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Optical Materials and Applications - Volume 1

Novel Optical Materials

Optical Materials and Applications

Print ISSN: 3029-1089

Online ISSN: 3029-1038

Series Editor: Francesco Simoni (Università Politecnica Delle Marche, Italy)

Published:

Vol. 1 Novel Optical Materials edited by Iam Choon Khoo, Francesco Simoni and Cesare Umeton

Optical Materials and Applications - Volume 1

Novel Optical Materials

editors

Iam Choon Khoo

The Pennsylvania State University, USA

Francesco Simoni

Università Politecnica delle Marche, Italy

Cesare Umeton

Università della Calabria, Italy

Published by

World Scientific Publishing Co. Pte. Ltd.

5 Toh Tuck Link, Singapore 596224

USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601

UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE

Library of Congress Cataloging-in-Publication Data

Names: Khoo, Iam-Choon, editor. | Simoni, Francesco, editor. | Umeton, Cesare, editor.

Title: Novel optical materials / editors Iam Choon Khoo, the Pennsylvania State University, USA, Francesco Simoni, Università Politecnica delle Marche, Italy, Cesare Umeton, Università della Calabria, Italy.

Description: New Jersey : World Scientific, [2024] | Series: Optical materials and applications ; volume 1 | Includes bibliographical references and index.

Identifiers: LCCN 2023051524 (print) | LCCN 2023051525 (ebook) | ISBN 9789811280597 (hardcover) | ISBN 9789811280603 (ebook for institutions) | ISBN 9789811280610 (ebook for individuals)

Subjects: LCSH: Optical materials. | Optical materials--Technological innovations. Classification: LCC QC374 .N688 2024 (print) | LCC QC374 (ebook) | DDC 620.1/1295--dc23/eng/20231120

LC record available at https://lccn.loc.gov/2023051524

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Preface

Thisbookisthefirstofanewseriestitled OpticalMaterialsand Applications thataimsatcoveringhottopicsinthewidelandscapeof researchrelatedtothisfield.Inthis series,abroadspectrumofmaterials willbeconsidered:fromsemiconductorstopolymersandliquidcrystals aswellasplasmonicandopticalmetamaterials.Applicationsmayspan frommicro-andnano-opticstoopticalinformationtechnology,optofluidics, biophotonics,imaging,holographictechnologies,andmore.Theaimofeach bookshouldbetopresentinacomprehensivewaythestate-of-the-artof thecoveredtopicinordertobeausefulreadforresearchersinthefield andforstudentsandscientistsapproachingitforthefirsttime.

Theseriesstartswiththiscollectionofchaptersthatisakindof miscellanea,samplesoftopicsthatmightbemoreextensivelypresented anddiscussedinsinglebooksoftheseries.

Thecollectionalsohasanotheraim:todisclosetheinspirationforthe newbookseries,whichcamefromthetopicsdiscussedintheconference “NovelOpticalMaterialsandApplications(NOMA).”Thismeeting,which hasbeenrecurringinItalyeveryalternateyearforoverthreedecades, providesaninternationalforumtodiscussthefundamentalsofthese materialsandtheirrolesinactual opticaldevices.Hence,beforethe chapterswepresentanintroductiondevotedtoabriefdescriptionofthe scientificandnon-scientificcharacteristicsofNOMA.

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Preface v

Introduction:NOMA:ScientificandHumanUniqueness xiii

Chapter1.OpticalPropertiesandEmerging PhenomenaofTwo-DimensionalMaterials1 KunyanZhang,ArpitJain,WenjingWu, JeewanRanasinghe,ZiyangWang,andShengxiHuang

1Introductionto2DMaterials.................1

1.1Characteristicsof2Dmaterials.............2 1.2Examplesof2Dmaterials................3

2Fabricationof2DMaterialsandHeterostructures......4

Chapter2.OptothermalMarangoniEffect: PhenomenaandApplications31

AndrzejMiniewicz,StanislawBartkiewicz,MonikaBelej, KatarzynaGrze´skiewicz,andMichalina ´ Slemp

1Introduction...........................32

2PhysicsofMarangoniEffect..................33

2.1BriefhistoryofMarangonieffectanditsimpact...33

2.2SurfacetensionandMarangonieffects.........34

2.3Navier–Stokesandheattransferequations......37

3NumericalSimulationsandExperimentsonMarangoni Effectin2D...........................39

3.1Simple2DsimulationofthermocapillaryMarangoni effect...........................39

3.22DMarangonieffectsviewedexperimentally.....42

3.3Creationandmanipulationofgasbubbleswith optothermalMarangonieffect..............43

4ExperimentsonMarangoniEffectin3D...........48

4.1Dropletsandcrystalgrowthingasbubbles......48

4.2ManipulationofdropletsviaoptothermalMarangoni effect...........................50

4.3Marangoniswimmers..................52

4.43Dliquid-freesurfaceactuationbylaserbeam....57

4.5Hydrodynamictrap...................59

4.6Two-phaseliquidsystemsincludingliquidcrystals andpolymers.......................60

5ApplicationsofMarangoniEffect...............61

Chapter3.MolecularAlignmentPatterning EnabledbyNovelPhotopolymerizationwith StructuredLightanditsOpticalApplications71

SayuriHashimoto,KyoheiHisano,MihoAizawa, andAtsushiShishido

1Introduction...........................72

2ANovelConceptofPhotoalignmentMethodEnabledby MolecularDiffusion.......................75

