Modeling and optimization of Tunnel-FET architectures exploiting carrier gas dimensionality THÈSE NO 7587 (2017) PRÉSENTÉE LE 24 MARS 2017 À LA FACULTÉ DES SCIENCES ET TECHNIQUES DE L'INGÉNIEUR LABORATOIRE DES DISPOSITIFS NANOÉLECTRONIQUES PROGRAMME DOCTORAL EN MICROSYSTÈMES ET MICROÉLECTRONIQUE ÉCOLE POLYTECHNIQUE FÉDÉRALE DE LAUSANNE POUR L'OBTENTION DU GRADE DE DOCTEUR ÈS SCIENCES PAR Cem ALPER acceptée sur proposition du jury: Dr G. Boero, président du jury Prof. M. A. Ionescu, Prof. P. Palestri, directeurs de thèse Dr U. E. Avci, rapporteur Prof. M. Luisier, rapporteur Dr J.-M. Sallese, rapporteur Suisse 2017 Acknowledgements ThisthesismarkstheendmyPhDjourneywhichtookabitmorethanfouryearsbutfelt likeeternity. Indeed,workingonthesamesubjectforsuchalongtimesometimesgotabit monotonousandfrustrating. Whatkeepsyougoingisthemomentswhenyouovercome toughintellectualchallengesthatmakesyoufeelextremelyproudattheend.Overall,Iam morethanhappytosaythatthelongworkpaidoffbigtime! First, my gratitude and appreciation go to my thesis advisor Prof. Adrian M. Ionescu for acceptingmeintohislabandallowingmetoworkonaveryfascinatingsubject.Hisextremely smartobservationsandhisabilitytoseethe’bigpicture’helpedmesetmycoursebackon trackwhenIgotlost. ManythankstoProf. PierpaoloPalestriofUniversityofUdinewho actedasmyco-advisor.Iwasamazedtoseehiskeenattentiontodetailandhiswillingness to get his hands dirty that saved my back so many times. It is truly an honor to witness ourcollaboration,whichstartedasapseudo-randomencounter,developintoafull-fledged student-tutorrelationship(thankyou,Skype).ThanksareduetoDr.Jean-MichelSallese,Dr. GiovanniBoero,Prof. MathieuLuisier,Dr. UygarAvciforkindlyacceptingtobeinmyPhD juryandtheirvaluableremarksonmythesis. HavinganideallabenvironmentisessentialwhendoingaPhDwhichcanbedauntingat times. I consider myself extremely lucky in this aspect, as I was surrounded by very nice andsmartpeople.Ithankallmylabmembers(pastandpresent)includingLivio,Luca,Jose, Nilay,Arnab,EmanueleandManeeshaforourcollaborationsandWolfgangandClaraforour chitchatsandforlettingmeusethecouchwhenIwastooboredortiredtowork!Manythanks toIsabelleandKarinfortheirpositiveattitudesandtheirhelpwiththeadministrativework. WhenIfirstcametoLausannealmostsevenyearsagoformasterstudies,ImustadmitthatI mainlyregardedLausanneasasteppingstonetotheUSforthePhD.Indeedmyplanseemed toworkfineasIgotaverycompellingofferfromaworld-renownuniversityintheUSasaPhD. However,bythetimeIwasfinishedwithmymasters,IwassohappyherethatIdecidedto stay.Still,itwasthehardestdecisionImadeinmylifesofar(so,luckyme?).Icannotexpress enoughhowhappyIamwiththeoutcome.IthankespeciallyBerker,KeremandEcefortheir supportduringthetoughtimes. Berkeralsodeservesaveryspecialmentionasheisaconstantsourceofcalmness,someoneto talktowheneverIneeded;or,inshort,abrothertome.ManymanythankstoKeremforbeing suchagoodfriendandalsoanexcellentlab/projectpartnerforagooddealofcoursessince ourundergraduate.TheLausanneTurkishgangdeservesthehighestregards,theAkçokfamily (Bas¸ak,˙IsmailandAlpin),Nariye,Meriç,Can,Bug˘ra,Gizem,Gizem,EceandEmre,youmade iii Acknowledgements mytimeinLausanneworthwhile.Iwillneverforgetthenightsatour"MacLaren’s"(i.e.,Bar Tabac).SpecialthankstoDilan,whohasbeenanexcellentandcaringfriendandanessential