Low-Dimensional Functional Materials PDF
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NATO Science for Peace and Security Series - B: Physics and Biophysics Low-Dimensional Functional Materials Edited by Reinhold Egger Davron Matrasulov Khamdam Rakhimov AB 3 Low-Dimensional Functional Materials NATO Science for Peace and Security Series This Series presents the results of scientific meetings supported under the NATO Programme:ScienceforPeaceandSecurity(SPS). The NATO SPS Programme supports meetings in the following Key Priority areas: (1) Defence Against Terrorism; (2) Countering other Threats to Security and (3) NATO, PartnerandMediterraneanDialogueCountryPriorities.Thetypesofmeetingsupported are generally “Advanced Study Institutes” and “Advanced Research Workshops”. The NATO SPS Series collects together the results of these meetings. The meetings are co-organized byscientistsfromNATOcountriesandscientistsfromNATO’s“Partner” or “MediterraneanDialogue”countries.Theobservationsandrecommendationsmadeatthe meetings,aswellasthecontentsofthevolumesintheSeries,reflectthoseofparticipants andcontributorsonly;theyshouldnotnecessarilyberegardedasreflectingNATOviews orpolicy. Advanced Study Institutes (ASI) are high-level tutorial courses to convey the latest developmentsinasubjecttoanadvanced-levelaudience Advanced Research Workshops (ARW) are expert meetings where an intense but informalexchange ofviewsatthefrontiersofasubjectaimsatidentifyingdirectionsfor futureaction Followingatransformationoftheprogrammein2006theSerieshasbeenre-namedand re-organised.Recentvolumesontopicsnotrelatedtosecurity,whichresultfrommeetings supportedundertheprogrammeearlier,maybefoundintheNATOScienceSeries. TheSeriesispublishedbyIOSPress,Amsterdam,andSpringer,Dordrecht,inconjunction withtheNATOEmergingSecurityChallengesDivision. Sub-Series A. ChemistryandBiology Springer B. PhysicsandBiophysics Springer C. EnvironmentalSecurity Springer D. InformationandCommunicationSecurity IOSPress E. HumanandSocietalDynamics IOSPress http://www.nato.int/science http://www.springer.com http://www.iospress.nl SeriesB:PhysicsandBiophysics Low-Dimensional Functional Materials editedby Reinhold Egger Institutfu¨rTheoretischePhysik Heinrich-Heine-Universita¨t,Du¨sseldorf,Germany Davron Matrasulov DepartmentofEnergy,LaboratoryforAdvancedStudies TurinPolytechnicUniversityinTashkent,Tashkent,Uzbekistan and Khamdam Rakhimov DepartmentofPhysics NationalUniversityofUzbekistan,Tashkent,Uzbekistan 123 PublishedinCooperationwithNATOEmergingSecurityChallengesDivision ProceedingsoftheNATOAdvancedResearchWorkshopon RecentTrendsinEnergySecurity(withSpecialEmphasisonLow-Dimensional FunctionalMaterials) Tashkent,Uzbekistan 15–19October2012 LibraryofCongressControlNumber:2013940537 ISBN978-94-007-6666-2(PB) ISBN978-94-007-6617-4(HB) ISBN978-94-007-6618-1(e-book) DOI10.1007/978-94-007-6618-1 PublishedbySpringer, P.O.Box17,3300AADordrecht,TheNetherlands. www.springer.com Printedonacid-freepaper AllRightsReserved (cid:2)c SpringerScience+BusinessMediaDordrecht2013 This work is subject to copyright. All rightsare reserved by the Publisher,whether thewholeor partof the materialisconcerned,specificallythe rightsof translation, reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilms or inanyotherphysicalway,andtransmissionor informationstorageandretrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed.Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, forexclusiveusebythepurchaserofthework.Duplicationofthispublicationorparts thereofispermittedonlyundertheprovisionsoftheCopyrightLawofthePublisher’s location,initscurrentversion,andpermissionforusemustalwaysbeobtainedfrom Springer.PermissionsforusemaybeobtainedthroughRightsLinkattheCopyright ClearanceCenter.ViolationsareliabletoprosecutionundertherespectiveCopyright Law. 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Preface ThisbookpresentsproceedingsoftheNATOAdvancedResearchWokshop“Recent TrendsinEnergySecurity:WithSpecialEmphasisonLow-DimensionalFunctional Materials”heldinTashkent,October15–19,2012.Theobjectiveoftheconference was to discuss recent advances, problems and prospects in the physics of low- dimensional nanoscale materials from the viewpoint of their practical application in energy and resource saving. Currently such materials are being considered to playkeyrolein thedevelopmentofcontemporarynanotechnology.Theworkshop broughttogetherexpertsworkingon differentissues of nanoscalephysicssuch as quantumtransport,organicphotovoltaics,hydrogenstorage,carbonnanostructures, superconductivityandothers.Talkspresentedbythespeakerswereconcentratedon photovoltaic elements on the basis of low-dimensionalmaterials, graphene, CNT, fullerene, particle and heat transport in low-dimensional nanoscale systems, ther- moelectriceffectonlow-dimensionalmaterials,quantumnetworksandhydrogenin low-dimensionalmaterials. Special focus was broughtto practical applications