3TheDetailedMechanismofMolecularAlignment bySWaP............................78

4VersatilityofPolymerizationSysteminSWaPforUniform MolecularandMesoscopicAlignment.............82 5Two-dimensionalAlignmentPatterninganditsPotential ApplicationstoOptics.....................86 6Conclusion...........................88 References..............................88

Chapter4.NonlinearOpticalPropagationin HeliconicalCholestericLiquidCrystals93 AshotH.GevorgyanandFrancescoSimoni

1Introduction...........................94 2ElectromagneticTreatmentofLightPropagation......97 3OpticalReorientationinChOH................100 4NonlinearLightPropagationatConstantIntensity.....104 5MultilayerApproach......................108 6Conclusions...........................116 References..............................118

Chapter5.LiquidCrystalsforDisplays, SmartWindows,TunableMetamaterials, PlasmonicNanostructures,Micro-ring Resonators,andUltrafastLaserManipulations121 I.C.KhooandT.-H.Lin

1Introduction...........................121

2OpticalPropertiesofLiquidCrystals—General Discussion............................123

2.1Molecularelectronicresponsestoopticalfields....124

2.2Linearopticalresponseandrefractiveindices.....125

2.3Nonlinearopticalresponsesandintensity-dependent refractiveindexchange.................126

2.4Electro-opticalresponsesofliquidcrystals—Abrief introduction.......................129

2.5Opticalpropertiesofchiralnematic[cholesteric] liquidcrystal—A1Dphotoniccrystal........131 3PhotonicsApplications.....................133

3.1Displaysandsmartwindows..............133

x Contents

3.2Tunablenear-zeroandnegativeindexofrefraction; metamaterialsandmetasurfaces............136

3.3Tunableplasmonicnanostructures,micro-ring resonators,enhancednonlinearity,andspontaneous emission..........................139

3.4Cholestericliquidcrystalsforpolarizationrotationof complexlaservectorfieldsandultrafast(ps-fs)laser pulsemodulation.....................141

References..............................146

Chapter6.Plasmonic-basedBiosensorsforthe RapidDetectionofHarmfulPathogens155

FrancescaPetronella,DariaStoia,YasaminZiai, FedericaZaccagnini,VivianaScognamiglio,DanaManiu, ChiaraRinoldi,MonicaFocsan,AminaAntonacci, FilippoPieriniandLucianoDeSio

1Introduction...........................156

2RefractometricBiosensors...................157

3SERS-basedTechniquesforPathogenDetection.......162

3.1SERS-basedplasmonic(nano)sensorsforbacteria detection.........................164

3.2SERS-basedplasmonic(nano)sensorsforvirus detection.........................170

4ElectrochemicalBiosensors..................172 5BiosensorsonFlexibleSubstrates...............176

5.1Electrospunnanofibers.................177

5.2Othersubstrates.....................180

6FuturePerspectives.......................181 Appendix:OpticalPropertiesofPlasmonicNanoparticles....182 Acknowledgments..........................185 References..............................185

Chapter7.ADoublePlasmonic/Photonic ApproachforMultilevelAnticounterfeit andFoodSafetyApplications195

AntonioDeLuca,VincenzoCaligiuri,AniketPatra, MariaP.DeSanto,AgostinoForestiero, GiuseppePapuzzo,DanteM.Aceti, GiuseppeE.Lio,andRiccardoBarberi

1Introduction...........................196

2TheDoublePlasmonic/PhotonicApproach.........200

2.1Thefirstphysicalunclonablefunctionlevel: Thechromaticsignature.................201

2.2Morphologicalandplasmoniccharacterizationof Agnano-islands.....................204

2.3Thesecondphysicalunclonablefunctionlevel: Thespectralsignature..................204

2.4Thethirdphysicalunclonablefunctionlevel: Themorphologicalsignature..............208

2.5Irreversiblethermalswitchinginthefieldof foodsafetyapplications.................212

3ExperimentalMethods.....................215

3.1AgandItosputteringdepositionparameters.....215

3.2Agnano-islandssputteringdeposition.........216

3.3CIE1931andCIELABcolorspaceanalysis......216

3.4EllispometricalandsmartphoneLEDflashlamp characterizationofthespectralresponseofMIN structures.........................216

3.5Temperaturevaryingellipsometry...........217

3.6Imagerecognitionalgorithm..............217

3.7Atomicforcemicroscopymeasurements........218 4Conclusions...........................218 References..............................219

Chapter8.Laser-AssistedMicromachiningand Applications225

L.Criante,R.Ramos-Garc´ıa,andS.Bonfadini

1Introduction...........................225

2FemtosecondLaserIrradiation:OutlineofTheory......228

3GlassMicro-chipFabrication.................232

3.1Selectivechemicaletching................232

3.2Femtosecondmicromachiningsetup..........235

4Needle-freeInjectorsina MicrofluidicPlatform: AChallengingApplicationfortheFLICEFabrication Technique............................237

4.1Thermocavitationbubblegeneration..........240

5Conclusions...........................245 References..............................246

Chapter9.NovelPhoto-sensitiveMaterialsfor MicroengineeringandEnergyHarvesting251 D.Sagnelli,A.Vestri,A.D’Avino,M.Rippa, V.Marchesano,F.Ratto,A.DeGirolamoDelMauro, F.Loffredo,F.Villani,G.Nenna,G.Ardila, P.Meneroud,J.Gauthier,S.Duc,M.Thomachot, F.Claeyssen,andL.Petti

1Introduction...........................252

2Photo-responsivePolymers..................255

2.1Mechanismsofphoto-responsiveness..........256

2.2Azobenzeneinphotomobilepolymers.........260

2.3Dopingofphotomobilepolymers............264

3MicroengineeringApplicationsofPhotomobile Materials............................267

