SEMICONDUCTOR DEViCE FUNDAMENTALS Robert F. Pierret SchoolofElectricalandComputerEitginecrjttg PstrducUniversity A “V ADDISONWESLEYPUBLTSmNGCOMPANY SDydoRnneeayMdiin-llgsS,.inMOgnaatspasoraircoehu--sWTetotoskkyi-on,M,h‘eaMtmtlaedEPriiadsrgkl‘,oeCSdoonl.ifJoAoramnnisatc-n-MijNailreanwn‘Y-BoProkanrnis —KatherineHarutunian AssociateEditor HelenWythe Se,oorProdactio,tSopen’isor HughCrawford ManaafactarisagSupervisor BarbaraAtkinson AssociateCoverDesignSupervisor PeterBtaiwas Csverdesign KennethJ.Wilson Textdesign JoyceGrandy Copyeditor SandraRigney Productis,tPackagingServices 0&STypesetters,Inc. Composition ‘TIteitalevoiceinside,tevergroiv.sartyolder-.” Publishers’DesignandProductionServices,Inc. Illustrations FrankPierret(1906—1994) LibraryofCongressCataloging-in-PublicationData Pierret,Robert1°. Snmicnnductordnvinefundamentals/RobertF.Pierrei. tentadesusdos. ISBN0-20t-54393-l I, Semiconductors I. Title. TK787l.85.P484 t996 62l.38152—dc2O 95-17387 CIP Manyofthedesignationsusedbymanufacturersandsellerstndistinguishtheirproductsareclaimed attrademarks.Wherethesedesignationsappearinthishonk,aridAddison-Wesleywasowaraofa trademarkclaim,thednsignanonshatebeenprintedisinitialcopsneat!caps. MortonisaregisteredtrademsrkofTireMathWnrks,tee., 24PrimaParkWay.Namick.MA01760-1500. Phone:(5081653-1415 Fax:(508)653-2997 E-mail:[email protected] WWW hctp //wwca.rsatlicsocko.com AccessthelatestinrfornsationaboutAddisun-WesleybooksfromnutInternetgophersiteornurhh’ortd WideWebpage: gopher uw.com http://sswv.ocr.com/cseeig/ Copyright:©1996byAddison-WesleyPublishingCempany,Inc. ReprintodwithcorrectionsMarch,1996 Altrightsreserved.Nopartofthispublicationmaybnreprnducnd.sturedinaretrievalsystem,or transmittedinanyformorbyanyereans,electronic,mechanical,photocopying,encerding.erother wise,withoutthrwrittenpermissionefthepublisher. PridedioihnUnitedStatesofAmerica SEMICONDUCTOR DEViCE FUNDAMENTALS Robert F. Pierret SchoolofElectricalandComputerEitginecrjttg PstrducUniversity A “V ADDISONWESLEYPUBLTSmNGCOMPANY SDydoRnneeayMdiin-llgsS,.inMOgnaatspasoraircoehu--sWTetotoskkyi-on,M,h‘eaMtmtlaedEPriiadsrgkl‘,oeCSdoonl.ifJoAoramnnisatc-n-MijNailreanwn‘Y-BoProkanrnis —KatherineHarutunian AssociateEditor HelenWythe Se,oorProdactio,tSopen’isor HughCrawford ManaafactarisagSupervisor BarbaraAtkinson AssociateCoverDesignSupervisor PeterBtaiwas Csverdesign KennethJ.Wilson Textdesign JoyceGrandy Copyeditor SandraRigney Productis,tPackagingServices 0&STypesetters,Inc. Composition ‘TIteitalevoiceinside,tevergroiv.sartyolder-.” Publishers’DesignandProductionServices,Inc. Illustrations FrankPierret(1906—1994) LibraryofCongressCataloging-in-PublicationData Pierret,Robert1°. Snmicnnductordnvinefundamentals/RobertF.Pierrei. tentadesusdos. ISBN0-20t-54393-l I, Semiconductors I. Title. TK787l.85.P484 t996 62l.38152—dc2O 95-17387 CIP Manyofthedesignationsusedbymanufacturersandsellerstndistinguishtheirproductsareclaimed attrademarks.Wherethesedesignationsappearinthishonk,aridAddison-Wesleywasowaraofa trademarkclaim,thednsignanonshatebeenprintedisinitialcopsneat!caps. MortonisaregisteredtrademsrkofTireMathWnrks,tee., 24PrimaParkWay.Namick.MA01760-1500. Phone:(5081653-1415 Fax:(508)653-2997 E-mail:[email protected] WWW hctp //wwca.rsatlicsocko.com AccessthelatestinrfornsationaboutAddisun-WesleybooksfromnutInternetgophersiteornurhh’ortd WideWebpage: gopher uw.com http://sswv.ocr.com/cseeig/ Copyright:©1996byAddison-WesleyPublishingCempany,Inc. ReprintodwithcorrectionsMarch,1996 Altrightsreserved.Nopartofthispublicationmaybnreprnducnd.sturedinaretrievalsystem,or transmittedinanyformorbyanyereans,electronic,mechanical,photocopying,encerding.erother wise,withoutthrwrittenpermissionefthepublisher. PridedioihnUnitedStatesofAmerica SEMICONDUCTOR DEViCE FUNDAMENTALS Robert F. Pierret SchoolofElectricalandComputerEitginecrjttg PstrducUniversity A “V ADDISONWESLEYPUBLTSmNGCOMPANY SDydoRnneeayMdiin-llgsS,.inMOgnaatspasoraircoehu--sWTetotoskkyi-on,M,h‘eaMtmtlaedEPriiadsrgkl‘,oeCSdoonl.ifJoAoramnnisatc-n-MijNailreanwn‘Y-BoProkanrnis —KatherineHarutunian AssociateEditor HelenWythe Se,oorProdactio,tSopen’isor HughCrawford ManaafactarisagSupervisor BarbaraAtkinson AssociateCoverDesignSupervisor PeterBtaiwas Csverdesign KennethJ.Wilson Textdesign JoyceGrandy Copyeditor SandraRigney Productis,tPackagingServices 0&STypesetters,Inc. Composition ‘TIteitalevoiceinside,tevergroiv.sartyolder-.” Publishers’DesignandProductionServices,Inc. Illustrations FrankPierret(1906—1994) LibraryofCongressCataloging-in-PublicationData Pierret,Robert1°. Snmicnnductordnvinefundamentals/RobertF.Pierrei. tentadesusdos. ISBN0-20t-54393-l I, Semiconductors I. Title. TK787l.85.P484 t996 62l.38152—dc2O 95-17387 CIP Manyofthedesignationsusedbymanufacturersandsellerstndistinguishtheirproductsareclaimed