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ECE492FutureElectronicDevicesfromCondensedMatterPhysicsTopics
[email protected] :F9-10AMHPN340
http://labsites.rochester.edu/swulab/teaching/ece-492-course-materials/
Lecture7:Purespincurrents&topologicalspintronics
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SpintronicsTimeline
1990
2000
2010
Present
GiantMR(GMR)
TunnelingMR(TMR)
MagneticTunnelJunctions(MTJ)
SpinTransferTorque(STT)Spininjection&diffusion
STTMagneticSwitching
SpinTorqueNano-oscillators
SpinHallEffect
SpinSeebeckEffectSpinOrbitTorques(SOT)
TopologicalSOT
SpinPumping
STT-MRAM
SOT-MRAM
SpinHallNano-oscillators
Magnonics
Pre-spintronics
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SpintronicsTimeline
1990
2000
2010
Present
GiantMR(GMR)
TunnelingMR(TMR)
MagneticTunnelJunctions(MTJ)
SpinTransferTorque(STT)Spininjection&diffusion
STTMagneticSwitching
SpinTorqueNano-oscillators
SpinHallEffect
SpinSeebeckEffectSpinOrbitTorques(SOT)
TopologicalSOT
SpinPumping
STT-MRAM
SOT-MRAM
SpinHallNano-oscillators
Magnonics
Pre-spintronics
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Spintronicswithoutcharge?
Ininsulatingsystems:
Magnon
Purespincurrent
X
Chargecurrent SpincurrentSpin-polarizedcurrent
Inconductingsystems:
----
Magnon spincurrents
RemoveI2RJouleheatingbyremovingcharge->neardissipationless spintransport
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PurespinbasedelectronicsSpinHalleffect(SHE)
Transversespincurrentgeneratedforlongitudinalchargecurrentinconductors
JC
SpinHalleffect(SHE):Spincurrentgeneration
JS
InversespinHalleffect(ISHE):Spincurrentdetection
JS
JC
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Magnons (Spinwaves)Quasiparticlecollectivemagneticexcitation
Mediatedthroughmagneticexchangeinteraction
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MagnonicsUsingmagnons tocarryspininformation(typicallymagneticinsulators)
ThispictureusesSHEandISHEtogenerateanddetectmagnons butothermethodsexist
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SpinCaloritronicsSpinSeebeckeffect(SSE)
--
-
-++
++
sT
ConventionalSeebeck Effect:ChargecurrentfromsT
sT
SpinSeebeck Effect:SpincurrentfromsT
LongitudinalSSE:K.Uchida,etal.,Appl.Phys.Lett. 97,172505 (2010)
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SpinHallEffect&otherHallEffects
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SpinHallEffectPredictionandDiscoveryPredictedin1971…
Signsofinversespinhalleffectdiscoveredin1986(Sov.Phys.JETPLett.44,59(1986))
Repredicted in1999
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SpinHallEffectPredictionandDiscoveryExperimentalobservationofdirectspinHalleffectinlate2004 Kato(2004)
Wunderlich (2005)
Source:Kato(2004)
OpticallymeasuredspinHalleffectinducedspinaccumulation
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SpinHallEffectExperimentsSoonfollowedall-electricSHEmeasurements
Source:Valenzuela(2006)
Injectspincurrent,detectusingISHE
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MagnitudeofSHE&SpinorbitcouplingPhenomenologicallycharacterizespinHalleffectwithspinHallangle
Largevariationduetodifferentexperimentalmethods
Generallyscaleswithspin-orbitinteraction
LargerZmeanslarger𝐿 " 𝑆
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SpinHallEffectMagneticSwitching
Source:Liu(2012)
WecanswitchmagnetizationinMTJ’susingspinHalleffect
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SpinOrbitronicsMoreefficientgenerationofspincurrentthroughspin-orbittorques(SHE,..etc)
Source:Hoffmann
l/tcanbelargebydesign
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OtherwaystogeneratespincurrentRashba effect Spinbandsplittingduetointerfaceinversionasymmetryand
spin-orbitcoupling
Ag
Bi
Rashba Interface
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Rashba Effect
Source:Rojas-Sanchez(2013)
“InversespinHalllike”voltagefromRashba interface
InverseRashba-EdelsteinEffect
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ControlofRashba effectwithEfield
Source:Lesne (2016)
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TopologicalInsulatorsCanwedoevenbetterwithtopologicalinsulators?
Topologicalmaterialswinnerof2016NobelPrize
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Topologyinbandstructure
“Same”ifcanbedeformedwithoutsingularity(pinch,poke,…)
TopologicalinvariantsSource:D.Vanderbilt
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TopologyinbandstructureTopologicalinvariantsinelectronicbandstructure
ReplacegeometriccurvatureforBerrycurvatureinmaterialsSource:D.Vanderbilt
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Topologyinbandstructure
Topologicalinvariantsexistinelectronicbandstructure
Edgestatesexistattheboundarywheretwotopologicallyinequivalentstatesmeet
Considered“topologicallyprotected”duetosymmetriesofmaterialSource:D.Vanderbilt,J.Moore
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RelationtoQHEMagneticfieldinducedprotectededgestates
Canbeunderstoodasaboundarybetweentwotopologicallynonequivalentmaterials
Topologicalorder:DescribesmuchlargerclassofmaterialsthanjustQHE
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QuantumHallEffectsReplacemagneticfieldwithspin-orbitcoupling:TwocopiesofQHE
QuantumspinHalleffector2Dtopologicalinsulator
Topologicalinvariant:Chern Parity
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QuantumHallEffects
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2DTI:PropertiesandExperiments
Source:PhysicsToday
TrivialInsulator TopologicalInsulatorHgTe QuantumWells
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3DTI:PropertiesandExperiments
3Dsurfacestates
Graphene-likedirac stateswithspinmomentumlocking
Bi2Se3
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TopologicalspincurrentsDirectlygenerateanddetectspincurrentbypassingcurrentthroughTI
Source:Li(2016)
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TopologicalMagnetizationSwitching
Source:Fan(2014)ClaimspinHallangleof140-425
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Purespincurrentsummary
• Newfieldofspin-orbitronics promiseMTJmagnetizationswitchingthatmaybemoreefficientthantraditionalSTT
• Currentlyexploringvariousmechanismstogeneratepurespincurrent&variouswaystocontrol
• Moretopologicalmaterialswithmoreuniquespintexturesarebeingdiscovered
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Nexttime:Functionalcomplexoxides