3.1Introductiontomicroengineering............267

3.2Photo-responsivepropertiesinmicroengineering...269

3.3Applicationsofphotomobilematerialsinmicro valves,microswitches,andmicrosteering mirrors..........................273

4TowardPiezoelectricApplicationswithPhotomobile Materials............................283

4.1Introductiontothecombinationofpiezoelectric materialsandphotomobilepolymers..........283

4.2Photo-responsivepossiblearchitectureswith piezoelectrics.......................285

4.3Photomobilematerialsinenergyharvesting applications........................288

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https://doi.org/10.1142/9789811280603 fmatter

Introduction:NOMA:Scientific andHumanUniqueness

IamChoonKhoo∗,§ ,FrancescoSimoni†,¶ ,andCesareUmeton‡ ,

∗ PennsylvaniaStateUniversity,UniversityPark,PA,USA † Universit`aPolitecnicadelleMarche,Ancona,Italy ‡ Universit`adellaCalabria,Rende,Italy § ick1@psu.edu

¶ f.simoni@photomat.it umeton.fis@gmail.com

1.TheBeginning

Theintendedyearofpublicationofthisbook,2023,coincideswiththe 16theditionoftheNovelOpticalMaterialsandApplications(NOMA) conference,whichwillbeheldfromJune4toJune9,2023,inCetraro— asmalltowninsouthernItaly,followingatraditionofmeetingevery alternateyear1 since1995.Actually,NOMAoriginatedfromthe“School onNonlinearOpticsandOpticalPhysics”2 , 3 organizedbytwoofus (I.C.KandF.S.)in1992inCapri(Italy),whichisdesignatedasthefirst edition.Thismeetingwasorganizedwiththefollowingingredients:(a) outstandinginvitedlecturerswithsp ecialtycoveringabroadrangeofnovel opticalmaterialsandtheirapplications;(b)limitedandselectednumberof participantsfromallovertheworld;(c)accommodationofallparticipants inthesamehoteloflimitedsizeinaremotebutidyllicsettingconducive forlocalizedinteraction.

1 Theeditionof2021wasshiftedto2022duetotheCOVID-19pandemic.

2 SeeKhoo,I.C.,Lam,J.F.,andSimoni,F.(Eds.). NonlinearOpticsandOptical Physics.Singapore:WorldScientific(1994).

3 SeealsoKhoo,I.C.,Simoni,F.,andUmeton,C.(Ed.). NovelOpticalMaterialsand Applications. NJ:Wiley(1997).

xiii

Thesefeaturesensurehighlevelofscientificinteractionsandexchanges inasecludedbutverypleasantenvironment,andthelimitednumberof participantsenablesthescientificexchangesanddiscussionstotakeplace duringtheentiredayspenttogetherinafriendlyatmosphere.Another importantingredientofNOMAisaffordability.Thecostofattendancehas beenkeptataminimallevelbyGrandHotelSanMichele,homeofNOMA since1995.Itwilltakeatreatisetoelaborateonthesespecial,arguably unique,featuresofNOMAandallthewonderfulhumanexperiences participantshaveappreciatedinthethreedecadessinceitsformation.We hopethatthefollowingbriefwritingscanconveywhatwehavecalled NOMAflavors—thespecialatmosphere,thesciencesandfriendships fostered,andthefondmemories.

2.TheLocation

GrandHotelSanMicheleislocatedinCetraro,asmalltownonthe TyrrhenianSeapartoftheMediterraneaninthenorthsideofCalabria region,insouthernItaly.Appearingasabighousesurroundedbybeautiful treesandflowers,itisabouttwokilometersoutsidethetownonanice greenhillabout150mabovesealevel.Theborderofthehotelpropertyis arockycliff;anelevatorgoingdownthroughtherocksbringshotelguests toaprivatesecludedbeachandanopen-airrestaurant.

BesidestheMediterraneansecludedbeachforswimmingandoutdoor dining,thehotelfeaturesmanyfacilitiesincludingalarge,fullyfunctional conferencehall,golfcourse,vineyard andcellar,swimmingpool,tennis court,bars,andrestaurants.Itusuallyprovidesfullboardtothehotel guests,startingwithaverypleasantbreakfastontheterraceorveranda. Itoffersmanyseats,sofas,andsmalltablesbothindoorsandoutdoorsfor gueststotalk,work,orhaveadrinktogether.Duringthe conference,lunch isusuallyheldatthebeachterracerestaurant,afamilyplacewithtypical Mediterraneanarchitectureprovidingacongenialatmosphere.Ofcourse, beinginItaly,maximumemphasisisplacedonthequalityand“quantity” ofthefood,withsometypicaldishesoftheCalabriaregion.

Alltheseamazingfeaturesarestrengthenedbythegreathospitality extendedbytheworkingpersonnelandtheowner,keepingthehotel guestscomfortablewiththeirkindandfamilialattitude.Thankstothe prestigeofthesponsoringandcooperatingSocietiesandtotheeffortsand connectionsinvolvingalsotheDepartmentofPhysicsoftheUniversity

ofCalabriaandtheAdministrationoftheGrandHotelSanMichele, thesewonderfulexperiencescomeat verylowcost,andensurethatall meetingparticipantsratherstayonsiteafterthemeetingsessions—the fundamentalrequirementtocreatetherightsocialenvironmentforfruitful scientificexchangesandrelaxations.