partofourdomestictrio. IcannotexpressmyfeelingsformybelovedHandanwithwords.Sheisanamazingwoman whotrulyunderstandsme.Sheispatientenoughtoputupwithmyerraticbehaviorattimes. Iamsoluckytohaveyoubymyside.IknowIwouldbelostwithoutyou.Thankyou. Finally,IwanttothankmyparentsBirsen&Yusuf,mybrotherandsister-in-lawEmre&Belgin andmyextendedfamilyfortheirconstantsupport. Ihavenotreceivedanythingbutlove, warmthandsympathyfromthem.IameversogratefulformakingmewhoIamandproviding aperfectlifeformeaswellassome(too)longnightsplayingvideogamesliketeenagers. Lausanne,17February2017 CemAlper iv Abstract Thesemiconductorindustry, governedbytheMoore’slaw, hasachievedthealmostunbe- lievablefeatofexponentiallyincreasingperformancewhileloweringthecostsforyears.The mainenablerforthisachievementhasbeenthescalingoftheCMOStransistorthatallowed themanufacturerstopackmoreandmorefunctionalityintothesamechiparea.However,it isnowwidelyagreedthatthehappydaysofscalingarewelloverandweareabouttoreach thephysicallimitsoftheCMOSconcept. Onemajor,insurmountablelimitofCMOSisthe so-calledthermionicemissionlimitwhichdictatesthattheswitchingslopeofthetransistor cannotgobelow60mV/decatroomtemperature.Thismakesitimpossibletoscaledownthe supplyvoltageforCMOStransistorwithoutdramaticallyincreasingthestaticpowerconsump- tion.Toaddressthisissue,anoveltransistorconceptcalledTunnelFET(TFET)whichutilizes thequantummechanicalband-to-bandtunneling(BTBT)hasbeenproposed.TFETspossess thepotentialtoovercomethethermionicemissionlimitandthereforeallowforlowsupply voltageoperation. This thesis aims at investigating the performance of TFETs with alternative architectures exploitingquantizedcarriergasesthroughquantummechanicalsimulations.Tothisend,1D and2Dself-consistentSchrödinger-Poissonsolverswithclosedboundariesaredeveloped alongwiththephonon-assistedanddirectBTBTmodelsimplementedasapost-processing step. Moreover,weproposeanefficientmethodtoincorporatethequantizationalongthe transversedirectionwhichenablesustosimulatedifferentdimensionalitycombinations.The implementedmodelsarecalibratedagainstexperimentalandmorefundamentalquantum mechanicalsimulationmethodssuchask·p andtight-bindingNEGFusingtunnelingdiode structures. Usingthesetools,wesimulateanadvancedTFETarchitecturecalledelectron-holebilayer TFET(EHBTFET)whichexploitsBTBTbetween2Delectronandholegaseselectrostatically inducedbytwoseparateoppositelybiasedgates.Thesubband-to-subbandtunnelingisfirst analyzedwiththe1Dsimulatorwherethedeviceworkingprincipleisdemonstrated.Then, non-idealitiesoftheEHBTFEToperationsuchasthelateraltunnelingandcornereffectsare investigatedusingthe2Dsimulator.Theoriginofthelateralleakageandtechniquestoreduce itareanalyzedindetail. AparameterspaceanalysisoftheEHBTFETisperformedbysimulatingawiderangeofchannel materials,channelthicknessandoxidethicknesses. Ourresultsindicatethepossibilityof having2D-2Dand3D-3DtunnelingfortheEHBTFET,dependingontheparameterschosen. AnoveldigitallogicschemeutilizingtheindependentbiasingpropertyoftheEHBTFETn- v Acknowledgements andp-gatesisproposedandverifiedthroughquantum-correctedTCADsimulations. The performancebenchmarkingagainsta28nmFD-SOICMOStechnologyisperformedaswell. TheresultsindicatethattheEHBTFETlogiccanoutperformtheCMOScounterpartinthelow supplyvoltage(subthreshold)regime,whereitcanoffersignificantlyhigherdrivecurrentdue toitssteepswitchingslope. We also compare the