EE 105 F 2016 Ky I So Fr Pro. A. M. iknj 1 Univrity o Ciorni, Brky
EE 105 F 2016 Sov or tion Lngth Pro. A. M. iknj W hv two qution n two unknown. W r iny in oition to ov or th tion th q 2 n n0 2 q 2 2 0 (1 q o q no (2 no 2 q æ è ö ø o 2 q æ è ö ø º n > 0 2
EE 105 F 2016 (cont. Pro. A. M. iknj 3 Univrity o Ciorni, Brky
EE 105 F 2016 Pro. A. M. iknj P Junction Ccitor Unr thrm quiibrium, th P junction o not rw ny (much currnt But notic tht P junction tor chrg in th c chrg rgion (trnition rgion Sinc th vic i toring chrg, it cting ik ccitor Poitiv chrg i tor in th nrgion, n ngtiv chrg i in th rgion: q q o no 4
EE 105 F 2016 Rvr Bi P Junction Pro. A. M. iknj Wht hn i w rvr th P junction? < 0 5 Sinc no currnt i owing, th ntir rvr otnti i ro cro th trnition rgion To ccommot th tr otnti, th chrg in th rgion mut incr I no currnt i owing, th ony wy or th chrg to incr i to grow (hrink th tion rgion
EE 105 F 2016 Pro. A. M. iknj 6 otg nnc o tion With Cn ro th mth but in th n w riz tht th qution r th m ct w rc th buitin otnti with th ctiv rvr : ø ö è æ n q X 1 1 ( 2 ( ( ( n n q ø ö è æ 1 ( 2 ( 0 q ø ö è æ 1 ( 2 ( 0 X X 1 ( 0
EE 105 F 2016 Chrg ru Bi Pro. A. M. iknj A w incr th rvr, th tion rgion grow to ccommot mor chrg Q J ( q ( q 1 Chrg i not inr unction o votg Thi i noninr ccitor W cn in m ign ccitnc or m ign by brking u th chrg into two trm Q J ( v QJ ( q( v 7
EE 105 F 2016 Pro. A. M. iknj 8 rivtion o Sm Sign Ccitnc o Tyor Sri nion: otic tht! J J v Q Q v Q ( ( R j j j q Q C C ú ú û ù ø ö è æ 1 ( 0 j j C q C 1 1 2 0 0 j q q q q C ø ö è æ ø ö è æ 2 2 2 2 0 0
EE 105 F 2016 Pro. A. M. iknj 9 Phyic Intrrttion o tion C otic tht th rion on th righthni i jut th tion with in thrm quiibrium Thi ook ik r t ccitor! j q C 2 0 0 1 0 1 1 2 j X q C ø ö è æ ( ( j X C
EE 105 F 2016 Pro. A. M. iknj A rib Ccitor (rctor Ccitnc vri vru : C C j j 0 Aiction: Rio Tunr 10
Currnt in P Junction Pro. Ai M. iknj Pro. Rikky Mur rtmnt o EECS Univrity o Ciorni, Brky
EE 105 F 2016 Thrm Gnrtion 12 io unr Thrm Equiibrium Minority Crrir Co to Junction ty J rit, J n, rit E 0 J ni, J i, nty Pro. A. M. iknj Crrir with nrgy Rcomntion bow brrir hight iuion m inc w crrir hv nough nrgy to ntrt brrir rit currnt i m inc minority crrir r w n r btwn: Ony minority crrir gnrt within iuion ngth cn contribut currnt Imortnt Point: Minority rit currnt innnt o brrir! iuion currnt trong (onnti unction o brrir q A
EE 105 F 2016 Pro. A. M. iknj Rvr Bi Rvr Bi cu n incr brrir to iuion iuion currnt i ruc onntiy ty nty A q( R rit currnt o not chng 13 t rut: Sm rvr currnt
