Dynamic Response of Jospephson Resistive Logic (JAWS) GATE
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1 nterntl Jurnl f Scentfc & Eneer Reserch lume, ssue 0, Oct-0 SSN Dynmc Respnse f Jspephsn Resstve Lc (JAWS GATE K.Srvs n J. C. Bsws ABSTRACT---n ths pper thruh vestt f resstve lc te, JAWS (Jsephsn Aut-Weer System hs een me. The current equts f ths te t ech ste hve een euce. The ynmc respnse f ths te hs een te y the cmputer-smult. Our cncept f turn-n ely f Jsephsn unct hs een truce. The effect f verrve current n turn-n ely fr JAWS resstve lc te hs een shwn. Ths wll prve etter unerstn f swtch ynmcs f the JAWS lc te. Further, we hve shwn the effect f verrve current n ths lc te. NTRODUCTON Tw ttrctve fetures f SQUD evces fr lc pplcts re slt n serlly cnnecte fn-ut. The slt s prve y the trnsfrmer cupl etween the SQUD n the put. The slt s nt perfect the sense tht nse pulse (typclly 5 percent s fe ck t the cntrl le when the SQUD swtches t the nn-zer vlte. The ther vnte s the serl fn-ut cplty y whch the cntrl les f mny l evces cn e cnnecte seres wth sle utput le. The m rwcks f SQUD evces fr lc pplct re reltvely lre evce re n hh senstvty t stry mnetc fels. n SQUD 80% f the re s ccupe y the trnsfrmer []. Further, the hh senstvty t stry mnetc fel requres tht the SQUD se lc crcuts e well shele frm the stry mnetc fels. The resstve lc tes such s JAWS (Jsephsn Aut-Weer System [], DC (Drect Cuple slt [] n RCJL (Resstr Cuple Jsephsn Lc [4] re chsen ecuse the te lc ely ths cse wul cnsst f the turn-n ely, swtch ely n prpt ely, ut nt the crss ely s the cse f mnetclly cuple lc tes. Further, these resstve lc tes nt hve fctr f lmt the sze very serusly. S, the te prpt ely cn e me suffcently smll. Therefre, the smll tme cnstnt f the Jsephsn unct cn e rectly tte t these tes. t hs een cnsere y the erler wrkers [5] tht the turn-n ely f lc te s the tme tken fr the lc te t t % f the utput current t the l. Ths cnsert seems t e rtrry. DEPARTMWENT OF PHYSCS, GMR NSTTUTE OF TECHNOLOGY, RAJAM-57,A.P., ND,A Eml : JSER 0 srkur@ml.cm srvs.k@mrt.r DEPARTMENT OF ELECTRONCS AND ELECTRCAL COMMUNCATON ENGNEERNG, NDAN NSTTUTE OF TECHNOLOGY, KHARAGPUR-70 NDA. Due t ths fct, the present pper we hve me thruh vestt f the resstve lc te JAWS. Our cncept f turn-n ely[6] hs een truce whch wll e le t remve the cnfus crtclly scert the swtch spee f these lc tes. Further, the effect f verrve current n these resstve lc tes hs een stue. JAWS (Jsephsn Aut-Weer system A te f ths k hs een reprte y Fultn, et l [] n s clle JAWS. The sc te emplys tw uncts n resstr s shwn F. where J n J represent Jsephsn uncts wth crtcl currents n n unct cpctnces C n C respectvely. RL s the l resstr wth resstnce rl. R s the put resstr wth resstnce r The JAWS te s se the supercnuct stte y the te current n the ffset current ff. The current levels J n J re -ff n ff, respectvely. When the put sl s rectly ecte t ths JAWS evce, t wll t the s current unct J n sutrct frm the s current unct J. The unct J s current-summ unct whch swtches frst the te. Ths mkes J hhly resstve, steer mst f the sl n the te current les t run thruh the resstr R. The te current s selecte t e suffcent t then swtch J t the nn-zer vlte stte. Wth th J n J the hh-resstnce stte, the te current s steere t the l R n the sl current t run v the resstr R. The hh-resstnce f J prevents te current frm fee ck t the put sl le n thus prves slt. Hwever, the slt s nt perfect n smll munt f current (typclly 5% s fe ck t the put le.
