Một số vấn đề exciton polariton trong bán dẫn có kể đến cấu trúc vùng

'\J -j JL ^^è^- -^^ ï^j-n—x!;-r 1^ i GHA2TDI KHAMSALISY v-u/^f J MOT s o YA:T DE EZCIû?OiI-?CXAIlITCII ^RGITG A J DAJ CO KÉ DEIT CAU TIIUC TUIJG LJ-iJ jju^iji a n t i e n a i ^ ' i —Vv oan-1:/ Hucng dan c h x n h ; Y i f n s x rỵGUỴỴ VAIT HI3'J Hu'o'ng dan phu HANOI : 19S6 : Pho t i g n s ỵ :\iGUYSN Ạ VỴET Mc^ dau : Trang Ghucng I : iilơt s5 phucng phap ly thuyet nghiên cuu exciton-polariton 1 - Phucng phap hàm Green cho ly thuygt polariton - Phu'cng phap cheo haa Bogoliubov 24- - Hang sS tat polariton 29 - ^ Pho nàng, lucns: axciron-^Dolari'con j-'l Chu'cng II : Pho exciton-polariton xat d^s^ câu truc vung cùa ban dan - Ban aan co eau ~ruc :/ur^zx~e - , Pho Dolariton-exciơon ciiât 37 ^-j -i-'t ban d^ bât dang huo^ng CdS - Cau truc vwv^ (ua ban dan l|p phucng 4? 4« Pho exciton-polariton cua ban dan l^p phu'cng 57 - Pho exciton-polariton o' mâu ban dan gân dung dSi xiỵng câu 5S- - Pho exciton-polariton o' mau ban dan GO d3i xung lâp phuong 54 Chucng III : Tan xç polariton-polariton ^^2 - ïan xa polariton-polariton 73 ' y ri o - ^ - -^UGTxg ûac e x c x t o n - e x c x i : o n - /-«^a -ia_ r-.-^ — J O I J S Œ e.c ao oan^ nnau ve gxa trx xuyet; uox» Hf dcn v:^ su dung ban luf.n an : ^ - •- - CIỴUGUG Z '^ICT 30 PHIỴCNG LHAP LY THUxLI ITHHILH GIJU SILCITGN - PGLA21ICIÏ H i ç n "hay c a c phi:rdng p h a p !±uc^c s\l d y n g n h i e u n h a t cho 15=; thu3^eT; p o l a r i t o n l phu:cng phap cheo hoa B o g o l i u b o v / I j ^ l e 30/ va p h u c n g pnap hàm Green V i ç n sx Ngun Vân L i e u de xu3"ơ dùng de n g h i ê n cùu qua e r x n h zại x^ co -•-, 'I T polariton /O / Lhudng phap ham :}r3en xa l:::^c dùng de nghiên cuu mçt cach co ket cua dinh luat "an sac eclariton nhieu nhanh le ce uns ap ^^ng vao pnan uxnn zoan sau nay, cnung "ơa can i:rinh ba3~ nai phUong phap mçnh Ghung se aanh hci r^ndan^z phap càch ^z d-;^ng ca hai so vào viêc zinh zoan de ûxm L^± ket qua cac biea thuc cua cac qua trxnh quang hçc zzaj chat; ban dan nhU la d4.iih lu^t tan sâc polariton va yeu to ma t^r^n cua qua trxnh "Uan x^ co polariton tham gia.' 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e\ m ^ (^'Rx=Hx« iZ^^x,^.^n Su dung txnh chat 3j, chung ta co \*.e-^,i^e) = i ỵ ^ | r [ l ^ _ ^ ^ j : ^ I/X ;/!i^f^ii£dt2; ^ (A-2) \t < iillll i ^ i 105 iii'iX+eif •36 s: «ni ï2 l -m-i >ni / \jTăC, •mz 3GK•>^,J e i/rf)(;te)r chung ta chx :cét cho (2-6-5) ^r /\^-e''-^-^2 l a cho dong gop X - V^'i^/W.) l t ^ p hop so lụçn^ t u chxnh, so lU-Jng \ r;u e u x is^^^ t u - i l ^3 -•»• '^•^' -^^Ç"^ ^.1^.1 p lnx khong xdn v^ hç nanf^ xng '•A^ - ỵt> n g u y e n td hdro:ren v o i hh (A-5) i! ^c i Vz l\ ^f) >M 1? e n ;'yLf «) jS,\ - /^ i r^.'