doi: info:doi/ /j.sse

Size: px
Start display at page:

Download "doi: info:doi/ /j.sse"

Transcription

1 doi: ifo:doi/1.116/j.sse.1.1.

2 IGBT calig Pricile Toward CMO Comatible Wafer Processes Masahiro Taaka* ad Ichiro Omura Kyushu Istitute of Techology, 1-1 esui-cho, Tobata-ku, Kitakyushu-city, , APAN 1. Abstract A scalig ricile for trech gate IGBT is roosed. CMO techology o large diameter wafer eables to roduce various digital circuits with higher erformace ad lower cost. The trasistor cell structure becomes laterally smaller ad smaller ad vertically shallower ad shallower. I cotrast, latest IGBTs have rather deeer trech structure to obtai lower o-state voltage dro ad tur-off loss. I the asect of the rocess uiformity ad wafer warage, maufacturig such structure i the CMO factory is difficult. I this aer, we show the scalig ricile toward shallower structure ad better erformace. The ricile is theoretically exlaied by our reviously roosed tructure Orieted aalytical model. The ricile reresets a ossibility of techology directio ad roadma for future IGBT for imrovig the device erformace cosistet with lower cost ad high volume roductivity with CMO comatible large diameter wafer techologies. Keywords: IGBT, More tha Moore, costat field scalig, roadma, comact model 1. Itroductio The 3mm to 45mm More Moore field semicoductor techology based o the high resolutio lithograhic techiques ehaces sigificat erformace ad mass-roductivity imrovemets i the digital itegrated circuits by Moore s Law as a scalig by a factor of.7 every years for critical dimesio [1] [17]. O the other had, the imortace of More tha Moore field like that aalog ad mixed sigal rocessors, sesors ad actuators, micro-mechaical devices, ad ower devices, is icreased a lot. Ad these More tha Moore devices also will be forced to be desiged i the comatibility of the large diameter wafer rocess techology to realize better erformace ad lower cost. Trech gate IGBTs are curretly mass roduced o the wafers of ~mm diameter. Curret structures have rather dee trech gate o the Cathode side to obtai better trade-off relatioshi betwee o-state voltage dro V ce (sat) ad tur-off loss[]-[16]. Thus, curret techical directio for the trech gate IGBT is differet from the More Moore rocess techologies. I this aer, we roose a scalig ricile for the trech gate IGBT. By alyig the ricile, the More Moore rocess techologies ca be used for the trech gate IGBT fabricatio ad the scaled IGBT shows better erformace eve with shallower Cathode structure; shallower trech gate ad shallower P-base. The ricile directs ew IGBT desig treds with the comatibility for the large diameter wafer rocess techology. * Corresodig author. mtaaka@hotmail.com Tel/Fax: +81 (93)

3 1.5um 3.um 6.um From ext sectio, we begi with the cocet for our scalig ricile. The we show the verificatio results for the scalig ricile by two-dimesioal TCAD simulatios. The results show that the IGBT eve with shallower Cathode structure which desiged by the roosed scalig ricile has lower o-state voltage dro tha the covetioal structure. After that, we discuss about this imrovemet by referrig our reviously roosed tructure Orieted aalytical model [18]. The imrovemet ca be theoretically exlaied by the comact model formatio. Fially we show a otetial of the IGBT s further erformace imrovemet by reducig wafer thickess margi, which is eabled by arrower trech-trech sacig.. IGBT calig Pricile D D T tn-base P-float P-Base 3.um N-Base N-Buffer P-Emitter W Tox=1m 16um (a) Covetioal structure k=1 The scalig ricile is based o the geeral CMO scalig ricile with cosiderig the Cathode side electro ijectio efficiecy. The ricile realizes both shallower Cathode structure ad higher tha the covetioal structure. It leads higher carrier cocetratio i the Cathode side ad lower o-state voltage dro. Figure 1 shows the cocet of the scalig ricile. Figure 1 (a) shows commercially available IGBT that has a 6um deth trech gate ad a 3um deth P-base. Trech-trech sacig is 3um ad cell itch is 16um. It uses a 1 agstrom gate oxide thickess ad the P-base cocetratio is chose to give suitable gate threshold voltage V t of aroud 5V. The alied gate voltage is 15V. I this aer, we itroduce a scalig factor k for these structure arameters ad the gate voltage. Figure 1 (b) ad (c) show the scaled IGBTs with k= ad 5 resectively. Four arameters are reduced by the scalig factor k; trech-trech sacig, gate oxide thickess T ox, trech deth D T ad P-base deth D P. I the other words, =/k, T ox =T ox /k, D T =D T /k ad D P =D P /k where the rimed arameters refer to the scaled device. The cell itch W kees costat. There are o arragemets i the Aode side. For examle, the scaled device with k= has a 3um deth trech gate, a 1.5um deth P-base, a 1.5um trech-trech sacig ad a 5 agstrom thickess gate oxide. But the cell itch kees 16um as the covetioal structure. 1.5um 3.um Tox=5m 16um (b) caled structure k= P-Base.6um P-Base.6um Tox=m 1.um 16um (c) caled structure k=5 Figure 1. caled trech IGBT Ulike the CMO scalig ricile, the P-Base doig cocetratio is ot scaled to kee similar saturatio curret level to the covetioal structure. But, as discussed later, slight adjustmet for the P- Base cocetratio is required to obtai same switchig characteristics ad saturatio curret as the covetioal structure.

