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Manipulating Eletrons in Nanostrutured Semiondutors

Jorg P. Kotthaus

Center forNanoSiene(CeNS) andSektionPhysik

LMU,Geshwister Sholl-Platz1,80539 M unhen,Germany

Reeivedon22April,2001

A brief overviewof eletronmanipulations innanostruturedsemiondutors is given. Suh

ma-nipulations go down to average transfer of less than a single eletron per ontrolled step. The

appliationstonanodeviesbeyondthesaleddownsilionmiroeletronisisalsodisussed.

I Introdution

Fabriationtehnologieswithnanometerresolution

en-able us now to realize nanostrutured semiondutor

devies in whih the artiial geometri onnement

dominates the laws of transport and storage of

ele-trons. Thisgivesrisetonoveleletronibehaviorquite

inontrasttothediusiveeletronmotionthatgoverns

eletrontransport evenin todayssmall semiondutor

devies. Three distint examplesof eletron

manipu-lation in suh nanostruturesare disussed in the

fol-lowingand serveto explorethe possibilities forfuture

storageandsensingdevies.

II Eletroni Shell Strutureand

Exitations in Self-Assembled

Quantum Dots

Severalnanofabriationtehniqueshavemadeit

possi-ble to reate semiondutor quantum dots with

age-like potentials in whih the number of onned

ele-trons an bevoltage-tuned. Oneroute usesmoleular

beamepitaxyofstrainedlayerstoreatequantumdots

viaself-organizedStranskyKrastanovgrowth.

Embed-ding suhself-assembledInAsquantum dotsinto

suit-able eld-eet devies allows to injet few eletrons

intothesedotsonebyone[1℄. Thefew-eletronground

statesin their dependene oneletronoupationand

magnetieldsanbestudiedwithhighresolution

a-paitanespetrosopywhih allowsusto samplealso

smallensemblesofquantumdots[2,3℄. Theevolutionof

theeletronigroundstateenergieswitheletron

num-berand magnetield revealssingleeletronharging

viaCoulombblokadeas wellasalearshellstruture

ausedbyspatialquantizationoftheeletronimotion.

Theeletronistrutureanbewelldesribedbya

sim-ple parabolimodel[3℄. Capaitanespetrosopyan

also beemployedto study self-assemblednanoringsin

observable hanges in the eletroni ground state [4℄.

Onlargerensemblesofabout10 8

quantumdotsthe

in-trabandeletroniabsorptionin thefar-infrared[1,4,5℄

aswellastheexitoniabsorptioninthenear infrared

[6℄anbeinvestigated withtransmissionexperiments.

In partiular we observe qualitative hanges in these

spetrathatreetthellingoftheatom-likeshellsby

singleeletronsandagainanbewelldesribedby

the-ory. Reentlumineseneexperimentson single

quan-tum rings reveal the detailed dependene of the

exi-toniexitationsonhargeandspinstatesofthestored

arriers[7℄.

III Eletromehanial

Nanode-vies

Nanofabriation employing high resolution eletron

beam lithography ombined with seletive ething of

sariiallayersmakesitpossibletomanufature

nano-beams and {leversout of Si or GaAs rystalline lms

grownonasariiallayer[8℄. Usingtheexitationvia

theLorentzfore thatisexperienedbyaurrent

ar-ryingwirein the preseneof amagneti eld one an

study the resonant mehanial and eletromehanial

behavior of onduting nano-beams. Beause of their

small size typial mehanial resonanefrequenies of

suh wires lie in theregime of radio frequeniesup to

several100MHz. Thesuessfulexitationof

mehani-almotionanthenbedetetedeitherbymeasuringthe

rfpowerabsorbedbythedevieorbyapaitively

de-tetingthemotionofthewirewithrespettoaloseby

eletrode. AtlowpowertypialSi-beamsexhibita

sim-pleharmonimotionandthemehanialqualityfator

aneasilybededuedfrom thewidthofthefrequeny

spetrum to be typially several thousand. At higher

exitation power the nano-beams behave inreasingly

non-linear until oneeventually anobserve hysteresis

and bistability at the highest power level /9/. This

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suhresonantlyvibratingnano-beamsanbedeteted.

Using alosebyeletrodewehavedemonstrated that

suhvibratingbeamsane. g. atassensitiveharge

sensors that are able to detet hanges of frations of

eletronsifinuenedonaneighboringeletrode[10℄.

