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《An RF Circuit Model for Carbon Nanotubes IEEE Transactions on nanotechnology V2 P55Y2003》由会员上传分享,免费在线阅读,更多相关内容在行业资料-天天文库。
1、IEEETRANSACTIONSONNANOTECHNOLOGY,VOL.2,NO.1,MARCH200355AnRFCircuitModelforCarbonNanotubesP.J.BurkeAbstract—WedevelopanRFcircuitmodelforsinglewalledcarbonnanotubesforbothdcandcapacitivelycontactedgeome-tries.Bymodelingthenanotubeasananotransmissionlinewithdistributedkineticandmagneticinductance
2、aswellasdistributedquantumandelectrostaticcapacitance,wecalculatethecomplex,frequencydependentimpedanceforavarietyofmeasurementge-ometries.Excitingvoltagewavesonthenanotransmissionlineisequivalenttodirectlyexcitingtheyet-to-beobservedonedimen-Fig.1.Circuitdiagramfor1-Dsystemofspinlesselectrons
3、.Symbolsaredefinedperunitlength.sionalplasmons,thelowenergyexcitationofaLüttingerliquid.IndexTerms—Circuitmodel,impedence,Lüttingerliquid,nan-otube,RF.Lagrangianofaone-dimensionalelectrongas(1-DEG),anex-pressionforthequantumcapacitance(whichwasnotimportantinour2-Dexperiments)aswellasthekinetic
4、inductanceofaI.INTRODUCTIONSWNTisderived.Inreference[8],[9]thetunnelconductanceatURGOALINthispaperistodescribeanRFcircuitmodelhighvoltagesisrelatedtoelectricalparameters(thecharacter-Ofortheeffectiveelectrical(dctoGHztoTHz)propertiesisticimpedance)ofthetransmissionlineinamultiwallednan-ofcarbo
5、nnanotubes.Whilewerestrictourattentiontometallicotube.Inbothofthesediscussions,thedistributedinductancesinglewallednanotubes(SWNTs),thegeneralapproachcanbeandcapacitanceperunitlengthformatransmissionline,whichusedtodescribesemiconductingcarbonnanotubes,multiwalledisanelectricalengineer’sdescri
6、ptionofa1-Dplasmon.carbonnanotubes,quantumwiresinGaAsheterostructures[1],InwhatfollowswepresentanRFcircuitmodelbasedonandanyothersystemofone-dimensional(1-D)interactingelec-thetransmissionlinepropertiesofacarbonnanotube.Weusetrons[2].Anadditionalgoalofthispaperistodescribeatech-thismodeltocalc
7、ulatethenanotubedynamicalimpedanceniquethatcanbeusedtodirectlyexcite1-Dplasmonsincarbon(realandimaginary)asafunctionoffrequency,aswellasthenanotubesusingamicrowavesignalgenerator.Thistechniqueacdampingandwavevelocity.Wediscusspossiblepr