of low-dimensionalfunctional materials in renewable energy, energyconversion and storage. Total 55 talks were presented by senior and young speakers as 35- and 15-minlongandshorttalks,respectively. Broad audience of experimental and theoretical physicists was attracted by extensive panel discussions which were very helpful for deeper understanding of differentissuesofthephysicsoflow-dimensionalfunctionalmaterials.Concluding remarkshavebeenpresentedtosomeofthespeakersattheendofWorkshop. The Workshop has been efficiently and successfully organizeddue to the local organizing committee with members T. Muminov, A.A. Saidov, K. Sharipov, K. Nakamura, B. Eshchanov, J. Yusupov, D. Otajanov, B. Umrzakov and B.Oksengendler.AgroupofyoungresearchersandstudentsfromTurinPolytechnic University in Tashkent and National University of Uzbekistan assisted for several importantorganizationalmatters. In addition, we would like to thank Jambul Yusupov, Doniyor Babajanov and DavranOtajanovfortheir valuableassistance in preparingthis proceedings.Also, ourspecialthanksgotoOlgaKarpovaforhergreathelpwiththesecretarialduties, before,duringandaftertheconference. v vi Preface Finally, we wish to thank NATO Science for Peace and Security Program for thefinancialsupport,AppliedPhysicsInstitute,PhysicalSocietyofUzbekistanand TurinPolytechnicUniversityinTashkentforadditionalfundingandorganizational support. Du¨sseldorf,Germany ReinholdEgger Tashkent,Uzbekistan DavronMatrasulov January,2013 KhamdamRakhimov Contents 1 OntheFinite-SizeExcitonicInstabilityinInteracting GrapheneQuantumDots.................................................. 1 TomiPaananenandReinholdEgger 2 Two-DimensionalLatticeFermionswithRandomGap................ 15 AntonioHillandKlausZiegler 3 DielectricConstantandScreenedInteractionsinAA StackedBilayerGraphene................................................. 27 LuisBrey 4 GrapheneBlochEquations................................................ 35 TorbenWinzer,ErminMalic´,andAndreasKnorr 5 TransportThroughaCoulombBlockadedMajoranaNanowire ..... 63 AlexZazunov,ReinholdEgger,AlfredoLevyYeyati, RolandHu¨tzen,andBerndBraunecker 6 OntheElectron-PhononInteractionsinGraphene..................... 77 BekirKandemir 7 TunnelingConductanceinCorrelatedGraphenes...................... 89 JongbaeHong 8 LandauLevelsandEdgeStatesinGraphenewithStrong Spin-OrbitCoupling ....................................................... 97 AlessandroDeMartino,ArturHu¨tten,andReinholdEgger 9 WavePacketPropagationThroughRandomlyDistributed ScatteringCentersinGraphene .......................................... 119 KhamdamYu.Rakhimov,AndreyChaves, andGildeAquinoFarias vii viii Contents 10 Are Scattering Properties of Networks Uniquely ConnectedtoTheirShapes?............................................... 127 OlehHul,MichałŁawniczak,SzymonBauch,AdamSawicki, MarekKus´,andLeszekSirko 11 ParticleDynamicsinKickedQuantumNetworks...................... 139 ValijonEshniyozov,JambulYusupov,DavronMatrasulov, andInomjonIbragimov 12 BreathingStarGraph...................................................... 147 DavronMatrasulov,JambulYusupov,KarimjonSabirov, andZarifSabirov 13 Time-Independent Nonlinear Schro¨dinger Equation onSimplestNetworks...................................................... 155 Karimjon Sabirov, Zarif Sabirov, Donyor Babajanov, andDavronMatrasulov 14 1/(N−1)ExpansionforanSU(N)ImpurityAnderson Model:ANewLarge-NSchemeBasedonaPerturbation TheoryinU.................................................................. 165 AkiraOguri,RuiSakano,andTatsuyaFujii 15 OPVTandemswithCNTS:WhyAreParallelConnections BetterThanSeriesConnections........................................... 179 KamilMielczarek,AlexanderCook,AlexanderKuznetsov, andAnvarZakhidov 16 OptimizationofCarrierHarvestinMEGBasedHybrid SolarCells................................................................... 205 NigoraTuraeva,BorisOksengendler,MuradMarasulov, andSardorNuraliev 17 ThermoelectricNanowireArraysResponsetoIllumination .......... 217 TitoHuber,ReumScott,ScottJohnson,TinaBrower, AlbinaNikolaeva,andLeonidKonopko 18 Special Features of Thermoelectric Phenomena inGranulatedSemiconductors............................................ 225 KhatamAshurov,BorisAbdurakhmanov,FlyraDjurabekova, SherzodKuchkanov,SergeyMaksimov, andBorisOksengendler 19 ThermoelectricityinTernaryRare-EarthSystems..................... 235 VladimirNikiforov,ValentinIrkhin,andAlexanderMorozkin Contents ix 20 SimulationofRandomTelegraphNoiseinNanometer nMOSFETInducedbyInterfaceandOxideTrappedCharge........ 243 AtabekE.Atamuratov,RalfGranzner,MarioKittler, ZuhraAtamuratova,MahkamHalillaev,andFrankSchwierz 21 AnyonBosonized2DFermionsoraSingleBosonPhysics ofCuprates:ExperimentalEvidences.................................... 251 BakhodirAbdullaev Index............................................................................... 269
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