Afurtheropportunityforsocializationisrepresentedbythecultural trip.Conferenceattendeesareofferedthepossibilityofspendingonedayof “fullimmersion”intheCalabrianculturaltradition,withvisitstocastles, ancientvillages,archaeologicalexcavationsofMagnaGraecia,museums, andcenturies-oldpineforests,withlunchesinhigh-levelgastronomic restaurantswheretypicaldishesoftheCalabrianculinarytraditionare offeredinalandscapeofenchantingbeauty.

3.ScientificExcellence

ThefocusoftheNOMAmeetingseriesisonnovelopticalmaterialsthat possessuniquecharacteristicsforapplicationinnonlinear-andelectrooptics,communications,sensing,integrated-,nano-,andbio-photonics/ phononics.2,3 Needlesstosay,inthelast3decadessinceitsformation, opticalmaterialsofinteresthaveevolvedfrommanyconventionaltypes tonewemergentones,andparticipants,whilelimitedinnumbers,include manyworld-leadingexpertsinwiderangingandrapidlydevelopingoptical andphotonicsciences.NOMAisintendedtobeinternationalincoverage, andparticipantscomefromallthecountriesofEurope,theAmericas,Asia, andAustralia.

EveryeditionoftheNOMAMeetingshasbenefittedfrommany outstandingspeakersoncurrenthottopicsinthebroadfieldof Optical MaterialsandApplications,includingthelateProf.NicolasBloembergen (NobelPhysicsLaureate,1981)—thePlenaryspeakerinthefirstNOMA heldintheGrandHotelSt.Michele,followedbyA.Yariv,E.Garmire, O.Svelto,C.Flytzanis,H.Eichler,T.Ikeda,E.Hanamura,R.Boyd, C.Tang,andmanyotheroutstandingscientists.Wewouldliketopay specialtributestoseveralcolleagueswhohavepassedawaysince:F.T. Arecchi,V.Degiogio,H.Gibbs,A.Kaplan,G.Stegeman,fortheirfrequent participationandcontributiontothetechnicalexcellenceofNOMA.

Thestronginternationalcharacteristestifiedbytheaverageparticipationof80/100scientists(including60/70speakers)comingfrom20/25 differentcountries.

AnotheringredientthatmakeseachNOMAMeetinguniquefromthe scientificpointofviewisthatwhileitisatopicalmeeting“atlarge,” itactuallydoesfunctionasmorecomprehensive.Usually,apersonparticipatesinatopicalconferencefocusedonaparticulartopicofhis/her ownexpertiseorinahugegeneralconferencecomprisingmanytopical subconferencesamongthousandsofattendees.Theresultisthatinany givencase,rarelyisoneabletohearsomethingnotrelatedtohiswork,and evenwhenthisispossible(e.g.,atsomeplenarysessionofbigconferences) itisdifficulttohaveanymeaningfulscientificexchangewithspeakersina differentfield.ThislimitationisovercomeatNOMAMeetingswhereina smallenvironmentitispossibletofollowspeechesonquitedifferenttopics, andthishastheadvantagesofmakingpossiblethescientificexchanges betweenscientistsworkingindifferentareas,andpossiblyforcreatingnew ideasforeachoftheparticipants’ownresearchinahighlyinternational scientificenvironment.

Inaspanofnearlythreedecades,materialsciencesandopticalphysics haveevolvedasdramaticallyasotheraspectsoflife,withoncehottopics beingreplacedbyemergentoneseverysooften,whilemanyhavewithstood thepassageoftimeandhavebecometextbookmaterials.

ThefollowingisapartiallistoftopicscoveredbyNOMAspeakersin recentyears:

Nanostructures

Metamaterials

Metasurfaces

NonlinearOptics

Nonlineardynamics

Biosensing

Biophotonics

Biomaterials

Liquidcrystals

Nanomaterials

Holographicmaterials

SmartMaterials

Photo-sensitiveMaterials

Light–MatterInteraction

PhotonicCrystals

Semiconductors

OpticalStorage

Nanooptics

OrganicMaterial

Plasmonics

OpticalManipulation

OpticalTweezers

Photo-mobilematerials

Optofluidics

SilkOptics

2-Dmaterials

TopologyPhotonics

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Chapter1

OpticalPropertiesand EmergingPhenomenaof Two-DimensionalMaterials

KunyanZhang∗ ,ArpitJain† ,WenjingWu∗ ,JeewanRanasinghe∗ , ZiyangWang∗ ,andShengxiHuang∗,‡

∗ RiceUniversity,Houston,TX77005,USA † PennsylvaniaStateUniversity,UniversityPark,PA16802,USA ‡ shengxi.huang@rice.edu

Two-dimensional(2D)materialshaveattractedagreatamountofinterest becauseoftheirnovelopticalpropertiesinducedbythereduceddimension. Inthischapter,wediscussdifferenttypesof2Dmaterialsandtherelated fabricationtechniquesforproducing2Dmonolayersandheterostructures.The obtained2Dmaterialshostextremelystronglight–matterinteractionbecause oftheweakdielectricscreening.Inadditiontothefundamentalproperties,they demonstrateintriguingopticalphenomenasuchasmoir´eexciton,singlephoton emission,andhybridpolaritons.Theuniqueopticalpropertiesandtunable surfaceadsorptionof2Dmaterialscontributetoapplicationssuchasoptical modulation,quantumoptics,andbiologicalsensing.Thevastpotentialof2D materialscanbefurtherexploredwiththeaidofadvancedmachine-learning models.