Nanomehanial devies fabriated on silion an

alsobeemployedasfasteletrialswithesoras

shut-tlesforsmallamountofharges. InRef.11asuspended

silionlapperatsasamehanialswithbetweentwo

eletrodes,soureanddrain. Theswithanbedriven

bytheeletriforeexertedviavoltagesappliedaross

twoadditionalgateeletrodes,whih ausea

mehan-ial motion of the lapper. Beause of its very small

mass the resonanefrequeny of the lapper is in the

regime of 10 th

of MHz. If the tip of the lapper is

fabriated as a small metalli island deposited on an

isolatinglapperthedevieanalsobeusedasa

shut-tleforsmall parelsof harges. Presentlywethus an

thustransferonaveragelessthanasingleeletronwith

eah motion of the lapper. We study suh a

"quan-tum bell" as a possible devie to transfer and ount

eletronsinquantized unitsbyoperatingthemetal

is-land onhe lapperas amehanially ontrolled single

eletrontransistor/8,9/.

IV Tunable Potential Landsape

as Photoni Conveyor Belts

and Memories

Another novel mode of ombing mehanial motion

with eletron manipulation allows to proess optial

signals in quantum wells. Usually photoluminesene

inquantumwellsisaveryeÆientproessbywhih

in-ominglightwithenergyabovetheeetivebandgapof

aquantumwellisabsorbedandgenerateseletron-hole

pairs, whih reombine within nanoseonds to reemit

photons at the band gap energy. We use the

piezo-eletri potential of suÆiently strong surfae

aous-tiwaves(SAW) propagatingon GaAsquantum wells

to spatiallyseparateeletronandholesandtrapthem

in adjaent extrema of the potential superlattie

re-atedbytheSAW. Withseparationsinthemirometer

regime this easily extendsthe reombination lifetimes

by orders of magnitude. Furthermore the separation

an be reversed and thus an be employed for

inter-mediate storage of optialsignals. The dramati

sup-pressionofreombinationallowsthetrapped

eletron-holepairstosurfarossthedevies. Loallyattening

the potential wavein whih the eletron and holeare

trapped,e. g.,byasreeningmetaleletrodeorbyan

arrayof quantum dotsagainindues eÆient

reombi-nationandemissionofmonohromatilight. Insuha

dynami optial memory devie photonisignals have

onlylimitedbythetimeittakesfortheSAWtotravel

arossthehip. Inarelatedquasi-statiphotoni

mem-orywehavereentlyahievedstoragetimesforphotoni

signalsuptoseonds.

Saws propagating aross piezoeletri

heterostru-turesanalsobeusedto transformatwo-dimensional

eletronsystemintoagridof eletronwires

propagat-ing with sound veloity /15/ or assensors for optial

signalsandeletrialhargesasthesemodifythephase

andamplitudeofthepropagatingSAW.Basedonsuh

onepts we have reently realized a very simple and

fastpositiondetetorforphotonisignals/16/.

Simi-lardevieanbeemployedasafastandheapamera.

V Conlusion

The above examples should have demonstrated that

eletronsinnanostruturesanbemanipulatedinways

quitedierentfromthoseusedinlassialharge

trans-port. Thenewformsofeletrontransportandstorage

anontributeto ndingsemiondutordeviesfor

in-formation proessing and sensing beyond the area of

saleddownsilionmiroeletronis.Iwantto

aknowl-edge the essential ontributions from many

ollabora-torsasidentiedinthereferenesandontinuous

sup-portfromtheGermanSieneFoundation(DFG).The

Germanministryofeduation(BMBF), andthe

Volk-wagenFoundation.

Referenes

[1℄ H.Drexleretal.,Phys.Rev.Lett.73,2252(1994).

[2℄ B.T.Milleretal.,Phys.Rev.B56, 6764(1997).

[3℄ R.J.Warburtonetal.,Phys.Rev.B58,16221 (1999).

[4℄ A.Lorkeetal.,Phys.Rev.Lett.84,2223(2000).

[5℄ M.Frikeetal.,Europhys.Lett.36,197(1996).

[6℄ R.J.Warburtonetal.,Phys.Rev.Lett.79,5282(1997).

[7℄ R.J.Warburtonetal.,Nature405,926(2000).

[8℄ Forreentreviews,seee.g.M.L.Roukes,PhysisWorld,

February2001,andR.H.Blik,PhysikaE6,821(2000).

[9℄ A.Erbeetal.,Appl.Phys.Lett.77,3102(2000).

[10℄ H.Krommeretal.,Europhys.Lett.50,101(2000).

[11℄ A.Erbeet al.,Appl. Phys.Lett. 73,3751 (1998)and

tobepublished.

[12℄ C.WeissandW.Zwerger,Europhys.Lett.4,97(1999).

[13℄ C.Rokeetal.,Phys.Rev.Lett.78,4099(1997).

[14℄ S.Zimmermannetal.,Siene283,1292 (1999).

[15℄ M.Rotteretal.,Phys.Rev.Lett.82,2171(1999).

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