica aprofitant la simetria rotacional dels FET de NW. L'efecte del confinament quàntic (QC) és implementat considerant l'eixamplament addicional de la banda prohibida al càlcul d'una concentració de portadors de càrrega intrínseca efectiva i al càlcul del voltatge llindar. L'efecte de corrent túnel directe de font a drenador (DSDT) a SiNS FET ultraescalats es modela amb el nou mètode de wavelets. Aquest model calcula analíticament la probabilitat de tunelització per a cada energia de l'electró, aproximant la forma de la barrera potencial mitjançant una barrera rectangular amb una altura de barrera equivalent. A causa de la fórmula de corrent túnel de Tsu-Esaki no analíticament integrable, es presenta un mètode analític anomenat model quasi-compacte (QCM). Aquest enfocament requereix, entre altres aproximacions, una iteració de Newton i una interpolació lineal de la densitat de corrent amb efecte túnel. A més, es realitza una anàlisi criogènica de temperatura i dopatge. S'investiga la forta influència de la distància del nivell de Fermi a la font des de la vora de la banda de conducció sobre el pendent subumbral, el corrent i la reducció de la barrera induïda per drenador (DIBL). A més, es demostra i explica la fusió de dos efectes relacionats amb el pendent subumbral i el DIBL. La validesa del concepte de dimensions DG equivalents es demostra mitjançant el mesurament i les dades de simulació de TCAD Sentaurus, mentre que el mètode de wavelets es verifica mitjançant simulacions NanoMOS NEGF.Las geometrías de transistores de hoy están en el rango de nanómetros de un solo dígito. En consecuencia, las funcionalidades de los dispositivos se ven afectadas negativamente por los efectos de canal corto y de mecánica cuántica (SCE y QMEs). Una transición de la geometría del transistor de efecto de campo de tipo FinFET a Gate-All -Around (GAA) FETs tales como FETs de nanohilos cilíndricos (NW) y de nanoplacas de silicio (SiNS) se prevén en los próximos nodos tecnológicos para suprimir los SCE y garantizar una mayor miniaturización del MOSFET. Esta disertación se centra en el modelado analítico de FETs de tipo NW y SiNS de canal ultracorto. Se introduce un concepto de dimensiones de doble puerta (DG) equivalente para transferir un modelo de potencial de DG analítico a FET de NW. Un modelo de corriente de DG compacto se modifica aprovechando la simetría rotacional de los FET de NW. El efecto del confinamiento cuántico (QC) es implementado considerando el ensanchamiento adicional de la banda prohibida en el cálculo de una concentración de portadores de carga intrínseca efectiva y en el cálculo del voltaje de umbral. El efecto de corriente túnel directa de fuente a drenador (DSDT) en SiNS FET ultraescalados se modela con el nuevo método de wavelets. Este modelo calcula analíticamente la probabilidad de tunelización para cada energía del electrón aproximando la forma de la barrera de potencial mediante una barrera rectangular con una altura de barrera equivalente. Usando la fórmula de corriente túnel de Tsu-Esaki no analíticamente integrable, se presenta un método analítico denominado modelo cuasi-compacto (QCM), querequiere una iteración de Newton y una interpolación lineal de la densidad de corriente de efecto túnel. Además, se realiza un análisis criogénico en temperatura y dopaje. Se investiga la fuerte influencia del nivel de Fermi de la fuente la sobre la pendiente subumbral, la corriente y la reducción del efecto DIBL. Además, se demuestra y explica la fusión de dos efectos relacionados con la pendiente subumbral y el DIBL. La validez del concepto de dimensiones DG equivalentes se demuestra mediante datos de mediciones y de simulaciones TCAD Sentaurus, mientras que el método de wavelets se verifica mediante simulaciones NanoMOS NEGF.Today's transistor geometries are in the single-digit nanometer range. Consequently, device functionalities are negatively affected by short-channel and quantum mechanical effects (SCEs & QMEs). A transition from fin field-effect transistor (FinFET) geometry to gate-all-around (GAA) FETs such as cylindrical nanowire (NW) and silicon nanosheet (SiNS) FETs is envisioned in the upcoming technology nodes to suppress SCEs and ensure further MOSFET miniaturization. This dissertation focuses on the analytical modeling of ultrashort-channel NW and SiNS FETs. An equivalent double-gate (DG) dimensions concept is introduced to transfer an analytical DG potential model to NW FETs. A compact DG current model is modified by exploiting the rotational symmetry of NW FETs. The effect of quantum confinement (QC) is implemented by considering the additional bandgap widening in the calculation of an effective intrinsic charge carrier concentration and in the calculation of the threshold voltage. The effect of direct source-to-drain tunneling (DSDT) current in ultrascaled SiNS FETs is modeled with the new wavelet approach. This model calculates the tunneling probability analytically for each electron energy by approximating the potential barrier shape by a rectangular barrier with an equivalent barrier height. Due to the nonanalytically integrable Tsu-Esaki tunneling formula an analytical approach named quasi-compact model (QCM) is presented. This approach requires, among other approximations, a Newton iteration, and a linear interpolation of the tunneling current density. Furthermore, a cryogenic temperature and doping analysis is performed. The strong influence of the distance of the source related Fermi level from the conduction band edge on the subthreshold swing, current, and drain-induced barrier lowering (DIBL) saturation is investigated. Also, the merging of two subthreshold swing and DIBL effects is demonstrated and explained. The validity of the equivalent DG dimensions concept is proven by measurement and TCAD Sentaurus simulation data, while the wavelet approach is verified by NanoMOS NEGF simulations