1.Introductionto2DMaterials

Ahalf-centuryago,RichardFeynmanbroughtuptheideaoflayered materialsduringhisfamouslecture.1

There’splentyofroomatthebottom.byasking, Whatcouldwedo withlayeredstructureswithjusttherightlayers ?Withdecadesofefforts, scientistsmaynowbeabletoanswerFeynman’squestion,thankstotwodimensional(2D)materialresearch.

K.Zhangetal.

2DvanderWaalsmaterialreferstoafamilyofmaterialswithstrongly bonded2DlayersattachedbyweakvanderWaalsforces.2 Individual layerscanbeeasilyseparatedbybreakingthevanderWaalsbonds.The firstsuccessfulisolationofsingle-layergraphenebackin20043 hasbrought 2Dmaterialsunderthespotlight.Overthepasttwodecades,tremendous effortshavebeendevotedbythescientificcommunitytoexploringthenovel physicsandapplicationsofsuchmaterials.

1.1. Characteristicsof2Dmaterials

Comparedtotheirparentalbulkcounterparts,2Dmaterialsprocessdistinctivephysicalpropertiesowingtotheiratomicallythinnature.Theelectronic bandstructureof2Dmaterialsstronglydependsonthelayerthickness.For example,monolayerMoS2 becomesadirectbandgapsemiconductor,while thebulkMoS2 hasanindirectbandgap.4 Thisenablesanewwayofbandgap engineeringviathicknesscontrol.

Theelectricalandopticalpropertiesof2Dsemiconductormonolayers arealsodominatedbyexcitoniceffects.5 , 6 Thankstotheweakdielectric screeningandstrongchargeconfinementwithinthereduceddimension, anultra-strongCoulombinteractionemerges,givingrisetointriguing many-bodyphenomenainsuchmaterialsystems.Chargecarriersare tightlyboundedwithinoracrossthelayersaselectron–holepairs,called excitons.Excitonsandtheirhigher-ordercomplexes(trion,biexciton, hexciton,etc.)havebeenobservedinfew-layer2Dsemiconductorsandtheir heterostructures.Thereduceddielectricscreeningofthesub-nanometer layersresultsinthehighsensitivityofthelocalenvironmenttofactors suchasstrain,defects,andtemperaturechanges.7 –10 Electronsandholes canbetrappedinlocalpotentialwells,r esultinginlocalizedexcitons.Those trappedexcitonscaneitherbecomepronouncedquantumemissionsources or,incontrast,quenchtheintrinsicphotoluminescenceemission.

Themeritofan“all-surface”crystalstructuremakes2Dmaterials highlyfavorableforsurface-relatedapplications.Theyhavebeenwidely studiedforelectrocatalysisandsensingpurposes,suchashydrogen/oxygen evolutionreaction(HER/OER)11 anddiseasedetection,12 respectively. Furthermore,theatomicthicknesstogetherwithhighin-planestiffness provides2Dmaterialswithextremelyflexiblemechanicalproperties.

Moreexcitingly,thoselayered2Dsheetshaveconsiderablefreedomin layer-by-layerintegration,creatingadiversityofheterostructureswithout theconstraintsoflatticemismatching.13 Thismeritofferstheopportunity

OpticalPropertiesandEmergingPhenomenaofTwo-DimensionalMaterials 3 todesignandrealizenewmaterialplatformswithdesiredproperties. Theeasy-to-integratenaturealsomakesthempromisingforthefabrication offlexibleandcompactelectronic/optoelectronicdevices.

1.2. Examplesof2Dmaterials

Asoftoday,alargevarietyof2DmaterialshavebeendiscoveredandinvestigatedassummarizedinFig.1.Thislargefamilyofmaterialscanbecategorizedaselementalmaterialslikegraphene,compoundmaterialslikeboron nitride,andstructure-engineeredmaterials,includingheterostructures.

Elemental2Dmaterialshaveattractedconsiderableattention,despite theirchemicalsimplicity.14 Thereexistsomeelemental2Dmaterialsthat

(a)

(b)

(c)

Figure1.Examplesof2Dmaterials.(a)Crystalstructuresofelemental2Dmaterials(topviewandsideview);(b)Twocompound2Dmaterials:TMDandCrX3 (X:I,Br);(c)Structure-engineeredmaterialslikeJanusTMDandartificiallyassembled heterostructures.

havetheirbulkforminnature,suchasgrapheneandphosphorene. Grapheneisasinglelayerexfoliatedfromgraphiteanditiscomposedofa honeycomblatticeof sp2 -hybridizedcarbon.15 Ithasazero-gapelectronic bandstructurewithlineardispersion.Phosphoreneisthemonolayerform ofphosphorus,exhibitinganorthorhombiclayeredstructurewithlayers bucklingoutoftheplane.16 Itshighlyanisotropicphysicalpropertiescome fromthisstructure.Manyothersyntheticelemental2Dmaterialshave beenexperimentallyachieved,17 includingborophene(B),18 silicene(Si),19 germanene(Ge),20 stanine(Sn),21 and2Dtellurium(Te).22

Compound2Dmaterialscanbefurtherclassifiedintomanycategories. Amongthem,transitionmetaldichalcogenides(TMDs)offerawiderangeof electronicproperties,fromsemiconductorstosuperconductors.23 SemiconductingTMDs,includingMoS2 andWSe2 ,havebeenexclusivelystudied formeritslikestronglight–matterinteraction,24 nonlinearpropertiesfrom brokeninversionsymmetry,25 strongspin-orbitcoupling,26 etc.Some metallicTMDshavebeenproventohostintriguingphysicalphenomena likechargedensitywave(CDW)27 andsuperconductivity28 undercertain conditions.Anothergroupofcompound2Dlayeredmaterialshasrecently gainedalotofinterest.Thesemateria lsincludetransitionmetalhalides (CrI3 ,CrBr3 ),Cr2 Ge2 Te6 ,andXPS3 (X:Ni,Mn,Fe).Magnetismispresent inthesematerialsevenatthemonolayerlimit.29