4 Carrier Cocetratio[1/cm 3 ] c[a/cm ] The gate voltage for the scaled device is reduced by the scalig factor. I the other words, V g =V g /k. o, for examle, the gate voltage for k= device is 7.5V. The alied electric field i the gate oxide is ket as the covetioal structure. I order to roduce highly scaled device such as k=5, several develomets for the fabricatio rocess would be required. First, high quality large diameter Floatig Zoe (FZ-) wafers should be established while the Czochralski (CZ-) wafers or eitaxial wafers are used for the More Moore devices. ecod, the short chael effect due to the shallower P-Base should be elimiated to reduce leakage curret. Third, the high-k gate dielectric ad the metal gate rocesses should be develoed for the trech gate to kee dielectric reliability ad lower gate resistivity. 3. Verificatio of the calig Pricile Proosed scalig ricile was verified by twodimesioal TCAD simulatios. We used 1.kV thi wafer PT-IGBT vertical structure for the validatio. Table 1 shows structure arameters for k=1 to 5. CP- Base is the P-Base doig cocetratio at the juctio betwee the N-Emitter ad P-Base. Gaussia distributios are assumed to P-Base doig rofiles. The cocetratios are adjusted so that the threshold voltage of the scaled devices are 1/k of the covetioal (k=1) device. The N-Base doig cocetratio is 7.x1 13 cm -3. The P-Emitter doig cocetratio ad thickess are 1.x1 17 cm -3 ad 1um resectively. The N-Buffer doig cocetratio ad thickess are 9.x1 16 cm -3 ad 1um resectively. A costat doig rofile is assumed for the P-Emitter ad N-Buffer. Table 1. tructure arameters used for the scalig ricile verificatio. k W[um] D T [um] D P [um] [um] T ox [A] V g [V] CP-Base [x1 17 cm -3 ] tn-base[um] Calculated I c -V ce characteristics of the scaled structures are show i Figure. The o-state voltage dro is reduced with icremetig k. Calculated N-Base carrier distributios of the scaled structures are show i Figure 3. It shows that higher carrier cocetratio ca be obtaied i the Cathode side with icremetig k. The result meas that this IGBT scalig ricile realizes higher electro ijectio efficiecy tha the covetioal structure. It also meas the erformace of the scaled device is better tha the covetioal structure. Calculated iductive tur-off waveforms are show i Figure 4. The scaled devices show same switchig characteristics because the gate charge Q g ad the differece of the gate voltage ad threshold voltage, V g -V t, are equally scaled by k. The Q g is scaled as Q g =Q g /k due to T ox =T ox /k, D T =D T /k ad V g =V g /k. Calculated breakdow characteristics are show i Figure 5. The scaled devices show higher breakdow voltage because the electric field distributio aroud the bottom of the trech gate is imroved by arrower trech-trech sacig k=1 Vge=15.V k= Vge=7.5V k=3 Vge=5.V k=4 Vge=3.75V k=5 Vge=3.V Vce[V] Figure. Calculated I c -V ce characteristics for the scalig factor k=1 to 5. 3.E+16.E+16 1.E+16 k=1 Vge=15.V k= Vge=7.5V k=3 Vge=5.V k=4 Vge=3.75V k=5 Vge=3.V.E Distace from Aode[um] Figure 3. Calculated carrier distributio i the N-

