Analytical solution of electronic transport through abenzene molecule using lattice Green’s functions电子输运地解析解 基于格子格林函数地苯分子.pdf

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1、AnalyticalsolutionofelectronictransportthroughabenzenemoleculeusinglatticeGreen'sfunctionsE.J.C.DiasandN.M.R.PeresUniversityofMinho,PhysicsDepartment,CFUM,P-4710-057,Braga,PortugalAbstract.UsingaGreen'sfunctionformalismwederiveanalyticalexpressionsfortheelectronictransmittancethroughab

2、enzenering.Tomotivatetheapproachwerstsolvetheresonantlevelsystemandthenextendthemethodtothebenzenecase.Theseresultscanbeusedtovalidatenumericalmethods.PACSnumbers:73.23.Ad,73.63.-b,72.10.Bg,71.20.-barXiv:1408.4706v2[cond-mat.mes-hall]25Feb2015Analyticalsolutionofelectronictransportthr

3、oughabenzenemoleculeusinglatticeGreen'sfunctions21.IntroductionThetransportthroughmoleculesassmallasbenzene[1]oraslongasDNA[2]orcarbonnanotubes[3]fallsintotherealmofmolecularelectronics.Thiseldofresearchhasalonghistory[4],datingbackto1956[5].Asaconsequenceofthislatterpaperandoftheimme

4、diateperceptionofitsimportancetheUSAAirForcedecided,alreadybythattime,tofundthistypeofresearch[6].AccordingtoCuevasandScheer[6]molecularelectronicsistheeldofresearchdevotedtothestudyoftheelectronicandthermaltransportthroughindividualmolecules.Theobjectiveofthistypeofresearchistoproduc

5、eelectronicdeviceswherethebuildingblocksaresinglemolecules,exploringthequantummechanicalpropertiesthatnecessarilyappearatthissmalllengthscales.Thistypeofdevicesinclude:switches,sensors,diodes,transistors,andother[7].Ontheotherhand,anotheradvantageofthisapproachisthatitopensthedoortothe

6、discoveryofnewquantumphenomena.Inthissense,oneshouldrememberthat,historically,technologicalbreakthroughswereoftenanaturalconsequenceoftheexplorationsofnewareas,andnotitsnality.Fromatechnologicalpointofview,thereareseveraladvantagesinpursuingthestudyofmolecularelectronicswhencomparedto

7、thepresentsilicontechnology,namely[6,8]:Size.Moleculeshavetypicalsizesrangingfrom1to100nm,whichallowstheconstructionoffunctionalnano-structureswithsubsequentadvantagesincost,eciencyandpowerdissipation.Speed.Estimationsshowthatagoodmolecularwirecould,forexample,reducethetransittime