Design Strategies for Ultralow Power 10nm FinFETs

Integrated circuits and microprocessor chips have become integral part of our everyday life to such an extent that it is difficult to imagine a system related to consumer electronics, health care, public transportation, household application without these small components. The heart of these circuits is, the metal oxide field-effect transistor (MOSFET) which is used as a switch. The dimensions of these transistors have been scaled from a few micrometers to few tens of nanometer to achieve higher performance, lower power consumption and low cost of production. According to the International Technology Roadmap for Semiconductors (ITRS), beyond 32 nm technology node, planer devices will not be able to fulfill the strict leakage requirement anymore due to overpowering short channel effects and need of multi-gate transistor is inevitable. The motivation of the thesis therefore is to investigate techniques to engineer threshold voltage of a tri-gate FinFET for low power and ultra-low power applications. The complexity of physics involved in 3D nano- devices encourages use of advanced simulation tools. Thus, Technology Computer Aided Design Tools (TCAD) are needed to perform device optimization and support device and process integration engineers. Below 20nm technology node, the Fin-shaped Field Effect Transistor or Tri-gate transistor requires extensive use of 3D TCAD simulations. The multi-gate devices such as FinFETs are considered to be one of the most promising devices for Ultra Large Scale Integration (ULSI). This device structural design with additional gate electrodes and channel surfaces offers dynamic threshold voltage control. In addition, it can provide better short channel performance and reduced leakage. In this study, new design strategies for 10nm node NMOS bulk FinFET transistors are investigated to meet low power (LP) (50pA/μ

Analytical predictive 2d modeling of pinch-off behavior in nanoscale multi-gate mosfets

In this thesis the pinch-off behavior in nanoscale Multi-Gate MOSFETs was reviewed and with compact models described. For this a 2D approach with Schwarz-Christoffel conformal mapping technique was used. A model to calculate the current in single gate MOSFETs was derived and compared to device simulations from TCAD Sentaurus down to 50nm. For the DoubleGate MOSFET a new way to define the saturation point was found. A fully 2D closed-form model to locate this point was created. It was also found that with quantum mechanics effects a pinch-off point can occur and can be described with the same model. Furthermore the model was extended to describe the coupled pinch-off points in an asymmetrical biased DoubleGate MOSET with an even an odd mode. Also the saturation point behavior in FinFETs was examinated

Modeling and Simulation of Subthreshold Characteristics of Short-Channel Fully-Depleted Recessed-Source/Drain SOI MOSFETs