attrademarks.Wherethesedesignationsappearinthishonk,aridAddison-Wesleywasowaraofa trademarkclaim,thednsignanonshatebeenprintedisinitialcopsneat!caps. MortonisaregisteredtrademsrkofTireMathWnrks,tee., 24PrimaParkWay.Namick.MA01760-1500. Phone:(5081653-1415 Fax:(508)653-2997 E-mail:[email protected] WWW hctp //wwca.rsatlicsocko.com AccessthelatestinrfornsationaboutAddisun-WesleybooksfromnutInternetgophersiteornurhh’ortd WideWebpage: gopher uw.com http://sswv.ocr.com/cseeig/ Copyright:©1996byAddison-WesleyPublishingCempany,Inc. ReprintodwithcorrectionsMarch,1996 Altrightsreserved.Nopartofthispublicationmaybnreprnducnd.sturedinaretrievalsystem,or transmittedinanyformorbyanyereans,electronic,mechanical,photocopying,encerding.erother wise,withoutthrwrittenpermissionefthepublisher. PridedioihnUnitedStatesofAmerica SEMICONDUCTOR DEViCE FUNDAMENTALS Robert F. Pierret SchoolofElectricalandComputerEitginecrjttg PstrducUniversity A “V ADDISONWESLEYPUBLTSmNGCOMPANY SDydoRnneeayMdiin-llgsS,.inMOgnaatspasoraircoehu--sWTetotoskkyi-on,M,h‘eaMtmtlaedEPriiadsrgkl‘,oeCSdoonl.ifJoAoramnnisatc-n-MijNailreanwn‘Y-BoProkanrnis —KatherineHarutunian AssociateEditor HelenWythe Se,oorProdactio,tSopen’isor HughCrawford ManaafactarisagSupervisor BarbaraAtkinson AssociateCoverDesignSupervisor PeterBtaiwas Csverdesign KennethJ.Wilson Textdesign JoyceGrandy Copyeditor SandraRigney Productis,tPackagingServices 0&STypesetters,Inc. Composition ‘TIteitalevoiceinside,tevergroiv.sartyolder-.” Publishers’DesignandProductionServices,Inc. Illustrations FrankPierret(1906—1994) LibraryofCongressCataloging-in-PublicationData Pierret,Robert1°. Snmicnnductordnvinefundamentals/RobertF.Pierrei. tentadesusdos. ISBN0-20t-54393-l I, Semiconductors I. Title. TK787l.85.P484 t996 62l.38152—dc2O 95-17387 CIP Manyofthedesignationsusedbymanufacturersandsellerstndistinguishtheirproductsareclaimed attrademarks.Wherethesedesignationsappearinthishonk,aridAddison-Wesleywasowaraofa trademarkclaim,thednsignanonshatebeenprintedisinitialcopsneat!caps. MortonisaregisteredtrademsrkofTireMathWnrks,tee., 24PrimaParkWay.Namick.MA01760-1500. Phone:(5081653-1415 Fax:(508)653-2997 E-mail:[email protected] WWW hctp //wwca.rsatlicsocko.com AccessthelatestinrfornsationaboutAddisun-WesleybooksfromnutInternetgophersiteornurhh’ortd WideWebpage: gopher uw.com http://sswv.ocr.com/cseeig/ Copyright:©1996byAddison-WesleyPublishingCempany,Inc. ReprintodwithcorrectionsMarch,1996 Altrightsreserved.Nopartofthispublicationmaybnreprnducnd.sturedinaretrievalsystem,or transmittedinanyformorbyanyereans,electronic,mechanical,photocopying,encerding.erother wise,withoutthrwrittenpermissionefthepublisher. PridedioihnUnitedStatesofAmerica PREFACE Whyanothertextonsolidslatedevices?Theauthorisawareofatleust 14undergraduate textspublishedonthesubjectduringthepastdecade.Althoughseveralmotivatingfactors couldbecited,aveiysiguificantfactorsvasthedesiretowriteahookforthenextmilieu niom(aBook2000sotospeak)thatsuccessfullyincorporatescomputer-assistedleurnieg. Inarecentsurvey,membersoftheUndcrgradttateCorricutemCommitteeintheScheetof ElectricalandComputerEngineeriegatPuedseUniversitylistedintegrationofthecom palerintothelearningprocessmthenumbereecpriority.Nationally,enisersilycensor tiumshavehccu forissed wlsichemphasizecomputer-assistedlearning.InJanamy 1992. distributionbegaisoftheStudentEditionofM.-titoe,essentiallyacopyoftheoriginal MATI.Aumanualbundledwish uloss-costversionofshemath-lootssoftsrare.Over37.000 copiesofthebootcJsoftsvarcweresoldinthefirstycartTentsandbooksonavarietyof topicsfroseseveral publishersaxenowavailablethatnsekespecificaseoftheMATLAB software. Thedirection isclearas socproceed intothe second millennium: Cumpesvr assistedlearnusgsvillbzcvnieesoreandmoreprevalent.Indealingsvithsolidstatedeviccs, liecmsspsstcrallosesotttoaddressmorerealisticprohlems,tomorereadilyexperiment mitts“wtsal-if’ scenarios,andtoconveniretlyahtainagraphicaloutput.Anentiredevice characteristiccanoftenhecosepulergesseratedwithlesstimeandeffortthanasmallsetof manuallycalculatedsingle-pointvalues. ItshouldbeclarifiedIlsatthepresenttentisnotatotallynewentryinthefield,butis derivedinpartfromVolumes1—tvoftheAddison-WesleyModularSeriesenSolidState Devices.Lesttherebeamisunderstanding,thelatestversionsofthevolumesintheModu larSerieswerenetsiesplygluedtogether.Totheconlrary,morethanhalfoflhcmaterial coverageinthefeorvatanmeswascompletelyrewritten.Moreover,seseralsappleasental sectionsandtwoadditionalchapterssnereaddedtotIreVelnnsesI—IVentline.Thenewlent alsocontainscomputer-basedtentexercisesandend-of-chapterproblems,plusanumber ofotherspecialfeaturesthatarefollydescribedintheGeneralIntroduction. Injestabssutanyengineeringendeavortherearetradeoffs.Devicedesignisreplete