EE 105 F 2016 Pro. A. M. iknj Forwr Bi Forwr cu n onnti incr in th numbr o crrir with uicint nrgy to ntrt brrir iuion currnt incr onntiy ty nty A q( R rit currnt o not chng 14 t rut: Lrg orwr currnt
EE 105 F 2016 io I Curv Pro. A. M. iknj I I I ( I S q æ ö I IS 1 è ø 1 q 15 io I rtion i n onnti unction Thi onnti i u to th Botzmnn itribution o crrir vru nrgy For rvr th currnt turtion to th rit currnt u to minority crrir
EE 105 F 2016 Minority Crrir t Junction Eg Pro. A. M. iknj Minority crrir concntrtion t bounri o tion rgion incr brrir owr th unction i ( ( n n (minority ho conc. on ni o brrir (mjority ho conc. on i o brrir ( Brrir Enrgy / n( n A q( B / (Botzmnn Lw 16
EE 105 F 2016 Pro. A. M. iknj Lw o th Junction Minority crrir concntrtion t th g o th tion rgion r givn by: n ( n A q( B / n ( q( B / 17 ot 1: A n r th mjority crrir concntrtion on th othr i o th junction ot 2: w cn ruc th qution urthr by ubtituting 0 (thrm quiibrium ot 3: umtion tht n << n n << A
EE 105 F 2016 Pro. A. M. iknj Minority Crrir Concntrtion n0 q A i n i n 0 q A qa n( n0 æ ö n0 1 è ø L n 0 n0 Minority Crrir iuion Lngth W n W n Th minority crrir concntrtion in th buk rgion or orwr i cying onnti u to rcomntion 18 riv in EE130
EE 105 F 2016 Pro. A. M. iknj StyStt Concntrtion Aum tht non o th iuing ho n ctron rcomn à gt tright in n0 q A i n i n 0 q A n 0 n0 W n W n 19 Thi o hn i th minority crrir L iuion ngth r much rgr thn W n, >> W, n, riv in EE 130 n
EE 105 F 2016 io Currnt niti Pro. A. M. iknj i n 0 q A n0 q A n i q A 0 0 n n n (» ( W n0 n 0 W n W n n 0 n 2 i qa n i æ ö n Jn qn» q n0 1 W è ø qa i æ ö n J q»q n0 1 W n n è ø 20 q æ A i 2 öæ ö n J qni 1 W n W è ø è ø riv in EE 130
EE 105 F 2016 Fbriction o IC io Pro. A. M. iknj ctho nno n ty nw ty Strt with ty ubtrt Crt nw to hou io n n iuion rgion r th ctho n nno w mut b rvr rom ubtrt Pritic ritnc u to w ritnc 21
EE 105 F 2016 io Sm Sign Mo Pro. A. M. iknj Th I rtion o io cn b inriz I i I æ ö I è ø q ( v q qv S 1» S 2 3 1 L 2! 3! æ q ( v ö I i» I 1 L è ø i qv» g v 22
EE 105 F 2016 io Ccitnc Pro. A. M. iknj 23 W hv ry n tht rvr io ct ik ccitor inc th tion rgion grow n hrink in ron to th i i. Th ccitnc in orwr i givn by S Cj A» 1.4C X But nothr chrg torg mchnim com into y in orwr Minority crrir injct into n n rgion ty in ch rgion or whi On vrg ition chrg i tor in io j0
EE 105 F 2016 Chrg Storg Pro. A. M. iknj n0 q ( v i n 0 q ( v n i n 0 n0 W n W n Incring orwr incr minority chrg nity By chrg nutrity, th ourc votg mut uy qu n ooit chrg 1 qi A ti nyi yi: C 2 t Tim to cro junction 24 (or minority crrir itim
EE 105 F 2016 Pro. A. M. iknj io Circuit Rctiir (AC to C convrion Avrg vu circuit Pk tctor (AM moutor C rtorr otg oubr / qurur / 25