different dimensionality cases and highlight important differences betweenthefaceandedgetunnelingdevicesintermsoftheirdependenceonthedevice parameters(channelmaterial,channelthicknessandEOT). Keywords:TunnelFET,quantumsimulation,steepslopeswitch,circuitbenchmarking,band- to-bandtunneling,analyticalmodeling,numericalsimulation,finiteelementmethod,carrier gasdimensionality,densityofstates(DOS),2D-2Dtunneling,counterdoping,hetero-gate, electron-holebilayer vi Sommario BasandosisullaleggediMoore,l’industriadeisemiconduttorièstataingradodimetterein attoun’impresaquasiincredibile:aumentareesponenzialmenteleprestazionideidispositivi, congiuntamenteallariduzionedeicosti.Questoèstatopossibilegraziealprocessodiminia- turizzazionedeltransistoreCMOS,chehapermessodiaumentaresempredipiùladensità didispositiviperunitàd’area.Tuttavia,èormaicomunementeaccettatoilfattochequesto processostiagiungendoauntermine,essendoalpuntodiraggiungereilimitifisicidellatec- nologiaCMOS.Adesempio,unlimiteinsormontabilerelativoaquestatecnologiaèdovutoalla cosiddettaemissionetermoionica,chefasìchelapendenzadisottosoglianonpossaessere inferiorea60mV/decatemperaturaambiente.Perquestomotivo,risultaimpossibileridurre latensionedialimentazioneperitransistoriCMOSsenzaaumentareesponenzialmenteil consumodipotenzastatico.Perrisolverequestoproblema,èstatopropostountransistore alternativochiamatoTunnelFET(TFET),basatosulmeccanismoditunnelingquantistico banda-banda.ITFEToffronolapossibilitàdisuperareillimitedell’emissionetermoionicae cosìpermetterediridurrelatensionedialimentazione. L’obiettivodiquestatesiconsistenellostudiodelleprestazionidiTFETconarchitetturealter- native,basatesugasdiportatoridicaricaquantizzati.Lostudioèstatoeffettuatoattraverso simulazioni numeriche, includendo effetti di meccanica quantistica. A tal fine, sono stati sviluppatiprogrammiperrisolvereinmanieraautoconsistenteproblemiSchrödinger-Poisson 1De2D,congiuntamenteall’usodimodelliditunnelingquantisticobanda-bandadirettoo assistitodafononi,applicatiinunafasesuccessiva.Inoltre,inquestatesiproponiamoun metodoperconsiderarelaquantizzazionenelladirezionetrasversa,checipermettedisimu- lareefficientementediversecombinazionididimensionalità.Imodelliimplementatisono staticalibratiavendocometerminediparagonedatisperimentaliemetodidisimulazione alternativibasatisusimulazionidimeccanicaquantisticafondamentale,comeilk·p eil tight-bindingNEGFbasatosustrutturedidiodoaeffettotunneling. Tramitequestistrumenti,abbiamosimulatoun’architetturaTFETavanzatadenominatoTFET adoppiostratoelettrone-lacuna(electron-holebilayerTFEToEHBTFET),chesibasasul tunnelingbanda-bandatragasbidimensionalidielettronielacune,indottiinmodoelettro- staticodadueterminalidigatedispostioppositamente.Primadituttoabbiamoanalizzato iltunnelingdasottobandaasottobandaconunsimulatoremonodimensionale,alfinedi dimostrareilprincipiodifunzionamentodeldispositivo.Successivamenteilsimulatore2Dè statoimpiegatoperstudiaregliaspettinon-idealidell’EHBTFET,comeiltunnelinglaterale e gli effetti agli angoli. Lecause del tunnelinglaterale eletecnicheperridurlo sono state vii Acknowledgements analizzateindettaglio. Abbiamoeffettuatounostudiodeiparametridiprogettodell’EHBTFETsimulandounavasta gammadimaterialiperilcanale,edispessoriperilcanaleeperildielettrico.Inostririsultati