withtradeoffs.Tradeoftsalsoenterintothedesignofabook.Forexample,afewtopics canbecoveredindetail(depth)orlessercoveragecanbegiventoseveraltopicslbreadsh). Sunilarlyonecanemphasizesheunderstandingofcosscepssoroptissazethetransmissionof factealiaforniatien. VotamesI—tv in the ModularSeriesoreknown forstreirpedantic depthofcoverageemphusiniisgconcepts.Whileretainingshesamebasicdepthofcoverage. four“read-only”chaptershavebeenspecificallyuddedhereintobroadenshecoverageand enhancethetransesissienoffactoalinformation.Intheread-onlychapterstheemplsesisis moreondescribingtheenciriugworldofmodern-daydevices.Compoundsemicondocror devices likesvisereceiveincreasedcoveragethroughout the tent.Thereinalsoanatural ‘I Vi nEMle0NDttT0RnueteeraNeeMeNTALn raeeeee eli tradeoffbetsneentheeffortdevotedtodevelopingqaulitativeinsightandsheimplementa anderrors,EricBraggstandsoutasespeciallyperceptiveandhelpful.Theveryeonsciea tionofaquantitativeaealysis.Carefulaoentianhasbeengiventoavoidslightingthede tioussnanuscriplreviesverssvemProf.KennethA.James,CaliforniaStateUnisersity,Long velopmentof“insuition”inlightofthegreatlyesshaocedqaautitativecapabilitiesarising Beach:Prof.PeterLanyen, WorcesterPolytechnicInstitute:Prof.Gary’ S.May,Georgia fromsheintegrateduseofthecomputer.Lastly,svehavenotattemptedsobeall-inclusive tnstmtsseofTeelruology:Prof DieterK.Srhrader,ArizonaStateUniversity:andProf.G.Vs. inthedepthandbreadthofcoverage—manythingsweleftforlater(anothercoarse,other -Strllman,UniversrmyofIllinoisasUrbana-Champaign.Inrecegvitionofufemmimfatassocia books).Hopefully,shepropertradeoffshavebeenechievedwhembysItereaderisreosen tion,aspeciolthamskstoDonPawley,theformereditoratAddison-Wesleywhoenlieedthe ablyknowledgeableaboutthesubjectmatterandacceptablyequippedsoperformdevice aothaeintowrilingthebook.Lastbettrotleast,editorKatherineHamtnnianisIabeered analysesufsercompletingthetent. iledseithsmoothlyimplesnenliagtheproject,andenecoliveossistantAnitaDevinewith ThepresenttestisintendedforandcrgraduatejaniOrsorseniorswhohavehadatleant chreerfellyhandlingmmsanyoftheearlydetails. anintroductoryenposuretoelectricfieldtheory.Chaptersaregronpedintothreemajor divisionsor“parts,” snithPortIIbeingfurthersubdivided intoIIAand lIE.Withsome ProfRobermFFiercer deletions,thematerielineachofthethreepartsiscovereddurissgafive-weeksegmentof SchoolofElectricalandComputerEngineering aane-sementer,three-credit-bane,junior-seniorcourseinElectricalandCempulerEngi PurdueUniversity neeringatPurdneUniversity.Aday-by-dayratmeteoutlineissuppliedanIheInstsncter’s DiskarconspanyingtheSelationsManual.Ifnecessarytomeettimecnrstramets,read-only Chapters4,9. 13,and19couldbedeletedfromthelectureschedule.)Aninstmetormight preferablyassignthechaptersusindependemstreadingsandrewardcompliantstudentsby includingentra-creditexaminationquestiestscoveringthematerial.)StandardChapters12, 14,and 15,enceprfeetltegesseralfield-effectintroductioninSectien l5.t,mayottobe omittedssithlittleor solessincontinuity. AlthoughacompletelistingofspecialfeataresisgiveninrheGeneralIntroduction, instructorsshouldtakespecialstoleoftheProblemInformationTablesinsertedpriorInthe end-of-chapterproblems.Thesetablesshouldproveusefulinassigningproblemsandin dealingwithhemee’orkgraders.Whenfacedwithconstructingatest,instructorsmayalso heinterestedinesuminitsgtheReviewProblemSetsfoundinlbsteini-chapters(identified byadarkenedthnnsbtab)attheesmdofthethreehonkparts.TheReviewProblemSetsare derivedfromold“open-book”and“closed-book”tests.Concerningthecemgoter-based enercisesandproblems,sheuseofrilberthestudentorprofessionalversionofMATLAnit recismmended butnotreqaired.Theits-tenteneecisesolutionsandtheproblemanswers supplied10theiessrucsar,however,domakeaseofMATLAn.Althoughitwouldbehelpful, theaseeneednotbefamiliarwiththeMATLARprogeansatthebeginningofthebook.The MATLAeproblemsinsuccessivechaptersmakeincreasiaglysophisticateduseofthepro gram. In otluerwords, the early exercises and hosoesverkproblems provide a learning Mus’t.Anbyrising hulATLAseapnrietsze.isiscritical,however,thattheaseecompletea largepercentageofthecomputer-basedexercisesandproblemsinthefirstthreechapters. Theexercisesandpeablenasfoundinlaterchapterssotonlyassumeareasonablycompetent useofMATLAB.butalsobaildspantheprogramsdevelopedinIheearlierchapters. TheauthoreratefallyacknowledgeslImeassistaveeofassociates,EE3OSstudents.the cespandeiststoancurlymarketingsurvey,themanusrriptrevtesvers,andAddison-Wesley personnelienrakingBook2000areality.DesvrvrsgofspeciallhartksisAltKeshavarzifor arruagiegthe ummthoe’vsabbaticalatlatel Corporationandforprovidingphotographs of equipmentinsidetheAlbnqtmerqsmefobricatrortfacility. Prof. MarkLundstram alPnrdae