Structureengineeringofcrystalsemergesasanefficientpathwayto modifyandachievedesirednovelproperties.Oneexcitingexampleof structure-engineered2DmaterialsisJanusTMDs,30 whichhavedifferent atomicspeciesontheirupperandlowerfacets.Thissymmetrybreaking inducestheformationofanout-of-planeelectricdipole,whichiscapable oftuningtheinterlayercoupling.30 , 31 BuildingnovelvanderWaalsheterostructuresbyintegrating2Dlayers laterallyorverticallyprovidesaccess toprogrammablepropertiesbeyondtheirbuildingblocks.Whenstacking layerswithafinitetwistangle,amoir´eenergylandscapecanbecreated, resultinginaplethoraofeffectivelow-energyquantumHamiltoniansand furtherleadingtotherealizationofmanycorrelatedphases.32

2.Fabricationof2DMaterialsand Heterostructures

Variousbottom-upandtop-downsynthesismethodshavebeendeveloped for2Dmaterials.Forexample,vapor-basedsynthesismethodshaveenabled thewafer-scalesynthesisof2Dmaterialsforoptoelectronicapplications

5 andelectronicdevices.33 Chemicalvapordeposition(CVD)involvesusing metal-organicprecursorslikeMo(CO)6 ,chalcogenprecursorslikeH2 S,and acarriergaslikeAr/H2 .Thegasesenteratubefurnaceataspecifictemperature(200–1,100◦C)andpressure(1–760Torr),dissociate,andreacton thesubstrateplaceddownstreamtoformmonotoafewlayersofTMDs.34 IncontrasttoCVDsynthesisatrelativelyhightemperatures,substituting thetopsurfaceatomsofTMDmonolayersatroomtemperaturecan produceJanusTMDmonolayerswithbrokenmirrorsymmetry.35 Powder vaporizationisalsoverysimilarbutinvolvesusingpowderprecursorskept insidethetubefurnaceduringgrowth,leadingtoalossofprecisecontrol overtheprecursoramounts.Metaltransformationinvolvesdepositingthin filmsofeithertransitionmetalsorchalcogenprecursorsandsubsequent heattreatmenttoconvertthemto2DTMDs.

Additionalepitaxialgrowthtechniquesincludemolecularbeamepitaxy andatomiclayerdeposition,whichareimportantinspecificapplications andforunderstandingtheprecursor-substratechemistriesnecessaryfor CVDgrowth.GraphenecanbegrownepitaxiallyonSiCsubstratesby sublimingitathightemperatureswithlayercontroldependingonannealing time.36 Hydrogenatingthisstructurecanleadtotheformationofquasifreestandingepitaxialgraphene,whichshows2Delectrongasproperties andisanexcellenttemplateforepitaxialgrowthofhBN,37 GaN,38 and elemental2Dmetals.39 Chemicalvaportransportisanessentialtechnique forbulkcrystalformationforexfoliationpurposesandutilizesahalogen transportagenttogrowcentimeter-scalebulkcrystals.Thesetechniques arehighlightedinFig.2.

Exfoliationisalsoapromisingmethodusedtofabricate2Dmaterials (Fig.3).Asthenameimplies,itinvolvesremovingoneorafewvander Waalsbondedlayersfromabulksinglecrystalemployinganexfoliating medium.3 Inthecaseofmechanicalexfoliation,theexfoliatingmediumis atapethatisrepeatedlypeeledtoreducethethicknessof2Dmaterials. Graphene,oneofthefirst2Dmaterialstobediscovered,wassynthesized usingthetapeexfoliationmethodbyGeimandhiscoworkersin2004.3 Inliquidphaseexfoliation,asolventcanbeusedasanexfoliationmedium thatenterstheinterlayerspacesin2Dmaterialschemically(oxidativeliquid exfoliation)orthroughultrasonication,resultinginlarge-areaexfoliationof 2Dmaterials.40 Inaddition,large-areaexfoliationthatinvolvestheuseof thinmetalfilmsdepositedonbulk2Dcrystalcanalsoexfoliatemillimeterscalemonotoafewlayersof2Dmaterialsandtransferthemtothe substrateofourchoosing.41 2Dmaterialscanalsobepreciselythinned

Figure2.Primarybottom-upsynthesistechniquesfor2Dmaterials.Adaptedwith permissionfromRef.17 c 2020RoyalSocietyofChemistry.

Figure3.Primarytop-downsynthesistechniquesfor2Dmaterials.Adaptedwith permissionfromRef.17 c 2020RoyalSocietyofChemistry.

OpticalPropertiesandEmergingPhenomenaofTwo-DimensionalMaterials 7 downusinglaseretchingtoyieldselectiveanddamage-freelayercontrol.42 Theobtained2Dlayerscanbestackedontopofeachothertocreatevander Waalsheterostructurethroughpolymer-assisteddeterministictransfer.43 ApolymerstamplikePolydimethylsiloxane/Polycarbonate(PDMS/PC) isusedtopickupthedesired2Dmaterialflakefromthesubstrateand thendropitontoanother2Dmaterialflaketocreatetheheterostructure. Thisprocesscanberepeatedtoachievemultiple-layerstacks.Researchers havealsodevelopedautonomousmachineswhichcanexfoliate,identify, andcharacterizethe2Dmaterialsandcorrespondinglycreatetheirvander Waalstacks,allinsideaglovebox.44 , 45

3.OpticalPropertiesof2DMaterials

Two-dimensionalmaterialspossessnovelopticalpropertiesduetotheir reduceddimensionality,uniqueelectronicstructure,anddielectricscreening.Theiruniquepropertiescanbeutilizedinnext-generationflexibleoptoelectronicdevices.Inthissection,wewilldiscusssomeofthefundamental opticalpropertiesof2Dmaterials.