5 c[a/cm ] c[a/cm ] Vce[V] Vg[V] Base regio for the scalig factor k=1 to 5. (c=15a/cm ) k=1 Vge=15.V k= Vge=7.5V k=3 Vge=5.V k=4 Vge=3.75V k=5 Vge=3.V 6 4 I this model, we assumed a coductive modulatio (~) ad o carrier recombiatio i the mesa regio. We also assumed that a art of electro curret flows alog the accumulatio layer beside the trech gate. Figure 6 shows the curret elemets uder the P-base regio. I acc is the electro curret via the accumulatio layer er uit legth for the third directio. mesa ad mesa are the electro curret desity ad hole curret desity i the mesa regio, resectively. cell ad cell are the electro curret desity ad hole curret desity i the N- Base regio, resectively. W x time[us] Figure 4. Calculated iductive tur-off waveforms for the scalig factor k=1 to 5. P-Float P-Base P-Float acc mesa mesa I x 3 x 1.E-3 1.E-4 1.E-5 k=1 k= k=3 k=4 k=5 cell cell N-Base Figure 6. Assumed curret elemets i the trech gate structure 1.E-6 1.E-7 1.E Vce[V] Figure 5. Calculated breakdow characteristics for the scalig factor k=1 to Discussio with the tructure orieted comact model. Cathode side aalytical modellig I this sectio we discuss about the detailed mechaism to obtai lower o-state voltage dro istead of shallower Cathode structures. It ca be exlaied by reviously roosed tructure Orieted aalytical model for the trech gate IGBTs [18]. trie cell structure is assumed i this aer. We review the Cathode side formulatio. Followig relatioshis are held betwee the mesa regio ad N-Base regio. W cell mesa ( x ) ( (1) cell acc mesa W ( x ) I ( ( () The electro curret flowig i the accumulatio layer ca be calculated by the electro quasi- acc I Fermi otetial ad the electro mobility of MO gate. I acc Vg d ( acc ox (3) T ox The electro mobility i the accumulatio layer acc is degraded by the ormal electric field ad ca be calculated by [19].

6 The electro curret desity i the mesa regio ca be formed by the electro cocetratio ad electro quasi-fermi otetial as mesa d ( q ( (4) From the drift-diffusio equatios uder the coductive modulatio coditio, followig differetial equatio for the carrier desity ca be formulated i the mesa regio. mesa mesa d ( ( kt (5) From (1) to (5), we obtai the Cathode side carrier distributio equatio with the structure arameters as oxaccvg 1 Toxq ( qd d W Where cell cell ( x ) ( x ) 1 cell 1 1 ( x ) ad is the total curret desity. (6) (7) 1.1. Theory for IGBT erformace imrovemet The theory for the ricile is delivered from eq. (6). The differetial equatio ca be arraged to the scaled Cathode structures. oxacc( Vg / k) 1 ( Tox / k) q( ( / k) qd ( / k) d k W 1 (8) 1 ' 1 The right had side of (8) is equal to that of (6). For the left had side of (6) ad (8), followig relatioshi is held for k > 1. oxaccvg oxacc( Vg / k) T q ( ( T / k) q ( ( / k) ox ox (9) It leads higher ijectio efficiecy from the Cathode side. ' (1) It leads higher carrier cocetratio i the N-Base Cathode side ad lower o-state voltage dro. It meas the device characteristic imrovemet ca be obtaied by scaled Cathode structure ad alyig same electric field for the gate oxide. Other electrical characteristics are chaged by itroducig the scalig factor k as Table : The gateemitter caacitace C ge is uchaged because T ox =T ox /k ad D =D /k. The gate charge Q g is reduced by the scalig factor k as described before, Q g =Q g /k. The curret desity of the cotact metal Metal is icreased by the scalig factor k, Metal =k Metal because the cotact hole width is reduced by k. Electro migratio should be cosidered for large k structures. Oe characteristic that the ricile fails to scale is the threshold voltage. The threshold voltage V t ca be calculated as followig V t qn i C ox A (11) Where C ox is the gate caacitace er uit area, N A is the accetor cocetratio ad is the surface otetial of the MO chael. V t is reduced because the gate caacitace er uit area is icreased by the scalig ricile as C ox =kc ox. But the V t is ot scaled by k exactly. To adjust the threshold voltage so that keeig scalig ricile, V t =V t /k, the P- Base doig cocetratio at the juctio betwee the N-Emitter ad P-Base should be set as followig. ( kco ( Vt / k ) N A' q i Established scalig ricile is summarized i (1)