Uoiversityseasalsomosthelpfalinsupplyingkeyieformatienaadfigaresforseveralbook sections.Oftheundergraduatestudentsaskedtoenaminethemanascriptforreadability PREFACE Whyanothertextonsolidslatedevices?Theauthorisawareofatleust 14undergraduate textspublishedonthesubjectduringthepastdecade.Althoughseveralmotivatingfactors couldbecited,aveiysiguificantfactorsvasthedesiretowriteahookforthenextmilieu niom(aBook2000sotospeak)thatsuccessfullyincorporatescomputer-assistedleurnieg. Inarecentsurvey,membersoftheUndcrgradttateCorricutemCommitteeintheScheetof ElectricalandComputerEngineeriegatPuedseUniversitylistedintegrationofthecom palerintothelearningprocessmthenumbereecpriority.Nationally,enisersilycensor tiumshavehccu forissed wlsichemphasizecomputer-assistedlearning.InJanamy 1992. distributionbegaisoftheStudentEditionofM.-titoe,essentiallyacopyoftheoriginal MATI.Aumanualbundledwish uloss-costversionofshemath-lootssoftsrare.Over37.000 copiesofthebootcJsoftsvarcweresoldinthefirstycartTentsandbooksonavarietyof topicsfroseseveral publishersaxenowavailablethatnsekespecificaseoftheMATLAB software. Thedirection isclearas socproceed intothe second millennium: Cumpesvr assistedlearnusgsvillbzcvnieesoreandmoreprevalent.Indealingsvithsolidstatedeviccs, liecmsspsstcrallosesotttoaddressmorerealisticprohlems,tomorereadilyexperiment mitts“wtsal-if’ scenarios,andtoconveniretlyahtainagraphicaloutput.Anentiredevice characteristiccanoftenhecosepulergesseratedwithlesstimeandeffortthanasmallsetof manuallycalculatedsingle-pointvalues. ItshouldbeclarifiedIlsatthepresenttentisnotatotallynewentryinthefield,butis derivedinpartfromVolumes1—tvoftheAddison-WesleyModularSeriesenSolidState Devices.Lesttherebeamisunderstanding,thelatestversionsofthevolumesintheModu larSerieswerenetsiesplygluedtogether.Totheconlrary,morethanhalfoflhcmaterial coverageinthefeorvatanmeswascompletelyrewritten.Moreover,seseralsappleasental sectionsandtwoadditionalchapterssnereaddedtotIreVelnnsesI—IVentline.Thenewlent alsocontainscomputer-basedtentexercisesandend-of-chapterproblems,plusanumber ofotherspecialfeaturesthatarefollydescribedintheGeneralIntroduction. Injestabssutanyengineeringendeavortherearetradeoffs.Devicedesignisreplete withtradeoffs.Tradeoftsalsoenterintothedesignofabook.Forexample,afewtopics canbecoveredindetail(depth)orlessercoveragecanbegiventoseveraltopicslbreadsh). Sunilarlyonecanemphasizesheunderstandingofcosscepssoroptissazethetransmissionof factealiaforniatien. VotamesI—tv in the ModularSeriesoreknown forstreirpedantic depthofcoverageemphusiniisgconcepts.Whileretainingshesamebasicdepthofcoverage. four“read-only”chaptershavebeenspecificallyuddedhereintobroadenshecoverageand enhancethetransesissienoffactoalinformation.Intheread-onlychapterstheemplsesisis moreondescribingtheenciriugworldofmodern-daydevices.Compoundsemicondocror devices likesvisereceiveincreasedcoveragethroughout the tent.Thereinalsoanatural ‘I Vi nEMle0NDttT0RnueteeraNeeMeNTALn raeeeee eli tradeoffbetsneentheeffortdevotedtodevelopingqaulitativeinsightandsheimplementa anderrors,EricBraggstandsoutasespeciallyperceptiveandhelpful.Theveryeonsciea tionofaquantitativeaealysis.Carefulaoentianhasbeengiventoavoidslightingthede tioussnanuscriplreviesverssvemProf.KennethA.James,CaliforniaStateUnisersity,Long velopmentof“insuition”inlightofthegreatlyesshaocedqaautitativecapabilitiesarising Beach:Prof.PeterLanyen, WorcesterPolytechnicInstitute:Prof.Gary’ S.May,Georgia fromsheintegrateduseofthecomputer.Lastly,svehavenotattemptedsobeall-inclusive tnstmtsseofTeelruology:Prof DieterK.Srhrader,ArizonaStateUniversity:andProf.G.Vs. inthedepthandbreadthofcoverage—manythingsweleftforlater(anothercoarse,other -Strllman,UniversrmyofIllinoisasUrbana-Champaign.Inrecegvitionofufemmimfatassocia books).Hopefully,shepropertradeoffshavebeenechievedwhembysItereaderisreosen tion,aspeciolthamskstoDonPawley,theformereditoratAddison-Wesleywhoenlieedthe ablyknowledgeableaboutthesubjectmatterandacceptablyequippedsoperformdevice aothaeintowrilingthebook.Lastbettrotleast,editorKatherineHamtnnianisIabeered analysesufsercompletingthetent. iledseithsmoothlyimplesnenliagtheproject,andenecoliveossistantAnitaDevinewith ThepresenttestisintendedforandcrgraduatejaniOrsorseniorswhohavehadatleant chreerfellyhandlingmmsanyoftheearlydetails. anintroductoryenposuretoelectricfieldtheory.Chaptersaregronpedintothreemajor divisionsor“parts,” snithPortIIbeingfurthersubdivided intoIIAand lIE.Withsome ProfRobermFFiercer deletions,thematerielineachofthethreepartsiscovereddurissgafive-weeksegmentof SchoolofElectricalandComputerEngineering aane-sementer,three-credit-bane,junior-seniorcourseinElectricalandCempulerEngi PurdueUniversity neeringatPurdneUniversity.Aday-by-dayratmeteoutlineissuppliedanIheInstsncter’s DiskarconspanyingtheSelationsManual.Ifnecessarytomeettimecnrstramets,read-only Chapters4,9. 