TRANSISTOR LEVEL MODELING FOR ANALOG/RF IC DESIGN Transistor Level Modeling for Analog/RF IC Design Edited by WLADYSLAW GRABINSKI Geneva Modeling Center, Freescale, Switzerland BART NAUWELAERS K.U. Leuven, Belgium and DOMINIQUE SCHREURS K.U. Leuven, Belgium A C.I.P. Catalogue record for this book is available from the Library of Congress. ISBN-10 1-4020-4555-7 (HB) ISBN-13 978-1-4020-4555-4 (HB) ISBN-10 1-4020-4556-5 ( e-book) ISBN-13 978-1-4020-4556-1 (e-book) Published by Springer, P.O. Box 17, 3300 AADordrecht, The Netherlands. www.springer.com Printed on acid-free paper All Rights Reserved © 2006 Springer No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed in the Netherlands. TABLE OF CONTENTS Foreword vii HiroshiIwai Introduction ix WladekGrabinski,BartNauwelaersandDominiqueSchreurs 1 2/3-Dprocessanddevicesimulation.Aneffectivetool forbetterunderstandingofinternalbehavior ofsemiconductorstructures 1 DanielDonoval,AndrejVrbicky,AlesChvala,andPeterBeno 2 PSP:Anadvancedsurface-potential-basedMOSFETmodel 29 R.vanLangevelde,andG.Gildenblat 3 EKV3.0:AnadvancedchargebasedMOStransistormodel. Adesign-orientedMOStransistorcompactmodelfornext generationCMOS 67 MatthiasBucher,AntoniosBazigos,FrançoisKrummenacher, Jean-MicehlSallese,andChristianEnz 4 Modellingusinghigh-frequencymeasurements 97 DominiqueSchreurs v vi Tableofcontents 5 EmpiricalFETmodels 121 IltchoAngelov 6 ModelingtheSOIMOSFETnonlinearities. Anempiricalapproach 157 B.Parvais,A.Siligaris 7 CircuitlevelRFmodelinganddesign 181 NobuyukiItoh 8 Onincorporatingparasiticquantumeffectsinclassical circuitsimulations 209 FrankFelgenhauer,MaikBegoinandWolfgangMathis 9 CompactmodelingoftheMOSFETinVHDL-AMS 243 ChristopheLallement,FrançoisPêcheux,AlainVachoux andFabienPrégaldiny 10 CompactmodelinginVerilog-A 271 BorisTroyanovsky,PatrickO’HalloranandMarekMierzwinski Index 293 FOREWORD Amongmanygreatinventionsmadeinthe20thcentury,electroniccircuits, which later evolved into integrated circuits, are probably the biggest, when consideringtheircontributiontohumansociety.Enteringthe21stcentury,the importanceofintegratedcircuitshasincreasedevenmore.Infact,withoutthe help of integrated circuits, recent high-technology society with the internet, cellular phone, car navigation, digital camera, and robot would never have beenrealized.Nowadays,integratedcircuitsareindispensableforalmostevery activityofoursociety. Oneofthecriticalissuesforthefabricationofintegratedcircuitshasbeen theprecisedesignofthehigh-speedorhigh-frequencyoperationofcircuitswith hugenumberofcomponents.Itisquitenaturaltopredictthecircuitoperation by computer calculation, and there have been three waves for this, at 15-year intervals.Thefirstwavecameatthebeginningofthe1970swhenLSIs(Large ScaleIntegratedcircuits)withmorethan1000componentshadjustbeenintro- ducedintothemarket.Amainframecomputerwasusedforthesimulation,and each semiconductor company used its own proprietary simulators and device models. However, the capability of the computer and accuracy of the model werefarfromsatisfactory,andtherearemanycasesofthenecessityofcircuit re-designafterevaluationofthefirstchip. Thesecondwavehitusinthemiddleof1980s,whentheEWS(Engineer- ingWork Station) was introduced for use by designers.At that time, most of the simulation tools were already provided by software vendors and standard device models for public use were being established. The simulation of cir- cuits became considerably more accurate and the amount of re-design was significantly reduced. The third wave started to flood us at the beginning of this century, when the PC provided sufficiently high performance for circuit simulation.Wearefacingthefrontofthethirdwavenow. Thesituationfordevicemodelsforcircuitshaschangedverymuchduring thepast20years.Tenyearsago,themodelwaskeptinstrictsecrecywithineach W.Grabinski,B.NauwelaersandD.Schreurs(eds.), TransistorLevelModelingforAnalog/RFICDesign,vii–viii. (cid:1)c 2006Springer.PrintedintheNetherlands. vii viii Foreword semiconductor company, in most cases. Now the semiconductor companies adoptopenpublicstandardmodelsorevencommonmodelparametersinorder to provide a familiar design environment to their customers. Recently, very accurateandcomplexmodelshavebeenrequiredtocopewiththeneedtodesign extremely high-speed logic circuits with ultra-small transistors – sometimes even with an SOI substrate.The characteristics of ultra-small CMOS devices arequitedifferentfromthoseofolderlargertransistorsandthemodelsbecome