3.1. Lightabsorption

Eventhough2Dmaterialmonolayersarelessthanonenanometerthick, theyareexcellentlightabsorberscomparedtobulkcrystals.46 Absorbance inthesematerialscanbemeasuredusingdifferentialreflectanceortransmittancemeasurementsandcanalsobeinferredfromtheirdielectric constants.12 Forexample,theelectronicstructureofgrapheneisanalogous toalinearDiracconeattheFermienergylevel.Theopticalresponseof grapheneisdefinedbyinterbandtransitionsoccurringbetweenthevalence andconductionbands.Ithasbeenshownthatforpristinemonolayer graphene,itsopticalconductanceisdefinedonlybyuniversalconstantsand isindependentoffrequencygivenby σ (ω )= πe2 /2h. 47 Thecorresponding absorbanceisgivenby A(ω )=(4π/c)σ (ω )= πα,where α isthefine structureconstant.Thisleadstoatheoreticallypredictedabsorption valueof2.29%forgrapheneinthevisiblerange,whichisverysimilar totheexperimentallyobservedvalueof2.3%.47 , 48 However,thereare somedispersionsintheexperimentallyobservedabsorptiondatadueto deviationfromthelinearDiracconeofgraphene.48 Transmittancespectra formultilayergrapheneshowthereductionintransmittancebyafactor of πα foreveryadditionallayerofgrapheneuptofivelayersintotal.48 GraphenecanalsobeelectrostaticallydopedbygatingtoshiftitsFermi

levelandcorrespondinglychangetheinterbandabsorption,therebyleading tothetunabilityofitsopticalresponse.

TMDmonolayersarealsoexcellentabsorbersoflight,achievingabout 5–10%absorptionofincidentlightinthevisiblerange,46 whichisaboutten timeshigherthanthatofGaAs.Theirhighabsorptioncanbeexplained bythedipoletransitionswithalargedensityofstatesandoscillator strengthsbetweenlocalized d stateswithstrongspatialoverlaponthe groupVItransitionmetalatoms.46 ExcitoniceffectsinTMDsleadtoa highlyconstructivesuperpositionoftheoscillatorstrengthsneartheonset oftheabsorptionedge,49 whichhasbeenutilizedtocreatephotovoltaic devicesusingthesematerials.

3.2. Excitons

MonolayerMoS2 isadirectgapsemiconductorwithabandgapofabout 1.8eV,50 makingitidealforoptoelectronicapplications.WhenMoS2 absorbsaphoton,anelectronleavesthevalencebandfortheconduction band,leavingbehindapositivelychargedholeinthevalenceband.This holeisstronglybondedtotheelectronbyCoulombicforcesandiscalled anexciton,aneutralquasiparticle.Iftheexcitonalsohasanassociated charge,itiscalledatrion.2DTMDsareuniquebecauseofhighlystable excitonswithsizeablebindingenergy,whichexistevenatroomtemperature duetotheirreduceddimensionalityandlowdielectricscreening.These excitonscanalsobeconvertedtophotonsandcanbeeasilymeasuredusing temperature-dependentphotoluminescencespectroscopy.51

Figure4(a)describesthevarioustypesofexcitonswhichcanexistin a2DTMDmaterial.52 Brightexcitons consistofbondedelectronsand holeswiththesamespinandpositioninmomentumspace.Momentumforbiddendarkexcitonsconsistofbondedelectronsandholeswiththe samespinbutdifferentmomentumspacepositions.Spin-forbiddendark excitonsconsistofbondedelectronsandholeswiththeoppositespinbutthe samemomentumspace.Localizedexcitonsoccurdue toelectron–holepairs trappedinadefect-inducedpotential. Therefore,defectengineeringcanbe usedtomanipulatetheexcitondynamicin2Dmonolayers.53 Figure4(b) describesinterlayerexcitonsinheterolayersinwhichtheelectronsare presentintheconductionbandofonematerialandholesinthevalence bandofanother.

Excitonicbindingenergyisdefinedasthedifferencebetweenthe bandgapenergy(E0 )andtheenergyoftheobservedexcitonictransition (Ex ).52 ForMoSe2 , E0 and Ex wereexperimentallymeasuredtogetan

Figure4.Excitonsin2Dmaterials.(a)Illustrationofdifferenttypesofexcitons.The arrowsrepresentthespin.AdaptedwithpermissionfromRef.52 c 2018Springer Nature.(b)Illustrationofinterlayerexcitonsinheterostructureof2Dmaterials.Adapted withpermissionfromRef.52 c 2018SpringerNature.(c)Theopticalabsorptionspectra ofMoS2 .AdaptedwithpermissionfromRef.55 c 2015AmericanChemicalSociety. (d)TheintensityofintralayerexcitonofMoS2 ismodulatedbytheintrinsicelectric fieldofMoSSeattheheterostructureinterface.AdaptedwithpermissionfromRef.31 c 2021AmericanChemicalSociety.