13,and19couldbedeletedfromthelectureschedule.)Aninstmetormight preferablyassignthechaptersusindependemstreadingsandrewardcompliantstudentsby includingentra-creditexaminationquestiestscoveringthematerial.)StandardChapters12, 14,and 15,enceprfeetltegesseralfield-effectintroductioninSectien l5.t,mayottobe omittedssithlittleor solessincontinuity. AlthoughacompletelistingofspecialfeataresisgiveninrheGeneralIntroduction, instructorsshouldtakespecialstoleoftheProblemInformationTablesinsertedpriorInthe end-of-chapterproblems.Thesetablesshouldproveusefulinassigningproblemsandin dealingwithhemee’orkgraders.Whenfacedwithconstructingatest,instructorsmayalso heinterestedinesuminitsgtheReviewProblemSetsfoundinlbsteini-chapters(identified byadarkenedthnnsbtab)attheesmdofthethreehonkparts.TheReviewProblemSetsare derivedfromold“open-book”and“closed-book”tests.Concerningthecemgoter-based enercisesandproblems,sheuseofrilberthestudentorprofessionalversionofMATLAnit recismmended butnotreqaired.Theits-tenteneecisesolutionsandtheproblemanswers supplied10theiessrucsar,however,domakeaseofMATLAn.Althoughitwouldbehelpful, theaseeneednotbefamiliarwiththeMATLARprogeansatthebeginningofthebook.The MATLAeproblemsinsuccessivechaptersmakeincreasiaglysophisticateduseofthepro gram. In otluerwords, the early exercises and hosoesverkproblems provide a learning Mus’t.Anbyrising hulATLAseapnrietsze.isiscritical,however,thattheaseecompletea largepercentageofthecomputer-basedexercisesandproblemsinthefirstthreechapters. Theexercisesandpeablenasfoundinlaterchapterssotonlyassumeareasonablycompetent useofMATLAB.butalsobaildspantheprogramsdevelopedinIheearlierchapters. TheauthoreratefallyacknowledgeslImeassistaveeofassociates,EE3OSstudents.the cespandeiststoancurlymarketingsurvey,themanusrriptrevtesvers,andAddison-Wesley personnelienrakingBook2000areality.DesvrvrsgofspeciallhartksisAltKeshavarzifor arruagiegthe ummthoe’vsabbaticalatlatel Corporationandforprovidingphotographs of equipmentinsidetheAlbnqtmerqsmefobricatrortfacility. Prof. MarkLundstram alPnrdae Uoiversityseasalsomosthelpfalinsupplyingkeyieformatienaadfigaresforseveralbook sections.Oftheundergraduatestudentsaskedtoenaminethemanascriptforreadability PREFACE Whyanothertextonsolidslatedevices?Theauthorisawareofatleust 14undergraduate textspublishedonthesubjectduringthepastdecade.Althoughseveralmotivatingfactors couldbecited,aveiysiguificantfactorsvasthedesiretowriteahookforthenextmilieu niom(aBook2000sotospeak)thatsuccessfullyincorporatescomputer-assistedleurnieg. Inarecentsurvey,membersoftheUndcrgradttateCorricutemCommitteeintheScheetof ElectricalandComputerEngineeriegatPuedseUniversitylistedintegrationofthecom palerintothelearningprocessmthenumbereecpriority.Nationally,enisersilycensor tiumshavehccu forissed wlsichemphasizecomputer-assistedlearning.InJanamy 1992. distributionbegaisoftheStudentEditionofM.-titoe,essentiallyacopyoftheoriginal MATI.Aumanualbundledwish uloss-costversionofshemath-lootssoftsrare.Over37.000 copiesofthebootcJsoftsvarcweresoldinthefirstycartTentsandbooksonavarietyof topicsfroseseveral publishersaxenowavailablethatnsekespecificaseoftheMATLAB software. Thedirection isclearas socproceed intothe second millennium: Cumpesvr assistedlearnusgsvillbzcvnieesoreandmoreprevalent.Indealingsvithsolidstatedeviccs, liecmsspsstcrallosesotttoaddressmorerealisticprohlems,tomorereadilyexperiment mitts“wtsal-if’ scenarios,andtoconveniretlyahtainagraphicaloutput.Anentiredevice characteristiccanoftenhecosepulergesseratedwithlesstimeandeffortthanasmallsetof manuallycalculatedsingle-pointvalues. ItshouldbeclarifiedIlsatthepresenttentisnotatotallynewentryinthefield,butis derivedinpartfromVolumes1—tvoftheAddison-WesleyModularSeriesenSolidState Devices.Lesttherebeamisunderstanding,thelatestversionsofthevolumesintheModu larSerieswerenetsiesplygluedtogether.Totheconlrary,morethanhalfoflhcmaterial coverageinthefeorvatanmeswascompletelyrewritten.Moreover,seseralsappleasental sectionsandtwoadditionalchapterssnereaddedtotIreVelnnsesI—IVentline.Thenewlent alsocontainscomputer-basedtentexercisesandend-of-chapterproblems,plusanumber ofotherspecialfeaturesthatarefollydescribedintheGeneralIntroduction. Injestabssutanyengineeringendeavortherearetradeoffs.Devicedesignisreplete withtradeoffs.Tradeoftsalsoenterintothedesignofabook.Forexample,afewtopics canbecoveredindetail(depth)orlessercoveragecanbegiventoseveraltopicslbreadsh). Sunilarlyonecanemphasizesheunderstandingofcosscepssoroptissazethetransmissionof factealiaforniatien. VotamesI—tv in the ModularSeriesoreknown forstreirpedantic depthofcoverageemphusiniisgconcepts.Whileretainingshesamebasicdepthofcoverage. four“read-only”chaptershavebeenspecificallyuddedhereintobroadenshecoverageand