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1、SCIENCEADVANCES
2、RESEARCHARTICLECONDENSEDMATTERPHYSICSCopyright©2018TheAuthors,someAnomalousHalleffectderivedfrommultipleWeylrightsreserved;exclusivelicenseenodesinhigh-mobilityEuTiOfilmsAmericanAssociation3fortheAdvancement1,2†3†31‡1,3ofScience.NoclaimtoKeiS.Takahashi*,HiroakiIshizuk
3、a,TomokiMurata,QingY.Wang,YoshinoriTokura,originalU.S.Government1,31,3NaotoNagaosa,MasashiKawasakiWorks.DistributedunderaCreativeEuTiO3,amagneticsemiconductorwithasimplebandstructure,isoneoftheidealsystemstocontroltheCommonsAttributionanomalousHalleffect(AHE)bytuningtheFermilevel.The
4、electronsintheconductionbandsofLa-dopedEuTiO3NonCommercialaresubjecttothespin-orbitinteractionandZeemanfieldfromthespontaneousmagnetization,whichgeneratesrichLicense4.0(CCBY-NC).structuresintheelectronbandsuchasWeylnodes.ThisuniquepropertymakesEuTiO3arelativelysimplemul-tibandsystemw
5、ithitsBerrycurvaturebeingcontrolledbyelectrondopingandmagneticfield.Wereportanon-monotonicmagneticfielddependenceoftheanomalousHallresistivity,whichisascribedtothechangeofelectronicbandsinducedbytheZeemansplittingduringthemagnetizationprocess.TheanomalousHallresistivitymeasurementinh
6、igh-mobilityfilmsgrownbygassourcemolecularbeamepitaxyshowsadditionaltermsintheAHEduringthemagnetizationprocess,whichisnotproportionaltothemagnetization.OurtheoreticalcalculationDownloadedfromindicatesthatthechangeofZeemanfieldintheprocessofcantingthemagneticmomentscausesthetypeIIWeyl
7、nodesintheconductionbandtomove,resultinginapeculiarmagneticfielddependenceoftheAHE;thisisrevealedbythehigh-qualityfilmswithalongscatteringlifetimeofconductionelectrons.INTRODUCTIONalmostconstant,whereastheFermilevelofSrRuO3ishardlycontrolledbyTransportpropertiesofspin-polarizedelectr
8、onsreceiveconsiderablecarrierdopingbecauseofthelargeamountofcarriers.Hence,ETOwashttp://advances.sciencemag.org/interestfortheirimportanceinbasicscienceandfortheirpotentialconsideredasanidealmaterialtostudythecontrolofBerryphaseandtheintechnologicalapplications(1).Oneofthepeculiarphe
9、nomenaofAHEb