2 nterntl Jurnl f Scentfc & Eneer Reserch lume, ssue 0, Oct-0 SSN n F. we hve shwn the current equts t ech ste f the lc te mente. Accr t F., the current equt t ech ste cn e wrtten s: 4 / r L (4 n 4, ff (5 (6 (7 (Nte: Here the effect f sup qusprtcle resstnce R hs een nelecte sce R >>r, r,. Sttc cse: After us the ve cnts Eqns.( n F. Crcut cnfurt f the resstve lc te JAWS wth threshl chrcterstcs. F. Crcut cnfurt f the resstve lc te JAWS wth current ct t ech ste f the lc te. s C ( s ( C ( / r ( ( ( le t s ff Eqn.( escres the sttc ehvur f the JAWS te. A sttc curve etween / n / wll ve the pert mrs n mrs f the JAWS te. Dynmc cse: Eqn. ( cn e wrtten s r s C C [ Smlrly, Eqn.( cn e wrtten s C s [ s ( s ] ] Further, frm Eqns. (6 n (7 we et, ff ff ( 4 ( (9 (8 JSER 0
3 nterntl Jurnl f Scentfc & Eneer Reserch lume, ssue 0, Oct-0 SSN Susttut the ve vlues n Eqns.(8 n(9, we t, we hve pte the present cse rer t vestte the swtch ynmcs f lc tes. s C r [ r L ff ] ( ( n ff 4 r C s [ 4 r L s ( ] Cmputer-smulte pulse respnse f the JAWS te cn e te y slv the Eqns.( n ( fr n put current pple s step funct t t=0 wth mpltue.5 th (threshl current. T slve these equts the tl cnts fr ( n ( re t e knwn whch cn e euce s fllws: At t = 0, Frm Ens. (6 n (7 r n n s ( s ( ff ff ff s ( ff ( ( n F. the current vrts wth tme t fferent stes f the JAWS te (shwn F. hve een pltte. The prmeters chsen fr pltt re = 0.mA n C = 0.8pF. These curves re lmst smlr t thse te y Jsephsn [5] us cmputer smult. Ths ves cnfence t ur smult pprch tht F. Smulte swtch ynmcs f the JAWS te. Crcut prmeters use the smult re = 0. ma, C = 0.8 pf, r = 0.8, rl = 0. Sce N/Al0 x/n Jsephsn technly hs etter qultes ver P-lly technly, we hve use N/A0 x/n Jsephsn unct prmeters fr the smult f the resstve lc te JAWS. The prmeters use re = 87mA n C = 0.7pF. t my e pte ut tht estmt the turn-n ely f lc te, Sne [5] hs cnsere the tme tht s neee t rech % f the utput current t the l. Ths cnsert seems t e rtrry. n the present cse we hve efe turn-n ely f lc te mre crtcl wy us the cncept f the turn-n ely f Jsephsn unct scusse Srvs [6]. t s the tme tken y the utput phse t rech t vlue /. t s expecte tht ths eft wll e le t remve cnfuss ef the turn-n ely f lc te. The ynmc respnse f JAWS te t ech ste hve een rwn F.4 us N/A0 x/n Jsephsn technly. The sl curve ctes the current vrt ( wth tme t ste '' s shwn F. n the te curve ctes the current 4 (utput current wth tme t ste 'A'. t cn e serve frm F.4 tht the utput current 4 hs cme mre quckly t ts sturt vlue thn F.. Ths s ue t the lw unct cpctnce vlue tht hs een cnsere the frmer cse. n F.5 we hve JSER 0