enhancethetransesissienoffactoalinformation.Intheread-onlychapterstheemplsesisis moreondescribingtheenciriugworldofmodern-daydevices.Compoundsemicondocror devices likesvisereceiveincreasedcoveragethroughout the tent.Thereinalsoanatural ‘I Vi nEMle0NDttT0RnueteeraNeeMeNTALn raeeeee eli tradeoffbetsneentheeffortdevotedtodevelopingqaulitativeinsightandsheimplementa anderrors,EricBraggstandsoutasespeciallyperceptiveandhelpful.Theveryeonsciea tionofaquantitativeaealysis.Carefulaoentianhasbeengiventoavoidslightingthede tioussnanuscriplreviesverssvemProf.KennethA.James,CaliforniaStateUnisersity,Long velopmentof“insuition”inlightofthegreatlyesshaocedqaautitativecapabilitiesarising Beach:Prof.PeterLanyen, WorcesterPolytechnicInstitute:Prof.Gary’ S.May,Georgia fromsheintegrateduseofthecomputer.Lastly,svehavenotattemptedsobeall-inclusive tnstmtsseofTeelruology:Prof DieterK.Srhrader,ArizonaStateUniversity:andProf.G.Vs. inthedepthandbreadthofcoverage—manythingsweleftforlater(anothercoarse,other -Strllman,UniversrmyofIllinoisasUrbana-Champaign.Inrecegvitionofufemmimfatassocia books).Hopefully,shepropertradeoffshavebeenechievedwhembysItereaderisreosen tion,aspeciolthamskstoDonPawley,theformereditoratAddison-Wesleywhoenlieedthe ablyknowledgeableaboutthesubjectmatterandacceptablyequippedsoperformdevice aothaeintowrilingthebook.Lastbettrotleast,editorKatherineHamtnnianisIabeered analysesufsercompletingthetent. iledseithsmoothlyimplesnenliagtheproject,andenecoliveossistantAnitaDevinewith ThepresenttestisintendedforandcrgraduatejaniOrsorseniorswhohavehadatleant chreerfellyhandlingmmsanyoftheearlydetails. anintroductoryenposuretoelectricfieldtheory.Chaptersaregronpedintothreemajor divisionsor“parts,” snithPortIIbeingfurthersubdivided intoIIAand lIE.Withsome ProfRobermFFiercer deletions,thematerielineachofthethreepartsiscovereddurissgafive-weeksegmentof SchoolofElectricalandComputerEngineering aane-sementer,three-credit-bane,junior-seniorcourseinElectricalandCempulerEngi PurdueUniversity neeringatPurdneUniversity.Aday-by-dayratmeteoutlineissuppliedanIheInstsncter’s DiskarconspanyingtheSelationsManual.Ifnecessarytomeettimecnrstramets,read-only Chapters4,9. 13,and19couldbedeletedfromthelectureschedule.)Aninstmetormight preferablyassignthechaptersusindependemstreadingsandrewardcompliantstudentsby includingentra-creditexaminationquestiestscoveringthematerial.)StandardChapters12, 14,and 15,enceprfeetltegesseralfield-effectintroductioninSectien l5.t,mayottobe omittedssithlittleor solessincontinuity. AlthoughacompletelistingofspecialfeataresisgiveninrheGeneralIntroduction, instructorsshouldtakespecialstoleoftheProblemInformationTablesinsertedpriorInthe end-of-chapterproblems.Thesetablesshouldproveusefulinassigningproblemsandin dealingwithhemee’orkgraders.Whenfacedwithconstructingatest,instructorsmayalso heinterestedinesuminitsgtheReviewProblemSetsfoundinlbsteini-chapters(identified byadarkenedthnnsbtab)attheesmdofthethreehonkparts.TheReviewProblemSetsare derivedfromold“open-book”and“closed-book”tests.Concerningthecemgoter-based enercisesandproblems,sheuseofrilberthestudentorprofessionalversionofMATLAnit recismmended butnotreqaired.Theits-tenteneecisesolutionsandtheproblemanswers supplied10theiessrucsar,however,domakeaseofMATLAn.Althoughitwouldbehelpful, theaseeneednotbefamiliarwiththeMATLARprogeansatthebeginningofthebook.The MATLAeproblemsinsuccessivechaptersmakeincreasiaglysophisticateduseofthepro gram. In otluerwords, the early exercises and hosoesverkproblems provide a learning Mus’t.Anbyrising hulATLAseapnrietsze.isiscritical,however,thattheaseecompletea largepercentageofthecomputer-basedexercisesandproblemsinthefirstthreechapters. Theexercisesandpeablenasfoundinlaterchapterssotonlyassumeareasonablycompetent useofMATLAB.butalsobaildspantheprogramsdevelopedinIheearlierchapters. TheauthoreratefallyacknowledgeslImeassistaveeofassociates,EE3OSstudents.the cespandeiststoancurlymarketingsurvey,themanusrriptrevtesvers,andAddison-Wesley personnelienrakingBook2000areality.DesvrvrsgofspeciallhartksisAltKeshavarzifor arruagiegthe ummthoe’vsabbaticalatlatel Corporationandforprovidingphotographs of equipmentinsidetheAlbnqtmerqsmefobricatrortfacility. Prof. MarkLundstram alPnrdae Uoiversityseasalsomosthelpfalinsupplyingkeyieformatienaadfigaresforseveralbook sections.Oftheundergraduatestudentsaskedtoenaminethemanascriptforreadability PREFACE Whyanothertextonsolidslatedevices?Theauthorisawareofatleust 14undergraduate textspublishedonthesubjectduringthepastdecade.Althoughseveralmotivatingfactors couldbecited,aveiysiguificantfactorsvasthedesiretowriteahookforthenextmilieu niom(aBook2000sotospeak)thatsuccessfullyincorporatescomputer-assistedleurnieg. Inarecentsurvey,membersoftheUndcrgradttateCorricutemCommitteeintheScheetof ElectricalandComputerEngineeriegatPuedseUniversitylistedintegrationofthecom palerintothelearningprocessmthenumbereecpriority.Nationally,enisersilycensor tiumshavehccu forissed wlsichemphasizecomputer-assistedlearning.InJanamy 1992. distributionbegaisoftheStudentEditionofM.