-^A')K^^v (A-8 Q 'Il 'X '\(^>"ỵ)AyA>s) -H v ;i- 7l' ^32 f ^ \ L^rong xo % %, ^x ! XOl ^i| >3 - ^»+i 3-5) ^(s^X b7:^pf^;;x^i;,^!^^'ïr"f(-^H ti V - Ll^^-'KV-i,) i w r-b -J iVr X I ^(^.^*) =21/?LJ^-^X|v(-^](4^x')(^^^3^^ — Z^ -' - 'k Ki-"^^^) -^ \ii«' i)l>''-''l/ ' n ^u S_ ,, H ,^,.J- i \ ^ , (B-7) ; 349 » _2o45x.^- \5ỵ'' X-V 12 ( 5-x' ^^3 (ug>^^) TV Li'>l'-(6)'< '^5ni[...]... xunr % oxeu a "1 N ^"n ','" X^G ung xi^ỗng p xa nam nyaro; 7 ^ r; rUng cho cnuyen dỗng tUdng doi cua diỗn tu va lo trong trong long exciton5 'VYV, o{ Tia, : .p rong do 'YYX, l'nv'^ ) la kho: -rrx^ -V yrC^ l'iiỗng hiỗu dung eua diờn tu (lo trong) Hamiltonian t-hdng t a c cựa hỗ dl^n t u lo trong vdi tritdng diĐn tự b^ing: Tf-^l ^^-^-2^ H = ^ \\ f^.isM :].(0) - - A, (^,t) on, 15 ' ^w-i o Iv-L^ v^-'- ^;-"-... viet '-i J: (I- :trong ao ^0 nung co t n e V2 e T; X^ -iU c vtợcifl?tudnr-r unr-: c- a u m H$-4 Ejr)) >f ^6k(f)-uj(i:) v'(f-r) I-J ^J_y " X t>v^ợ-^; Sii chuyen hoa exciton- photon cựng eo ths thu du^c tr^.^c tiep tự dĐng phenomelogical cua Hamiltonian Ghựng ta se xet mỗt hỗ photon -exciton gom nhanh photon va N nhanh exciton Vdi mỗt trong hai d^ng... len hiỗu qua cua phudng phap hm xột dốn hõng so tõt Zi hi^u P X) polari~on cT lii-i polariton nhanh y / 5 5 , 3^/ ^ng se tõt exciton zihann n, Ghun^r ta xet vx di^ ap dyng phiudng phap ham Green txm d^xxh luỗt tan sac polariton d mu ban dn d6n thai gian vdi I nhanh, 2 nlianh exciton orgng IG, photon chx b^ hap thy bel exciton khong qua to h^p cac qua trxnh no khac Hamiltonian fddng tac hieu d-gLng d... Green exciton co the khai trien thnn phõn dỗc (L) va nhan ngang (l) nhu sau: i' 0 hực (1-1-2^; va (1-1-25} jiam Green vo ^n^dCnr nhii s a u ; % (17 ^ ... ^ - t ^ — i 15 k=o , vùng cam hçp so vdi cac huong khac (hxnh H-I) ta chx xét ky vùng vJ^'^^, P ^ 'S » /' *r n ^ Unj vuM^ acn - ềc hiidng[oc) va ^'^ vùng can m xa vùng p- I Cdu t r u L... vwv^ (ua ban dan l|p phucng 4? 4« Pho exciton-polariton cua ban dan l^p phu'cng 57 - Pho exciton-polariton o' mâu ban dan gân dung dSi xiỵng câu 5S- - Pho exciton-polariton o' mau ban dan GO... cnuyen dçng tUdng doi cua diçn tu va lo trong long exciton5 'VYV, o{ Tia, : •.p rong 'YYX, l'nv'^ ) la kho: -rrx^ -V yrC^ l'iiçng hiçu dung eua diên tu (lo trong) Hamiltonian t-hdng t a c cùa hç