7 Table.

8 c[a/cm ] c[a/cm ] Table. Established scalig ricile. Parameters ad Characteristics ymbol calig Factor k Cell Width W 1 Trech-Trech acig 1/k P-Base Deth D P 1/k P-Base Doig Cocetratio CP-Base Eq.(1) Trech Deth D T 1/k Oxide Thickess T ox 1/k Voltage V g 1/k Estimated Resistace R g 1 Electric Field i Oxide E ox 1 -Emitter Caacitace C ge 1 Charge Q g 1/k Curret Desity of Cotact Hole Metal k O-state Voltage Dro V ce (sat) <1 Electro Ijectio Efficiecy γ >1 tored Carrier Desity >1. Further trade-off imrovemet for o-state voltage dro ad tur-off loss As calculated before, the breakdow voltage is imroved by alyig the scalig ricile because arrower trech-trech sacig relaxes the electric field aroud the bottom of the trech. With large scalig factor, the electric field distributio should be closed to that of a ideal oe-dimesioal BT structure. The margi of the N-Base thickess ca be reduced with icremetig k. It leads further erformace imrovemet. TCAD simulatios with adjusted N-Base thickess were erformed. The structure arameters are show i Table 3. The N-Base thickess tn-base is set to obtai similar breakdow voltage of k=1 as show i Figure 7. Calculated I c -V c characteristics are show i Figure 8. As comarig with Figure, o-state voltage dro imrovemet of the reduced N-Base thickess devices are greater tha simly scaled devices. Table 3. tructure arameters used for the scalig ricile verificatio with reduced N-Base thickess. calig Factor k W[um] D T [um] D P [um] [um] T ox [A] V g [V] CP-Base[x1 17 cm -3 ] tn-base[um] E-3 1.E-4 1.E-5 1.E-6 1.E-7 k=1 tn-base=1um k=3 tn-base=11um k=5 tn-base=1um 1.E Vce[V] Figure 7. Calculated breakdow characteristics for scalig factor k=1, 3, 5 with reduced N-Base thickess k=1 tn-base=1um Vge=15.V k=3 tn-base=11um Vge=5.V k=5 tn-base=1um Vge=3.V Vce[V] Figure 8. Calculated I c -V c characteristics for scalig factor k=1, 3, 5 with reduced N-Base thickess. 3. Coclusio We roosed ew scalig ricile for the Trech gate IGBT to make comatibility with the CMO large diameter wafer rocess. By the ricile, the scaled device has shallower trech gate, shallower P- Base ad thier gate oxide. The scaled device ca have rocess comatibility to the CMO with better rocess uiformity ad o wafer bowig. I site of the shallower trech gate, lower o-state voltage dro ca be obtaied by alyig scaled gate voltage which gives same electric field i the gate

9 oxide. The imrovemet was simulated by twodimesioal TCAD ad theoretically roved by referrig our reviously roosed comact model. Additioally, further imrovemet was redicted by reduced N-Base thickess margi. The ricile has large imact to be used for ew IGBT develomet directio. The roductivity should be imroved dramatically because it is formed o the large diameter wafer with smaller thermal budget ad shorter etchig time. P-float P-Base N-Base x ( Aedix: N-Base modellig Figure 9 shows cross-sectioal view of the trech gate IGBT. The N-Base carrier cocetratio ( ca be formulated by the ambiolar equatio that has the carrier lifetime ad diffusio legth L A of high ijectio coditio []. d ( d( L A ( (1) dt For the steady state coditios, the time deedet term is omitted ad the solutio ca be formed as [1] ( L (11) A d x x d x x1 ( x 1) cosh ( x ) cosh LA LA x x1 sih LA where x 1 ad x are the ositios of Aode edge ad Cathode edge of the N-Base regio as show i Figure 9. Eq.11 meas that the N-Base carrier distributio deeds o the differetials of the carrier distributio at both edges. Followig differetial equatio of the carrier desity ca be also formulated i the N-Base regio. kt d (1) N-Buffer P-Emitter Figure 9. O-state carrier distributio The differetials ca be obtaied as follows. d x ( 1 ) kt x 1 x (13) d x ( ) (14) kt where ad are the hole ijectio efficiecy at the Aode side ad the electro ijectio efficiecy at the Cathode side, resectively. ( x 1 ) (15) ( x ) (16) The voltage dro i the N-Base ca be calculated based o the stored carrier cocetratio.