-titoe,essentiallyacopyoftheoriginal MATI.Aumanualbundledwish uloss-costversionofshemath-lootssoftsrare.Over37.000 copiesofthebootcJsoftsvarcweresoldinthefirstycartTentsandbooksonavarietyof topicsfroseseveral publishersaxenowavailablethatnsekespecificaseoftheMATLAB software. Thedirection isclearas socproceed intothe second millennium: Cumpesvr assistedlearnusgsvillbzcvnieesoreandmoreprevalent.Indealingsvithsolidstatedeviccs, liecmsspsstcrallosesotttoaddressmorerealisticprohlems,tomorereadilyexperiment mitts“wtsal-if’ scenarios,andtoconveniretlyahtainagraphicaloutput.Anentiredevice characteristiccanoftenhecosepulergesseratedwithlesstimeandeffortthanasmallsetof manuallycalculatedsingle-pointvalues. ItshouldbeclarifiedIlsatthepresenttentisnotatotallynewentryinthefield,butis derivedinpartfromVolumes1—tvoftheAddison-WesleyModularSeriesenSolidState Devices.Lesttherebeamisunderstanding,thelatestversionsofthevolumesintheModu larSerieswerenetsiesplygluedtogether.Totheconlrary,morethanhalfoflhcmaterial coverageinthefeorvatanmeswascompletelyrewritten.Moreover,seseralsappleasental sectionsandtwoadditionalchapterssnereaddedtotIreVelnnsesI—IVentline.Thenewlent alsocontainscomputer-basedtentexercisesandend-of-chapterproblems,plusanumber ofotherspecialfeaturesthatarefollydescribedintheGeneralIntroduction. Injestabssutanyengineeringendeavortherearetradeoffs.Devicedesignisreplete withtradeoffs.Tradeoftsalsoenterintothedesignofabook.Forexample,afewtopics canbecoveredindetail(depth)orlessercoveragecanbegiventoseveraltopicslbreadsh). Sunilarlyonecanemphasizesheunderstandingofcosscepssoroptissazethetransmissionof factealiaforniatien. VotamesI—tv in the ModularSeriesoreknown forstreirpedantic depthofcoverageemphusiniisgconcepts.Whileretainingshesamebasicdepthofcoverage. four“read-only”chaptershavebeenspecificallyuddedhereintobroadenshecoverageand enhancethetransesissienoffactoalinformation.Intheread-onlychapterstheemplsesisis moreondescribingtheenciriugworldofmodern-daydevices.Compoundsemicondocror devices likesvisereceiveincreasedcoveragethroughout the tent.Thereinalsoanatural ‘I Vi nEMle0NDttT0RnueteeraNeeMeNTALn raeeeee eli tradeoffbetsneentheeffortdevotedtodevelopingqaulitativeinsightandsheimplementa anderrors,EricBraggstandsoutasespeciallyperceptiveandhelpful.Theveryeonsciea tionofaquantitativeaealysis.Carefulaoentianhasbeengiventoavoidslightingthede tioussnanuscriplreviesverssvemProf.KennethA.James,CaliforniaStateUnisersity,Long velopmentof“insuition”inlightofthegreatlyesshaocedqaautitativecapabilitiesarising Beach:Prof.PeterLanyen, WorcesterPolytechnicInstitute:Prof.Gary’ S.May,Georgia fromsheintegrateduseofthecomputer.Lastly,svehavenotattemptedsobeall-inclusive tnstmtsseofTeelruology:Prof DieterK.Srhrader,ArizonaStateUniversity:andProf.G.Vs. inthedepthandbreadthofcoverage—manythingsweleftforlater(anothercoarse,other -Strllman,UniversrmyofIllinoisasUrbana-Champaign.Inrecegvitionofufemmimfatassocia books).Hopefully,shepropertradeoffshavebeenechievedwhembysItereaderisreosen tion,aspeciolthamskstoDonPawley,theformereditoratAddison-Wesleywhoenlieedthe ablyknowledgeableaboutthesubjectmatterandacceptablyequippedsoperformdevice aothaeintowrilingthebook.Lastbettrotleast,editorKatherineHamtnnianisIabeered analysesufsercompletingthetent. iledseithsmoothlyimplesnenliagtheproject,andenecoliveossistantAnitaDevinewith ThepresenttestisintendedforandcrgraduatejaniOrsorseniorswhohavehadatleant chreerfellyhandlingmmsanyoftheearlydetails. anintroductoryenposuretoelectricfieldtheory.Chaptersaregronpedintothreemajor divisionsor“parts,” snithPortIIbeingfurthersubdivided intoIIAand lIE.Withsome ProfRobermFFiercer deletions,thematerielineachofthethreepartsiscovereddurissgafive-weeksegmentof SchoolofElectricalandComputerEngineering aane-sementer,three-credit-bane,junior-seniorcourseinElectricalandCempulerEngi PurdueUniversity neeringatPurdneUniversity.Aday-by-dayratmeteoutlineissuppliedanIheInstsncter’s DiskarconspanyingtheSelationsManual.Ifnecessarytomeettimecnrstramets,read-only Chapters4,9. 