4 nterntl Jurnl f Scentfc & Eneer Reserch lume, ssue 0, Oct-0 SSN shwn the smulte swtch ynmcs f the JAWS te when the sup resstnce s tken t cnsert. F. 4 Smulte swtch ynmcs f the JAWS te. Crcut prmeters use the smult re frm N/A0x/N Jsephsn technly n re ven s = ma, C = 0.7 pf, r = 0.8, rl = 0. The swtch wvefrms n ut re smulte wvefrms f current flw the put resstr R n the utput current respectvely. F. 6 Smulte phse evlut vs tme fr JAWS te. n - re the phse fferences f the unmcts J n J, respectvely. Crcut prmeters use the smultn re = ma, C = 0.7 pf, r = 0.8 n rl = 0. Us ur cncept f turn-n ely (scusse ve, the turn-n ely t ech ste f the JAWS te hs een cte. Ths wll ve n exct physcl unerstn f swtch ynmcs f the JAWS te. Als we hve pltte (F-7 n F.7 the effect f verrve current n the turn-n ely f JAWS te uner fferent sn cnts, = 0.75,.5 n.5. n F.7 the sl curve shws the TD vrt f ste wth verrve n the te curve ctes the TD vrt f '' ste wth verrve. t cn e serve frm F.7 tht the turn-n ely f JAWS te ecreses wth the crese f verrve current. Als, the turn-n ely ecreses wth the F. 5 Smulte swtch ynmcs f the JAWS te when the sup resstnes re tken t cnsert. Further, F.6 we hve shwn the phse vrts wth tme t fferent stes f the JAWS te. The s n verrve current cnts re s fllws: =.5 ; =.5 n ff= F. 7 Turn-n ely f the JAWS te vs put JSER 0
5 nterntl Jurnl f Scentfc & Eneer Reserch lume, ssue 0, Oct-0 5 SSN current. D n D represent the turn-n ely vert wth tme t pt n respectvely (s shwn F F 7. Turn-n ely f the JAWS te vs put current. D represent the turn-n ely vrt wth tme t pt n respectvely (s shwn F.. crese f s rte. S y chs lre s n verrve currents we cn mmze the turn-n ely f the JAWS te. n smlr mnner thtuh vestt f ther resstve lc tes, DC lc te [7} n RCJL te[8] hve een me whch ves etter unerstn f lc tes efre they cul e frcte expermentlly. current swtche Jsephsn lc," Appl. Phys. Lett.. vl.4, n.0, My 979, pp [] T. R. Gheewl n A. Mukheree, " Jsephsn rect cuple lc (DCL," EDM Tech. D., (Wshtn DC, Decemer -5, 979, pp [4] J. Sne, T. Ysh n H. Ae, " Resstr cuple Jsephsn lc," Appl. Phys. Lett. vl.40, 98, p.74. [5] J. Sne, " Turn-n ely nlyss f currentect Jsephsn crcuts," J. Appl. Phys. vl.57, n.ll, June 985, pp [6] K. Srvs, J. C. Bsws, " Turn-n ely f Jsephsn unct," J f Lw Tempererture Physcs, vl.74, Ns. 5/6 989, pp [7] K. Srvs, J. C. Bsws, Dynmc respnse f Jsephsn resstve lc ( DC te, CCDC-, THA (SUBMTTED [8] K. Srvs, J. C. Bsws, Dynmc respnse f Jsephsn resstve lc ( RCJL te, CECS-, NDONESA (SUBMTTED CONCLUSONS A thruh vestt f JAWS lc te hs een me. The ynmc respnse f ths lc te hs een te y cmputer-smult. The cncept f ur turn-n ely hs een truce whch hs helpe us crtclly scert the swtch spee f the lc te. The effect f turn-n ely n verrve current hs een stue. t s serve tht fr lw fnuts, the JAWS lc te seems t e etter chce fr Jsephsn lc crcut pplct. t s expecte tht the cncept f turn-n ely wll e le t remve cnfuss whch re ly the erler vestts. REFERENCES [] T. R. Gheewl, " Jsephsn lc evces n crcuts," EEE Trns. Electrn Devces vl.ed-7, n.0, Octer 980, pp [] T. A. Fultn, S. S. Pe n L. N. Dunkleerer, " A smple hh perfrmnce JSER 0
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