Non-conventional metal-oxide-semiconductor (MOS) devices have attracted researchers‟ attention for future ultra-large-scale-integration (ULSI) applications since the channel length of conventional MOS devices approached the physical limit. Among the non-conventional CMOS devices which are currently being pursued for the future ULSI, the fully-depleted (FD) SOI MOSFET is a serious contender as the SOI MOSFETs possess some unique features such as enhanced short-channel effects immunity, low substrate leakage current, and compatibility with the planar CMOS technology. However, due to the ultra-thin source and drain regions, FD SOI MOSFETs possess large series resistance which leads to the poor current drive capability of the device despite having excellent short-channel characteristics. To overcome this large series resistance problem, the source/drain area may be increased by extending S/D either upward or downward. Hence, elevated-source/drain (E-S/D) and recessed-source/drain (Re-S/D) are the two structures which can be used to minimize the series resistance problem. Due to the undesirable issues such as parasitic capacitance, current crowding effects, etc. with E-S/D structure, the Re-S/D structure is a better choice. The FD Re-S/D SOI MOSFET may be an attractive option for sub-45nm regime because of its low parasitic capacitances, reduced series resistance, high drive current, very high switching speed and compatibility with the planar CMOS technology. The present dissertation is to deal with the theoretical modeling and computer-based simulation of the FD SOI MOSFETs in general, and recessed source/drain (Re-S/D) ultra-thin-body (UTB) SOI MOSFETs in particular. The current drive capability of Re-S/D UTB SOI MOSFETs can be further improved by adopting the dual-metal-gate (DMG) structure in place of the conventional single-metal-gate-structure. However, it will be interesting to see how the presence of two metals as gate contact changes the subthreshold characteristics of the device. Hence, the effects of adopting DMG structure on the threshold voltage, subthreshold swing and leakage current of Re-S/D UTB SOI MOSFETs have been studied in this dissertation. Further, high-k dielectric materials are used in ultra-scaled MOS devices in order to cut down the quantum mechanical tunneling of carriers. However, a physically thick gate dielectric causes fringing field induced performance degradation. Therefore, the impact of high-k dielectric materials on subthreshold characteristics of Re-S/D SOI MOSFETs needs to be investigated. In this dissertation, various subthreshold characteristics of the device with high-k gate dielectric and metal gate electrode have been investigated in detail. Moreover, considering the variability problem of threshold voltage in ultra-scaled devices, the presence of a back-gate bias voltage may be useful for ultimate tuning of the threshold voltage and other characteristics. Hence, the impact of back-gate bias on the important subthreshold characteristics such as threshold voltage, subthreshold swing and leakage currents of Re-S/D UTB SOI MOSFETs has been thoroughly analyzed in this dissertation. The validity of the analytical models are verified by comparing model results with the numerical simulation results obtained from ATLAS™, a device simulator from SILVACO Inc

ANALYTICAL COMPACT MODELING OF NANOSCALE MULTIPLE-GATE MOSFETS.

