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1、RAPIDCOMMUNICATIONSPHYSICALREVIEWB84,081405(R)(2011)QuantumtheoryofthenonlinearFanoeffectinhybridmetal-semiconductornanostructures:ThecaseofstrongnonlinearityWeiZhang1andAlexanderO.Govorov21InstituteofAppliedPhysicsandComputationalMathematics,P.O.Box8009(28),Beijing100088,People’sRepub
2、licofChina2DepartmentofPhysicsandAstronomy,OhioUniversity,Athens,Ohio45701,USA(Received6April2011;published29August2011)Wedevelopaquantumtheoryofthe?eld-tunablenonlinearFanoeffectinthehybridmetal-semiconductornanostructures,inwhichtheplasmon(semicontinuouscollectiveintrabandexcitation)
3、andtheexciton(discretesingle-particleinterbandexcitation)aretreatedonthesamefooting.Ourquantumtheoryshowsthatthequantuminterferenceduetotheplasmon-excitoninteractionleadstothenonlinearFanoeffectdescribedbyageneralizedcomplex?eld-tunableFanofactorforthesystemswithstrongexternal?eldandde
4、phasing.Weestablishtherelationbetweenquantumandsemiclassicaltheoriesandshowthattheresultsofthequantumandsemiclassicaltheoriesdifferbothqualitativelyandquantitativelyinthestronglynonlinearregime—inparticular,thequantumtheorypredictstheabsenceofnonlinearinstabilityinthehybridsystemswithp
5、lasmonrelaxation.DOI:10.1103/PhysRevB.84.081405PACSnumber(s):78.67.?n,71.35.Cc,73.90.+fI.INTRODUCTIONOurpreviousstudiesonthenonlinearFanoeffectinexciton-plasmonsystemswerebasedonthesemiclassicalRecently,therehavebeenmanytheoreticalandexperi-1,2theory,wheretheexcitonwasdescribedinthequa
6、ntummentalstudiesonthehybridnanostructuresbasedonmetaltheoryframework,whilethedescriptionoftheplasmonwasnanoparticles(MNPs)andmoleculesand/orsemiconductor1–8withintheclassicalelectromagneticdynamics.TheFanoquantumdots(SQDs).Buildingblocksofhybridsuper-effectinquantumsystemsisaconsequen
7、ceofquantumnanostructures,metalandsemiconductornanoparticles,haveinterference.Therefore,aquantumtheoryisneededforaverydifferentelectronic,optical,andthermalproperties.ThereliabledescriptionofthenonlinearFanoeffect.Wenotesuperstructurescomposedofnanoparticlestaketheadvantagesthat,prev
