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1、TransportPropertiesofChiralCarbonNanotubesEdwardMiddletonStudentNumber:(9995005)Supervisor:DrRiichiroSaitoLaboratory:Kimura-SaitoLaboratoryJUSSTstudentfromApril1999toMarch20Micro-electronicEngineeringDivisionDepartmentofElectronicEngineeringTheUniversityofElectro-CommunicationsFebruar
2、y8,2000AcknowledgmentsIwouldliketoacknowledgetheassistanceofDrRiichiroSaitoforhiskindwordsandenthusiasmintheproject.Iwouldfurtherliketoacknowledgethe nancialsupportoftheMinistryofEducationthroughtheJUSSTprograminmakingthisworkpossible.furthermoreIwouldliketothankbothTheUniversityofEle
3、ctro-communicationsandGrithUniversityfortheirsupportoftheexchangeprogram.1AbstractWeareexploringagroupofverysmallstructuresthathaveextremelyinterestingproperties.Thesestructuresaresosmallthattheydon'tadheretothelawsofclassicalphysics.Thesestructurescanonlybarelybeseenwiththeaidofpowe
4、rfulmicroscopesuchasScanningTunnelingMicroscopesSTMandAtomicForceMicroscopesAFM.Butmanypeoplebelievetheyarethekeytoshrinkingcurrentelectronicsintothequantumdomain.ThesestructuresareSingleWallCarbonNanotubesSWCN.Carbonnanotubeshaveastructurethatresemblesagraphenesheetroledintoatube.The
5、structureofSWCN'shasamirrorsymmetryfortwo-typesofnanotubes,armchairandzigzagnanotubes,andtheremainingnanotubeshaveachiralsymmetry.WehaveinvestigatedthetransportpropertiesofchiralSWCN.OurworkinvolvesdeterminingtheelectricaltransportpropertiesofchiralSWCN.TodothiswehavedevelopedaGreen's
6、functionmethodbasedonLandauer'sformalismtocalculatetheconductanceofarbitrarySWCN's.Wehavecreatedaprogramthatimplementsthismethodandhaveusedittotestarangeofstructures.Wehaveobtainedgoodresultsforanumberofimportantcasesandgoodpartialresults(numberofchannels)foralmostallSWCNwehavetested.
7、WehavebeenabletoverifythepartialresultsagainstboththeenergydispersionrelationEDRcalculationsandthestructurallyimposedupperlimit.Furtherworkisnecessarytocompletelyresolvesomeoutstandingproblems.Contents1Introduction11.1Purpose................................11.2Transport...............
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