dimostranocheasecondadeiparametril’EHBTFETpuòesibiretunnelingsia2D-2Dche 3D-3D.InoltreabbiamopropostoeverificatoattraversosimulazioniTCADconcorrezioni quantisticheunoschemalogicodigitaleinnovativobasatosulleproprietàdipolarizzazione indipendentedeigateditiponep.dell’EHBTFET.Inoltreabbiamoconfrontatoleprestazioni dell’EHBTFET rispetto a quelle offerte dalla tecnologia FD-SOI CMOS a 28 nm. I risultati mostranocheunalogicabasatasull’EHBTFETpuòforniremiglioriprestazionirispettoalla logicaCMOSinregimedibassatensionedialimentazione,dovelacorrentepuòesserepiù altaacausadellamaggiorependenzasottosoglia.Abbiamoancheconfrontatodiversicasi didimensionalitàesottolineatoimportantidifferenzetradispositivibasatisutunnelingdi superficieodispigoloinquantoadipendenzasuparametridiprogetto(materialeespessore delcanale,spessoreeffettivodeldielettrico). Parolechiave:tunnelFET,simulazionequantistica,interruttoreadaltapendenzasottosoglia, analisicomparativadicircuiti,tunnnelingbanda-banda,modellizzazioneanalitica,simula- zionenumerica,metodoadelementifiniti,dimensionalitàdigasdiportatoridicarica,densità distati(DOS),tunneling2D-2D,controdopaggio,eterogate,doppiostratoelettrone-lacuna. viii List of Publications Partsofthisthesishavebeenpublishedinthepaperslistedbelow: 1. C.Alper,J.L.Padilla,P.Palestri,A.M.Ionescu."Anovelreconfigurablesub-0.25Vdigital logicfamilyusingtheelectron-holebilayerTFET,"IEEETransactionsonElectronDevices, Inpreparation. 2. D.Esseni,P.Palestri,M.Pala,C.Alper1,T.Rollo."Areviewofselectedtopicsinphysics basedmodellingofsmallslopetransistorsbasedonband-to-band-tunnelling,"Semi- conductorScienceandTechnology,Inpreparation. 3. C.Alper,J.L.Padilla,P.Palestri,A.M.Ionescu. "Impactofdevicegeometryofthefin Electron-HoleBilayerTunnelFET,"ESSDERC2016-46thEuropeanSolidStateDevice ResearchConference,Sept.12-15,2016. 4. C.Alper,P.Palestri,J.L.Padilla,A.M.Ionescu."TheElectron-HoleBilayerTFET:Dimen- sionalityEffectsandOptimization,"IEEETransactionsonElectronDevices,63(6),pp. 2603-2609,2016. 5. C.Alper,P.Palestri,J.L.Padilla,A.M.Ionescu."Underlapcounterdopingasanefficient meanstosuppresslateralleakageintheelectron-holebilayertunnelFET,"Semiconduc- torScienceandTechnology,31(4),pp.045001,2016. 6. C.Alper,M.Visciarelli,P.Palestri,J.L.Padilla,A.Gnudi,E.Gnani,A.M.Ionescu."Mod- elingtheimaginarybranchinIII-Vtunnelingdevices:Effectivemassvsk·p,"SISPAD 2015,Sept.9-11,2015. 7. C.Alper,P.Palestri,J.L.Padilla,A.Gnudi,R.Grassi,E.Gnani,M.LuisierandA.M.Ionescu. "Efficientquantummechanicalsimulationofband-to-bandtunneling,"EUROSOI-ULIS 2015,Jan.26-28,2015. 8. A. M. Ionescu, C. Alper, J. L. Padilla, L. Lattanzio, P. Palestri. "Electron-hole bilayer deepsubthermalelectronicswitch: Physics,promiseandchallenges,"2014SOI-3D- SubthresholdMicroelectronicsTechnologyUnifiedConference(S3S),Oct.6-9,2014. 9. C. Alper, P. Palestri, L. Lattanzio, J. L. Padilla and A. M. Ionescu. "Two dimensional quantummechanicalsimulationoflowdimensionaltunnelingdevices,"SolidState Electronics,113,pp.167-172,2015. 1FinalauthororderingTBD. ix ListofPublications 10. C.Alper,L.DeMichielis,L.Lattanzio,P.Palestri,L.SelmiandA.M.Ionescu."Quantum mechanicalsimulationofthegermaniumelectron-holebilayerTFET,"IEEETransactions onElectronDevices,60(9),pp.2754-2760,2013. Acompletelistofpublicationscanbefoundattheendofthethesis. x
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