Ultrahigh Frequency Generation in GaAs-type. Two-Valley Semiconductors
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1 Adv. Sudies Theo. Phys. Vol. 3 9 o lhigh Fequecy Geeio i GAs-ype Two-Vlley Seicoducos.. sov. K. Gsiov A. Z. Phov d A.. eiel Bu Se ivesiy 3 Z. Khlilov s. Az 48 Bu ciy- Physicl siue o he Azebij iol Acdey o Scieces 33. Jvid ve. Az 43 Bu ciy Azebij Yüzücü Yil ivesiy Fculy o Scieces d As 658 V-Tuey ideiel@yhoo.co Absc is heoeiclly show h i GAs -ype wo-vlley seicoducos i he cei ievl o eel geic ield usble wve is ppeed. The equecy d icee o his wve e deeied. The pliude d equecy o he oscillios e clculed.. oducio The cue oscillios i eel elecic ield i GAs -ype wo-vlley seicoducos o he is ie e sudied by Gu [6]. O he bsis o his eec he eegy geeos wee cosuced. The eegy diio o supehigh 9 equecy ~ ) occus he cei vlue o he dc elecic ield. The ciicl vlues o elecic ield which he eegy diio begis e oud i y wos icludig []. The Gu eec echis e ivesiged i [ 8]. The uhos o hese wos poi ou h i GAs d P wih icesig o he eel elecic ield he chge cies wih slle eegies e pssed io high lyig eegy bd. Bu he low - equecies ge hese chge cies pss o he ioized ps i he bd gp.
2 94.. sov. K. Gsiov A. Z. Phov d A.. eiel. lhigh Fequecy Geeio i GAs-ype wo-wlley Seicoducos Whe he ube o he chge cies eceeds y cei giude sple coduciviy is decesed d egive dieeil coduciviy es plce: d d ) d is cue desiy d is iesiy o eel ield. A egive vlues o coduciviy d < ) he elecic ield i cysl becoes o-uio shply - epessed es o elecic ield i.e. "dois" e oed. This cicusce es heoeicl cosideio o poble diicul becuse o olie ie depedece o pliude. ll heoeicl wos he Gu eec is ivesiged e heshold i.e. e siio poi o d. Moeove i he pevious wos geic ield iluece o he cue oscillios is o ivesiged boh i lie d olie ppoiios. he give wo he olie heoy o he Gu eec he pesece o eel sog geic ield > whee is he obiliy c is he c ligh velociy d is he eel geic ield iesiy. oe es io ccou h ie o siio o lowe obiliy ses is egligible sll d he cue cie coceio i i vlley deceses ivesely popoiol o y degee o elecic ield he ube o ioized doos does e los o chge d he cue oscillios occu oly becuse o he eleco siio o he uppe eegy ses. A obiliy i he uppe eegeic se i GAs uch less h o i cel vlley 3 s / s ) [ 3 8]. The cie ube i he lowe vlley will be equl o y p o he ull cie ube ). ) hee ) ) whee he ol cie coceio is he obiliy e d >> >> d is elecic ield vlue coespoded o heshold. A pee is ided o epeie [3]. A cue desiy i he GAs ype copouds cosis o wo ps:
3 lhigh equecy geeio 95 3) whee d e he cue desiies i he is d secod vlleys. he bsece o he eel ields he cie coceios i he vlleys e << d <<. The o ol cue we hve [ ] [ ] e e e e 4) Coside he ollowig geoey [ ] [ ] e e e e i h e he ui vecos) oig ) ) o eq. ) we ge o cue desiy o lie equio [ ] h h h d e 5) ee c > oe-diesiol cse we hve 6) Wih ig io ccou 4) o c wie he equio 5) i he o: Φ T << 7) Applyig he Bogolyubov Miopolsy ehod i is esy o id he cue oscillio pliude i he is ppoiio [4 5 7]
4 96.. sov. K. Gsiov A. Z. Phov d A.. eiel β ψ ψ π π si Φ d d d 8) 8 ψ << θ ψ 9) wee θ - phse he we id o 6) e β ) whee is he iiil pliude X β y e he cysl diesios i he d y diecios coespodigly ϕ 3 ) ) 9 ϕ y. is see o 9) h ϕ is icesed wih icese o he eel geic ield d heshold is decesed. Wih begiig o he eegy geeio cysl psses io he usble codiio d o cei giude o he wve is popged i he cysl. The equecies o his wve c be ided o lie ppoiio o equio ) ) ) ) ) y y )
5 lhigh equecy geeio 97 whee. X ollows o he soluios o he equio ) h whe he geic ield vlues chge i he ievl < < whee ; ) ) h wve equecy deceses wih icesig. The e ) wve icee γ is decesed wih icesig. Thus chgig eel geic ield oe c guide wve popgio. Accodig o he epeiel d [6] o he cie coceio 3 s he isbiliy egie whe diio is occued he geic ield is chged i he ievl < <. ) eeeces. B.K. idley. Poc. Phys B.K. idley T.B. Wis. Poc. Phys. Soc B..vidov Joul o Theoeicl d peiel Physics) JTP Gsov.K.Gsiov "Vuey eusoychivos v dvudolii polupovodi" 5. Gsov. Thiov B.A Gsıov.K. Cue Oscillios d Geeio o egy i Coducig Meils Wih Fllig Cue-Volge Chceisic. TP-6 3d. eiol Coeece o Techicl Physicl i Powe gieeig. My A Tuey. p
6 98.. sov. K. Gsiov A. Z. Phov d A.. eiel 6.. B. Gu. o boo Poc.. Co. Phys. Seicoducos Kyoo 966. p Bogolyubov Yu.A.Miopolsy "Asipoichesiye eody v eoii elieyi olebiy" 8..W. gel G.F. Que Ts.. B 4966 eceived: July 8
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