L’objectiu principal d’aquest treball és el desenvolupament d’un model compacte per a MOSFETs de múltiple porta d’escala nanomètrica, que sigui analític, basat en la física del dispositiu, i predictiu per a simulacions AC i DC. Els dispositius investigats són el MOSFET estàndar en mode d’inversió, a més d’un nou dispositiu anomenat “junctionless MOSFET” (MOSFET sense unions). El model es va desenvolupar en una formulació compacta amb l’ajuda de l’equació de Poisson i la tècnica de la transformación conforme de Schwarz-Cristoffel. Es varen obtenir les equacions del voltatge llindar i el pendent subllindar. Usant la funció W de Lambert, a més d’una funció de suavització per a la transcició entre les regions de depleció i acumulació, s’obté un model unificat de la densitat de càrrega, vàlid per a tots els modes d’operació del transistor. S’estudien també les dependències entre els paràmetres físics del dispositiu i el seu impacte en el seu rendiment. Es tenen en compteefectes importants de canal curt i de quantització. Es discuteixen també la simetria al voltant de Vds= 0 V, i la continuïtat del corrent de drenador en les derivades d’ordre superior. El model va ser validat mitjançant simulacions TCAD numèriques i mesures experimentals.El objetivo principal de este trabajo es el desarrollo de un modelo compacto para MOSFETs de múltiple puerta de escala nanométrica, que sea analítico, basado en la física del dispositivo, y predictivo para simulaciones AC y DC. Los dispositivos investigados son el MOSFET estándar en modo inversión, además de un nuevo dispositivo llamado “junctionless MOSFET” (MOSFET sin uniones). El modelo se desarrolló en una formulación compacta con la ayuda de la ecuación de Poisson y la técnica de transformación conforme de Schwarz-Cristoffel. Se obtuvieron las ecuaciones del voltaje umbral y la pendiente subumbral. Usando la función W de Lambert, además de una función de suavización para la transición entre las regiones de depleción y acumulación, se obtiene un modelo unificado de la densidad de carga, válido para todos los modos de operación del transistor. Se estudian también las dependencias entre los parámetros físicos del dispositivo y su impacto en su rendimiento. Se tienen en cuenta efectos importantes de canal corto y de cuantización. Se discuten también la simetría alrededor de Vds= 0 V, y la continuidad de la corriente de drenador en las derivadas de orden superior. El modelo fue validado mediante simulaciones TCAD numéricas y medidas experimentales.The main focus is on the development of an analytical, physics-based and predictive DC and AC compact model for nanoscale multiple-gate MOSFETs. The investigated devices are the standard inversion mode MOSFET and a new device concept called junctionless MOSFET. The model is derived in closed-from with the help of Poisson's equation and the conformal mapping technique by Schwarz-Christoffel. Equations for the calculation of the threshold voltage and subthreshold slope are derived. Using Lambert's W-function and a smoothing function for the transition between the depletion and accumulation region, an unified charge density model valid for all operating regimes is developed. Dependencies between the physical device parameters and their impact on the device performance are worked out. Important short-channel and quantization effects are taken into account. Symmetry around Vds = 0 V and continuity of the drain current at derivatives of higher order are discussed. The model is validated versus numerical TCAD simulations and measurement data

Studies of short channel effects and Performance enhancement of nano-mosfet Based on multi-objective genetic algorithm Approach

The nano-scale devices face a major issue i.e Short Channel Effects, as a result of which the performance of the devices degrade. To enhance the performance of such devices, the SCEs should be reduced. This thesis contributes to enhance the performance of nano-scaled DG MOSFET by re-ducing the short channel effects. To approach towards the main objective of the thesis, a study has been done on analytical modeling of undoped symmetric DG MOSFET. Then, to get the picture of SCEs, the electrical parameters such as maximum Drain current(Ion),Leakage current(Ioff ), Sub threshold Swing (SS), Threshold voltage (Vth ), and Drain In-duced Barrier Lowering (DIBL) are analytically derived by solving 2-dimensional Poisson’s equation and the same are studied with the variation of design parameters such as L, tsi and tox. To validate such analytical models, SCEs are studied using ATLAS device simulator. Graded Cannel engineering techniques are used for reduction of SCEs. For further reduction or minimization of SCEs, a multi-objective optimization technique is used to enhance the accuracy with optimum design parameters. To validate the optimized structure, a simulated model is built with those optimized values of the design parameter and the performance of the device is compared with the existing result [32]

Simulation of FinFET Structures

The intensive downscaling of MOS transistors has been the major driving force behind the aggressive increases in transistor density and performance, leading to more chip functionality at higher speeds. While on the other side the reduction in MOSFET dimensions leads to the close proximity between source and drain, which in turn reduces the ability of the gate electrode to control the potential distribution and current flow in the channel region and also results in some undesirable effects called the short-channel effects. These limitations associated with downscaling of MOSFET device geometries have lead device designers and researchers to number of innovative techniques which include the use of different device structures, different channel materials, different gate-oxide materials, different processes such as shallow trench isolation, source/drain silicidation, lightly doped extensions etc. to enable controlled device scaling to smaller dimensions. A lot of research and development works have been done in these and related fields and more remains to be carried out in order to exploit these devices for the wider applications