ELECTRON HEATING IN THE CONDUCTION BAND OF INSULATORS UNDER FEMTOSECOND LASER PULSE IRRADIATION
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1 LCTRON HATING IN TH CONDUCTION BAND OF INSULATORS UNDR FMTOSCOND LASR PULS IRRADIATION Ilya Bogatyrev H. Bacau A.N. Belsy I.B. Bogatyrev J. Gaud G. Geoffroy S. Guzard P. Mart Yu.V. Popov A.N. Vasl ev B.N. Yatseo
2 Relevace Wde practcal applcatos of sulators: fluorescet lamps laser actve meda sctllators optcal systems lectro eatg te coducto bad defe may practcal propertes of sulators Femtosecod laser pulse rradato allows promtly excte sulator tat provdes ew opportutes for vestgato
3 Problem story Potoelectro expermetal setup CLIA Laser CLIA: 8m 8mJ 3fs KHz Ar mbar Mrror emspercal e - aalyzer beam gratg slt sample beam delay - ps
4 Damod poto-electro spectra 6 lectro yeld (a.u.) Laser testy (TW/cm ) lectro etc eergy (ev)
5 Keldys model Keldys model Keldys L. V. JTP 5() p (954) 4 / ~ mω F e ~ ~ exp ~ ~ 9 Φ ω ω ω ω ω ω ω ω π m F e m F e m w
6 & & L & & d total dt & p W W W & p ( L ) + α( L ) total α W pt ( ε ) ( ε ) W ( ε ) + pt pt ε crt ωl ~ pt ( ε ) W pt ( ε ) ( ε ) ~ α pt Retfeld MR model ( t) η ( t) ( s) d total dt W pt & p ( L ) + α ~ & ( s + α )( s + W ) αw s p ( / ) pt ~ pt & exp ptt ~ α p [( ) ] W + K & W p pt ( + / ) exp [( ) ] W t total pt - VB CB ε ε ε ε B. Retfeld Pys.Rev. Lett 9 (8) 874 (4)
7 Key pots Heatg sulator pulse f() lectro eergy dstrbuto cage due to te laser pulse rradato f ()? f() Heatg electro eerges crease due to te laser pulse teracto
8 Heatg of armoc oscllators esemble Heatg of armoc oscllators esemble ( ) ( ). t m c t ea m t z r r ψ ( ) exp! tot w N B. Bogatyrev A. N. Vasl ev ad U. V. Popov Moscow Uversty Pyscs Bullet 9 Vol. 64 No. 4 pp
9 Heatg of armoc oscllators esemble ergy υ55ev ergy υ55ev TW/cm TW/cm Populato -3-3 Populato ergy ev ergy ev Populato ergy υ55ev TW/cm -3-3 Populato ergy υ55ev ergy ev -4 TW/cm ergy ev -4
10 Heatg of armoc oscllators esemble 5 5 Probablty 5 Itesty TW/cm Oscllator eergy ev
11 lectro eatg te coducto bad of sulator troug a set of radom levels Iozato s t cosdered t s supposed tat tally electros are o te bottom of te coducto bad tey appear from te defects ( r t) ψ Hˆ t ( r t) ψ( r t) ˆ ( r) θ ( r) θ ( r) ( ) ( ) ψ r t t ( r ) α θ H α t ( t) α e mc j j ( t) + A( t) p α ( t) j Bad structure s t calculated radom levels are used ter desty of states s equal to real sulator p j θ j ( r) θ ( r)
12 lectro eatg te coducto bad of sulator troug a set of radom levels β t ( t) β e max ( t) + A( t) p j β j ( t) mc N j Radom levels ave desty of states of real sulator (damod)... N max Results obtaed after umercal resolvg of tme depedat Scrodger equato (TDS) β ( T ) For tal parameters of sulator ad laser pulse we resolve TDS for sets of radom levels after we average results ad obta electro dstrbuto by eergy ( eergy spectra) T - pulse durato
13 lectro eatg damod lectro eergy dstrbuto (ev - ) lectro eergy ( poto eergy) TW/cm x 6 3 TW/cm x 5 7 TW/cm x 4 TW/cm x 3 5 TW/cm x.7 TW/cm 3 TW/cm x DOS (arb. uts) lectro eergy (ev)
14 Desty matrx model Desty matrx model ( ) Λ + Γ d t d Im ( ) ( ) d t d + Γ Γ + Dagoal No dagoal Λ Γ ( ) ( ) ( ) ( ) ( ) ( ) + + Λ d g e e B p T T B B δ δ
15 Heatg desty matrx model for pulse testy 3 TW/cm cm ev lectro eergyev
16 Coclusos Te eatg model of armoc oscllators esemble (HOH) s created te aalytcal soluto for fal eergy dstrbuto s obtaed. Te maxmal electro eatg for sulators s estmated. Te model of electro eatg te coducto bad of sulators (IHRL) based o tme- depedat Scrodger equato s created. Te model uses desty y of states of a real sulator as te tal parameter of sample ad does t t demad te bad structure calculato stead te model uses te radom levels approac. Te qualtatve correspodece betwee eated electro eergy dstrbuto ad desty of states of damod s demostrated. Te appearg of ot electros te g-eergy part of eergy dstrbuto wle laser pulse testes are above 3TW/cm s demostrated. Te eatg model IHRL s mproved to use desty matrx of sulator. Te mproved model allows tae to accout te trasto wt quasmometum cagg t allows to obta more correspodece to expermetal data. Te mportace of trastos wt quasmometum cagg for eatg s demostrated.
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