very complicated. Also, the macroscopic treatment of large number of logic deviceswithhardwaredescriptionlanguagessuchasVHDL-AMSorVerilog-A becomesveryimportant,withtremendousincreasesinintegration. AnotheraspectisthatthemarketforRFintegratedcircuitshasbecomevery large,andtherearestrongdemandsforanaccurateRFmodelforCMOSand HBTs.Traditionally,modelingofRFdeviceswasverydifficult,becauseofthe accuracyrequirednotonlyforthefirstderivativeoftheI-Vcharacteristics,but alsoforthethirdderivative.Inaddition,anaccuratethree-dimensionalmodel ofthesubstrateisessentialforpreciseRFsimulationofactiveandalsopassive components.Thesubstratemodelisalsoimportantfornoisesimulation,which isakeyelementinRFdevices.Correspondingtotheaccuracyandcomplexity of the model required, the expression of the model has wide variety; empiri- calexpression,analyticalexpression,tablelook-upexpression,andnumerical expressionobtainedbynumericalsimulation. The importance of compact modeling for circuits is becoming bigger and biggerinthethirdwave,andweexpecttoseegreatprogress.Thisbookincludes someoftherecentimportantadvancesincompactmodeling.Itisourhopethat thisbookwillbeusefulfordesignersandmodelingscientistsfacingthefront ofthethirdwave. HiroshiIwai TokyoInstituteofTechnology December1,2005 INTRODUCTION WladekGrabinski,BartNauwelaersandDominiqueSchreurs Theaccuracyoftheintegratedcircuitanalysisperformedincontemporary designflowsisdirectlycorrelatedtothequalityofitsfundamentalcomponents– the models.To ensure on-time delivery of these models, characterization and model generation must be rapid and precise. To be able to take full advan- tageofthenewsemiconductortechnologies,thedesignershavetoupdatetheir CAD tools regularly with precise definitions of the new device models that canbeimplementedintocircuitsimulatorsanddesignflows.Themodelsmust preferablybephysics-basedtoaccountforcomplexdependencesofthedevice properties on dimensions and other process variables. The model parameters are derived from measurements and characterization of the devices. For RF CMOS(bulkandSOI)andcompoundtechnologies,bothmodelingandchar- acterization are challenging tasks that will be especially emphasized in this book. Thisbookisaimedatradiofrequency(RF)/analogandmixed-signalinte- grated circuit (IC) designers, computer-aided design (CAD) engineers, semi- conductor physics students, as well as wafer fab process engineers working on device, compact model level.We can summarize the goals of the book as follow: – to give the reader a consistent introduction to the main steps of com- pactmodeldevelopments,includingadvanced2/3Dprocessanddevice simulations, consistent and accurate MOSFET modeling founded on the physical concepts of the surface potential, charge-based model- ing, empirical modeling of small and large signal device behavior, and modeling approaches that are based on linear as well as non-linear measurements; – to illustrate the impact of device-level modeling on IC design using selectedexamples; W.Grabinski,B.NauwelaersandD.Schreurs(eds.), TransistorLevelModelingforAnalog/RFICDesign,ix–xiii. (cid:1)c 2006Springer.PrintedintheNetherlands. ix x W.Grabinskietal. – to provide a detailed insight into modeling and design flow automa- tion based on high-level behavioral languages, i.e. VHDL-AMS and Verilog-A. We have structured this book to cover the key aspects of compact model developments,showingconsistentflowoftheimplementationanddissimilation as well as its standardization tasks. Following that organization, the book is dividedintotenmainchapters: Inthefirstchapterofthisbook,D.Donovaletal.introduce2/3Dprocessand device simulation as an effective tool for better understanding of the internal behaviorofsemiconductorstructures.Processsimulationsareusedtocreatea virtualdevicewithgeometryandpropertiesidenticaltotherealstructure,and such basic technology steps as ion implantation, diffusion, epitaxial growth, oxidation, deposition and etching are presented.Then numerical 2/3D device simulationsareperformed.Thecompletesimulationflowisillustratedbythree advancedexamples:abipolartransistor,aCMOSinverterstructureandapower vertical DMOS transistor multi-cell structure. These kinds of virtual device structures created by 2/3D process and device simulations are often used as initialinputsforcompactmodeldevelopmentandvalidation. BulkCMOSmodelsmakeupthemainstreamofthecompactmodels.Next, two chapters discuss two