10 V N base kt x 1 d x q xx1 q x x1 1 (17) From these equatios, the o-state N-Base carrier distributio ca be calculated by ad. I the other words, by keeig ad as costats, same carrier distributio ad voltage dro are obtaied eve if the structure is scaled. The scalig ricile is based o this idea. Refereces [1] More-tha-Moore White Paer, ITR, 1. [] M. Kitagawa, I. Omura,. Hasegawa, T. Ioue ad A. Nakagawa, A 45V ijectio ehaced isulated gate biolar trasistor (IEGT) oeratig i a mode similar to a thyristor, IEDM Techical Digest, , [3] M. Harada, T. Miato, H. Takahashi, H. Nishihara, K. Ioue ad I. Takata, 6V Trech IGBT i Comariso with Plaar IGBT A Evaluatio of the Limit of IGBT Performace-, Proc. of 6th iteratioal ymosium o Power emicoductor Devices & IC s(ipd), , [4] T. Takeda, M. Kuwahara,. Kamata, T. Tsuoda, K. Imamura ad. Nakao, 1V Trech-gate NPT-IGBT (IEGT) with Excellet Low O-tate Voltage, Proc. of 1th iteratioal ymosium o Power emicoductor Devices & IC s(ipd), , [5] T. Laska, F. Pfirsch, F. Hirler,. Niedermeyr, C. chaffer, ad T. chmidt, 1V-Trech- IGBT tudy with quare hort Circuit OA, Proc. of 1th iteratioal ymosium o Power emicoductor Devices & IC s(ipd), , [6] R. ittig ad F. Heike, Moolithic bidirectioal switch. I. Device cocet, olid- tate Electroics 44(), ,. [7] R. ittig ad F. Heike, Moolithic bidirectioal switch. II. imulatio of device characteristics, olid-tate Electroics 44(), ,. [8] T. Laska, M. Muzer, F. Pfirsch, C. chaeffer, ad T. chmidt, The Field to IGBT (F IGBT) A New Power Device Cocet with a Great Imrovemet Potetial, Proc. of 1th Iteratioal ymosium o Power emicoductor Devices & IC s(ipd), ,. [9] M. Taaka,. Teramae, Y. Takahashi, T. Takeda, M. Yamaguchi, T. Ogura. T. Tsuoda ad. Nakao, 6V Trech-gate NPT-IGBT with Excellet Low O-tate Voltage, Proc. of 1th Iteratioal ymosium o Power emicoductor Devices & IC s(ipd),. 79-8,. [1] T. Matsudai, H. Nozaki,. Umekawa, M. Taaka, M. Kobayashi, H. Hattori ad A. Nakagawa, Advaced 6um Thi 6V Puch-Through IGBT Cocet for Extremely Low Forward Voltage ad Low Tur-off Loss, Proc. of 13th Iteratioal ymosium o Power emicoductor Devices & IC s(ipd), , 1. [11] K. Hamada, T. Kushida, A. Kawahashi ad M. Ishiko, A 6V A Low Loss High Curret Desity Trech IGBT for Hybrid Vehicle, Proc. of 13th Iteratioal ymosium o Power emicoductor Devices & IC s(ipd), , 1. [1] M. Baus, M. Z. Ali, O. Wikler, B. ageberg, M. C. Lemme ad H. Kurz, Moolithic bidirectioal switch (MB) - a ovel MO-based ower device, Proc. of 35th Euroea olid-tate Device Research Coferece (EDERC), , 5. [13] A. Nakagawa, Theoretical Ivestigatio of ilico Limit Characteristics of IGBT, Proc. of the 18th Iteratioal ymosium o Power emicoductor Devices & IC s(ipd), essio 1-, 6. [14] M. Baus, B. N. zafraek, t. Chmielus, M. C. Lemme, B. Hadam, B. ageberg, R. ittig ad H. Kurz, Fabricatio of Moolithic Bidirectioal witch (MB) devices with MO-cotrolled emitter structures, Proc. of the 18th Iteratioal ymosium o Power emicoductor Devices & IC s(ipd), essio 6-8, 6. [15] M. Momose, K. Kumada, H. Wakimoto, Y. Oozawa, A. Nakamori, K. ekigawa, M. Wataabe, T. Yamazaki ad N. Fujishima, A 6V uer Low Loss IGBT with Advaced Micro-P tructure for the ext Geeratio IPM, Proc. of the d Iteratioal ymosium o Power emicoductor Devices & IC s(ipd), , 1. [16] M. Takei,. Fujikake, H. Nakazawa, T. Naito, T. Kawashima, K. himoyama ad H. Kuribayashi, DB (Dielectric Barrier) IGBT with Extreme Ijectio Ehacemet, Proc. of the d Iteratioal ymosium o Power emicoductor Devices & IC s(ipd), , 1.