excitonbindingenergyof0.55eV,whichissignificantlyhigherthanother bulksemiconductors.54 TheabsorptionspectraofMoS2 inFig.4(c)show thetwoprominentbrightexcitons,55 AandBexcitons.Thesetwopeaks ariseduetoaverticaltransitionfromthespin-splitvalencebandtothe conductionband,asseenintheinset.Boththepeaksalsohaveasatellite peakcomingfromtheassociateddarkexcitontransition.AandBexcitons resemblethe1s stateinthe2Dhydrogenmodel56 andtheirhigherexcited excitonicstateswithdecreasingoscillatorstrengthareobservedinthe opticalspectrasimilartothehydrogenRydbergseries.57 However,thereis adeviationintheenergyspacingbetweenthetransitionsduetonon-local dielectricscreeninginTMDs.AnabsorptionpeakcalledCpeakappears around2.7eV,markingtheonsetofthecontinuumregimewithexcitonsof

(a)
(b)
(c)
(d)

lowbindingenergies.TheintensityoftheintralayerAexcitonofMoS2 can beeffectivelymodulatedbytheintrinsicdipoleofJanusTMDmaterialsas showninFig.4(d).52 TheintrinsicdipoleinJanusMoSSeaffectsthecharge transferbetweenMoSSeandMoS2 andthereforethePLintensityofthe intralayerexcitonofMoS2 .Trions(chargedexcitons)areobservedatlow temperaturesinmonolayerTMDswithsignificantbindingenergies.58

3.3. Opticalphonons

Phononisthequantumofthevibrationsinacrystallattice.Thesevibrationsareuniquetothechemistryandthestructureofthematerial.Phonons andphonondispersionshavebeenwidelystudiedfor2Dmaterialswithfirstprinciplestheoreticalprediction59 andexperimentalobservations.60 Raman spectroscopyisapowerfulexperimentaltooltomeasureandprobethese phononsandcharacterizethese2Dmaterials.Inthissection,wewillfocus onphononsinamodelTMDwithfewlayers.

TMDscanberepresentedbyanX–M–Xstructure,withMbeinga transitionmetalsandwichedbetweentwoXchalcogenatomsarrangedin ahexagonallatticetermed2H.Theprimitiveunitcellforthisstructure hassixdifferentatomicpositions;hence,thereare18differentphonons (15opticaland3acoustic)attheΓpointintheBrillouinzone.61 Thesemodeshavebeenhighlightedforamonolayer2H-MoS2 filmin Fig.5(a).ThephonondispersionformonolayerMoS2 isshowninFig.5(b). Experimentally,E2g andA1g modesforMoS2 areobservedusing532nm laserexcitationandcanbeusedtodeterminethenumberoflayersinthe 2Dmaterialsbyprobingthedifferenceinthepeakpositionsofthesetwo peaks.62 Thelayer-dependentshiftoccursduetotheblueshiftingofthe A1g modeandredshiftingoftheE2g modeonincreasingthickness.Similar phonondispersioncalculationsandlayer-dependentRamanspectrahave alsobeenevaluatedforotherTMDs.61

Thephononsdiscussedabovecorrespondtovibrationsoccurringwithin asinglelayerof2Dmaterial.However,iftherearetwoormorelayersof 2Dmaterials,coupledvibrationsbetweenthoselayerscanoccur,leading tointerlayerphonons(Fig.5(c)).63 Theseinterlayerphononstypicallyhave verylowenergyasinterlayerbondingin2Dmaterialsisinherentlyweak andisobservedatlowwavenumbersinRamanspectra,asseeninFig.5(d). E2 2g istheinterlayershearmodewhoseenergyincreaseswithanincrease inlayernumber.ThedottedlineinFig.5(d)representslayerbreathing mode,whichcorrespondstothesimultaneousupanddownmovement

Figure5.OpticalphononmodesofMoS2 .(a)Thevibrationalmodesformonolayer MoS2 .AdaptedwithpermissionfromRef.60 c 2013AmericanChemicalSociety. (b)CalculatedphonondispersionformonolayerMoS2 .Adaptedwithpermissionfrom Ref.59 c 2011AmericanPhysicalSociety.(c)Interlayerphononmodesforbilayer MoS2 .AdaptedwithpermissionfromRef.60 c 2013AmericanChemicalSociety. (d)Layer-dependentlow-frequencyRamanspectraofMoS2 showingshearandlayer breathingmodes.AdaptedwithpermissionfromRef.63 c 2012AmericanPhysical Society.

oftheentirelayer.Itsenergydecreaseswithanincreaseinthelayer number.Hence,theselow-frequencymodesalsobecomeanessentialtool forcharacterizinglayernumbers.2Dmaterialheterostructuresalsoexhibit theseinterlayerphonons,includingboththeshearandlayerbreathing modeswhosepeakpositiondependsonthetypeof2Dmaterialandthe couplingstrengthbetweenthem.30 Thepositionsofinterlayerphononsare alsodependentontherelativeorientationofthestackedheterolayers.31

4.EmergingOpticalPhenomena

Theuniqueopticalcharacteristicsof2Dmonolayersandfewlayers distinguishthemfromtheirbulkcounterparts.Inadditiontothestrong opticalabsorption,excitoniceffect,andphononbehaviors,2Dmaterials possessunconventionalopticalphenomenainducedbymoir´estacking.The excitonandphononpropertiescanbemodulatedbytheperiodicmoir´ e potential.Inadditiontothenarrowemissionlinesgeneratedbymoir´ e lattice,defectengineeringcanalsobeusedtogeneratesinglephotonsfrom thedefectstatesin2Dmaterials.Thestronglight–matterinteractionof

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