concepts of the physics-based models for CMOS devices. R.vanLangeveldeetal.presentPSP:anadvancedsurface-potential-based MOSFET.ThePSPcompactmodeljointlydevelopedbyPhilipsResearchand Pennsylvania State University is based on fundamental physics (the surface potential approach) over the entire MOSFET device operating regime. Such effectsasgateleakage,noise,non-quasistatic(NQS)andquantum-mechanical effects,whichbecomeincreasinglyimportantwiththedownscalingofCMOS technology,arephysicallymodeledwithinPSPandhavebeenverifiedexperi- mentally.Themodelalsoprovidesabetterdescriptionofhigh-frequencybehav- ior. The PSP model enables improved simulations of a wide class of circuits includinganalog/RFmodulesthatareimportantinthemobilecommunication technologyandotheradvanceddesigns.ThePSPcompactmodelissupported by professional software environments, including Verilog-A, which allow it to be directly coupled to many popular circuit simulators. The PSP model has been submitted to the Compact Model Council (CMC) as a candidate for standardization. M.Bucheretal.presentEKV3.0:anadvancedcharge-basedMOSFETtran- sistor model which is design-oriented towards next-generation CMOS tech- nologies and IC designs. Historically, the development of the EKV model is driven by the needs of analog IC designers. This chapter presents the physical foundation of the EKV charge model, which is itself based on a surface-potentialanalysis.Thebasicchargemodelingapproachallowsnotonly Introduction xi physically consistent and accurate modeling of current, terminal charges and noise,butalsooffersauniquesetofsuitableexpressionsforhand-calculation of analog/RF circuits. The fully-featured EKV3.0 compact MOST model for circuit simulation is presented and validated using advanced RF application examples down to sub-100nm CMOS technologies. Finally, the parameter extractionprocedureandimplementationintheVerilog-Alanguagearebriefly discussed. The next two chapters describe empirical models, and also include infor- mationonmeasurementtechniquesusedformodelextractionorcreation. Reliablemeasurementsareaprerequisiteforanysensibledevicemodeling work, in particular for RF applications where the silicon or III–V compound material-based device models are required to predict their subtlest behavior. D.SchreursfocusesonMOSFETmodelingusingdirecthigh-frequencymea- surements.Afterexplainingthetheoreticalbackgroundoftwohigh-frequency modeling approaches, the author discusses the main characterization steps, i.e. linear and non-linear vector measurements and the importance of de- embedding,aswellasequivalentcircuitandbehavioralmodeling.Bothlinear and non-linear measurement-based modeling approaches are explained and theirdifferentimplementationsareillustratedbyexamples. I. Angelov discusses empirical FET models. Experimental static current, S-parameter and capacitance characteristics are linked with small and con- sistent large signal equivalent circuit modeling, leading to an empirical FET model.ThiscreatesabasisforreviewingStandardandExtendedCurticeMod- els,theMaterka-KacprzakModel,theTriquintModel,theEESOFModel,and theChalmersFETModel.Theauthoralsoshowsanextendedempiricalmodel toincorporatephysicalphenomenasuchasthermaleffectsanddispersion. Thefollowingthreechaptersbringsomespecificphysicalaspectsintothe modellingarena:SOIwithitsspecialsubstratebuild-up,effectsofverysmall dimensionMOSFETs,andquantumeffectsthatareobservableinsomecircuits. Silicon-on-insulator (SOI) CMOS technologies offer exceptional advan- tagesnotonlyfordigitaldesignsbutalsoforRF,low-GHztelecommunication and microwave IC designs. B.Parvais and A.Siligaris present an empirical approachtomodelingtheSOIMOSFETnonlinearities.Theanalyticalmodel is introduced to describe the nonlinear behavior of the SOI device from DC toRFcoherently,andtoaccountforthedispersivecharacterofsomephysical phenomena, such as floating body (FB) effects in the SOI device. The simu- lations of a new model were validated by measurements and explained by a simpleanalyticalmodel,basedontheVolterraseriesapproach. Some of the models might not properly describe some physical effects presentedinaggressivelydown-scaledCMOStechnologies.AstheMOSFET modelsarecriticalforreliableRFdesigns,newphysicaleffectsmustbeincor- poratedandalternativemodelingtechniquesmustbeproposed.N.Itohfocuses on and describes some insufficiently modeled phenomena in the recent small
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