11 [17] R. H. Deard, F. H. Gaessle, Hwa-Nie Yu, V. L. Rideout, E. Bassous, ad A. R. Leblac, Desig of Io-Imlated MOFET s with Very mall Physical Dimesios, IEEE oural of olid-tate Circuits, Vol. C-9, No. 5,.56-68, Oct [18] M. Taaka ad I. Omura, tructure Orieted Comact Model f6r Advaced Trech IGBTs without Fittig Parameters for Extreme Coditio: art I, Microelectroics Reliability 51, , 11. [19] C. Lombardi,. Mazii, A. aorito ad M. Vazi, A Physically Based Mobility Model for Numerical imulatio of Nolaar Devices, IEEE Trasactios o Comuter-Aided Desig, vol. 7, o. 11, , [] H. Beda ad E. eke, "Reverse recovery rocesses i silico ower rectifiers", Proc. IEEE, vol. 55, o. 8, , [1] V. K. Khaa, IGBT-Theory ad Desig, IEEE Press, 3.

doi: info:doi/ /ispsd

doi: info:doi/ /ispsd doi: ifo:doi/1.119/ipd.212.622952 1.5um 3.um 6.um calig Rule for Very hallow Trech IGBT toward CMO Process Comatibility Masahiro Taaka ad Ichiro Omura Kyushu Istitute of Techology 1-1 esui-cho, Tobata-ku,

More information

doi: info:doi/ /j.microrel

doi: info:doi/ /j.microrel doi: ifo:doi/10.1016/j.microrel.2014.07.158 Structure orieted comact model for advaced trech IGBTs without fittig arameters for extreme coditio: art II J. Takaishi a, *, S. Harada a, M. Tsukuda b, I. Omura

More information

Monolithic semiconductor technology

Monolithic semiconductor technology Moolithic semicoductor techology 1 Ageda Semicoductor techology: Backgroud o Silico ad Gallium Arseide (GaAs) roerties. Diode, BJT ad FET devices. Secod order effect ad High frequecy roerties. Modelig

More information

Basic Physics of Semiconductors

Basic Physics of Semiconductors Chater 2 Basic Physics of Semicoductors 2.1 Semicoductor materials ad their roerties 2.2 PN-juctio diodes 2.3 Reverse Breakdow 1 Semicoductor Physics Semicoductor devices serve as heart of microelectroics.

More information

Basic Physics of Semiconductors

Basic Physics of Semiconductors Chater 2 Basic Physics of Semicoductors 2.1 Semicoductor materials ad their roerties 2.2 PN-juctio diodes 2.3 Reverse Breakdow 1 Semicoductor Physics Semicoductor devices serve as heart of microelectroics.