13,and19couldbedeletedfromthelectureschedule.)Aninstmetormight preferablyassignthechaptersusindependemstreadingsandrewardcompliantstudentsby includingentra-creditexaminationquestiestscoveringthematerial.)StandardChapters12, 14,and 15,enceprfeetltegesseralfield-effectintroductioninSectien l5.t,mayottobe omittedssithlittleor solessincontinuity. AlthoughacompletelistingofspecialfeataresisgiveninrheGeneralIntroduction, instructorsshouldtakespecialstoleoftheProblemInformationTablesinsertedpriorInthe end-of-chapterproblems.Thesetablesshouldproveusefulinassigningproblemsandin dealingwithhemee’orkgraders.Whenfacedwithconstructingatest,instructorsmayalso heinterestedinesuminitsgtheReviewProblemSetsfoundinlbsteini-chapters(identified byadarkenedthnnsbtab)attheesmdofthethreehonkparts.TheReviewProblemSetsare derivedfromold“open-book”and“closed-book”tests.Concerningthecemgoter-based enercisesandproblems,sheuseofrilberthestudentorprofessionalversionofMATLAnit recismmended butnotreqaired.Theits-tenteneecisesolutionsandtheproblemanswers supplied10theiessrucsar,however,domakeaseofMATLAn.Althoughitwouldbehelpful, theaseeneednotbefamiliarwiththeMATLARprogeansatthebeginningofthebook.The MATLAeproblemsinsuccessivechaptersmakeincreasiaglysophisticateduseofthepro gram. In otluerwords, the early exercises and hosoesverkproblems provide a learning Mus’t.Anbyrising hulATLAseapnrietsze.isiscritical,however,thattheaseecompletea largepercentageofthecomputer-basedexercisesandproblemsinthefirstthreechapters. Theexercisesandpeablenasfoundinlaterchapterssotonlyassumeareasonablycompetent useofMATLAB.butalsobaildspantheprogramsdevelopedinIheearlierchapters. TheauthoreratefallyacknowledgeslImeassistaveeofassociates,EE3OSstudents.the cespandeiststoancurlymarketingsurvey,themanusrriptrevtesvers,andAddison-Wesley personnelienrakingBook2000areality.DesvrvrsgofspeciallhartksisAltKeshavarzifor arruagiegthe ummthoe’vsabbaticalatlatel Corporationandforprovidingphotographs of equipmentinsidetheAlbnqtmerqsmefobricatrortfacility. Prof. MarkLundstram alPnrdae Uoiversityseasalsomosthelpfalinsupplyingkeyieformatienaadfigaresforseveralbook sections.Oftheundergraduatestudentsaskedtoenaminethemanascriptforreadability CONTENTS GeneralIntroduction xxi PartI SemiconductorFundamentals Chapter1 Sensicundssrtors:AGeneralintroduction 1.1 GeneralMateriall’roperties 3 1.1.1 Composition 3 1.1.2 Parity 5 1.1.3 Strttcture 6 1.2 CrystalStructure 6 1.2.1 TIteUttitCellCotteept 7 1.2.2 Sinspte3-DUnitCells 8 1.2.3 Semicandt,ctorLattices 9 1.2.4 MillerIndices 12 1.3 CrystalGrowth 16 1.3.1 GbtaiaiugUltrapareSi 16 1.3.2 Siagle-CrystalParmation 17 .4 Santmary 19 Problems 19 Chapter2 CarrierModeling 23 2.1 TheQnautizasionConcept 23 2.2 SemiconductorModels 25 2.2.1 EoodingModel 26 2.2.2 EnergyEansiModel 26 2.2.3 Carriers 29 2.2.4 BandGapatsdMaterialCtassifiratioa 31 2.3 CarrierProperties 32 2.3.1 Charge 32 2.3.2 EffectiveMass 32 2.3.3 CarrierNambersinIntrinsicMaterial 34 a neutcoNunceonDEVtCEruouuMuNTALn CONTENTS ul 2.3.4 MattipalatiatsafCarrierNambers—Daping 35 R—f5CenterRecombitaation 105 2.3.5 Carrier-RelatedTermiavlagy 40 AagerRecombination 107 2.4 StateandCarrierDistributiass 40 GenerationProcesses 107 2.4.1 DetttityafStates 41 3.3.2 MamensamConsiderations 107 2.4.2 ThePertttiPsmctioa 42 3.3.3 R—GStatistics Ito 2.4.3 EquilibriuitsDistributionofCarriers 46 Photogeneration to 2.5 EqailibriateCarrierConcentrations 49 IndirectThermalRecombination—Generation 112 2.5.1 Pormelasforaaedta 49 3.3.4 MinorityCarrierLifetimes 116 2.5.2 AltureativeEepressieesfareandp 52 GeneralInformation 116 2.5.3 a aedthetspPradact 53 ALifetimeMeasurement 116 2.5.4 ChargeNeutralityRelationship 57 3.4 EquationsofSlate t20 2.5.5 CttrrierConcentrationCalcalatians 59 3.4.1 ConlinuityEquations 121 2.5.6 DetermitsationofEr 61 3.4.2 MinorityCarrierDiffusionEquations 122 2.5.7 CarrierConcentrationTemperatureDependence 65 3.4.3 SimptificationsandSolations 124 2.6 SummaryendConcludingComments 67 3.4.4 ProblemSolving 124 Problems 69 SampleProblemNo. I 124 SampleProblemNa.2 128 Chapter3 CarrierAction 75 3.5 SupplementalConcepts 131 3.1 Drift 75 3.5.1 DiffusionLengths 13t 3.1.1 Deheition—Visnaliaation 75 3.5.2 Quasi-PermiLevels 132 3.1.2 DriECarrent 76 3.6 SummaryandConcludingComtoents 136 33..11..34 MReosbisitliivtyity 7859 Problems 138 3.1.5 BandBendiag 89 Chapter4 RasicnofDeviceFabrication 149 3.2 Diffusion 94 4.1 PabricationProcessea 149 3.2.! Dehnitioa—Visoalization 94 4.1.1 Gsidatian 149 3.2.2 Hot-PoitstProbeMeasurement 97 4.1.2 Diffusion 152 3.2.3 DiffasionandTotalCnrrcoLs 98 4.1.3 laoInaplantalian 155 DiffasionCarrent.s 98 4.1.4 Lithography 159 TotalCnrrettts 99 4.1.5 Thin-FilrtrDeposition 162 3.2.4 RelatitsgDiffasionCoeffirients/Mobilisies 99 Evstporation 162 CottstancyoftheFermiLevel 99 Spattering 162 CtsrreutPlowUnderEqailibriamConditions tot ChemicalVaporDeposition(CVD) 164 EinsteinRelationship lot 4.1.6 Epitasy 164 3.3 Recombinatims—Generation 105 4.2 DeviceFabricationExamples 165 3.3.1 Debnitiost—Visnatieation 105 4.2.1 paJunctionDiodeFabrication 166 Band-to-BaadRecombinatiaa 105 4.2.2 ComputerCPUProcessPlow 166 4.3 Sammary 174