More information

1. pn junction under bias 2. I-Vcharacteristics

1. pn junction under bias 2. I-Vcharacteristics Lecture 10 The p Juctio (II) 1 Cotets 1. p juctio uder bias 2. I-Vcharacteristics 2 Key questios Why does the p juctio diode exhibit curret rectificatio? Why does the juctio curret i forward bias icrease

More information

EE105 Fall 2015 Microelectronic Devices and Circuits. pn Junction

EE105 Fall 2015 Microelectronic Devices and Circuits. pn Junction EE105 Fall 015 Microelectroic Devices ad Circuits Prof. Mig C. Wu wu@eecs.berkeley.edu 511 Sutardja Dai Hall (SDH 6-1 Juctio -tye semicoductor i cotact with -tye Basic buildig blocks of semicoductor devices

More information

Nonequilibrium Excess Carriers in Semiconductors

Nonequilibrium Excess Carriers in Semiconductors Lecture 8 Semicoductor Physics VI Noequilibrium Excess Carriers i Semicoductors Noequilibrium coditios. Excess electros i the coductio bad ad excess holes i the valece bad Ambiolar trasort : Excess electros

More information

Quiz #3 Practice Problem Set

Quiz #3 Practice Problem Set Name: Studet Number: ELEC 3908 Physical Electroics Quiz #3 Practice Problem Set? Miutes March 11, 2016 - No aids excet a o-rogrammable calculator - ll questios must be aswered - ll questios have equal

More information

Semiconductors. PN junction. n- type

Semiconductors. PN junction. n- type Semicoductors. PN juctio We have reviously looked at the electroic roerties of itrisic, - tye ad - time semicoductors. Now we will look at what haes to the electroic structure ad macroscoic characteristics

More information

Carriers in a semiconductor diffuse in a carrier gradient by random thermal motion and scattering from the lattice and impurities.

Carriers in a semiconductor diffuse in a carrier gradient by random thermal motion and scattering from the lattice and impurities. Diffusio of Carriers Wheever there is a cocetratio gradiet of mobile articles, they will diffuse from the regios of high cocetratio to the regios of low cocetratio, due to the radom motio. The diffusio

More information

Introduction to Microelectronics

Introduction to Microelectronics The iolar Juctio Trasistor Physical Structure of the iolar Trasistor Oeratio of the NPN Trasistor i the Active Mode Trasit Time ad Diffusio aacitace Ijectio fficiecy ad ase Trasort Factor The bers-moll

More information

Overview of Silicon p-n Junctions

Overview of Silicon p-n Junctions Overview of Silico - Juctios r. avid W. Graham West irgiia Uiversity Lae eartmet of omuter Sciece ad Electrical Egieerig 9 avid W. Graham 1 - Juctios (iodes) - Juctios (iodes) Fudametal semicoductor device

More information

Lecture 3. Electron and Hole Transport in Semiconductors

Lecture 3. Electron and Hole Transport in Semiconductors Lecture 3 lectro ad Hole Trasort i Semicoductors I this lecture you will lear: How electros ad holes move i semicoductors Thermal motio of electros ad holes lectric curret via lectric curret via usio Semicoductor

More information

Mark Lundstrom Spring SOLUTIONS: ECE 305 Homework: Week 5. Mark Lundstrom Purdue University

Mark Lundstrom Spring SOLUTIONS: ECE 305 Homework: Week 5. Mark Lundstrom Purdue University Mark udstrom Sprig 2015 SOUTIONS: ECE 305 Homework: Week 5 Mark udstrom Purdue Uiversity The followig problems cocer the Miority Carrier Diffusio Equatio (MCDE) for electros: Δ t = D Δ + G For all the

More information

5.1 Introduction 5.2 Equilibrium condition Contact potential Equilibrium Fermi level Space charge at a junction 5.

5.1 Introduction 5.2 Equilibrium condition Contact potential Equilibrium Fermi level Space charge at a junction 5. 5.1 troductio 5.2 Equilibrium coditio 5.2.1 Cotact otetial 5.2.2 Equilibrium Fermi level 5.2.3 Sace charge at a juctio 5.3 Forward- ad Reverse-biased juctios; steady state coditios 5.3.1 Qualitative descritio

More information

Chapter 2 Motion and Recombination of Electrons and Holes

Chapter 2 Motion and Recombination of Electrons and Holes Chapter 2 Motio ad Recombiatio of Electros ad Holes 2.1 Thermal Motio 3 1 2 Average electro or hole kietic eergy kt mv th 2 2 v th 3kT m eff 23 3 1.38 10 JK 0.26 9.1 10 1 31 300 kg K 5 7 2.310 m/s 2.310

More information

Introduction to Semiconductor Devices and Circuit Model

Introduction to Semiconductor Devices and Circuit Model Itroductio to Semicoductor Devices ad Circuit Model Readig: Chater 2 of Howe ad Sodii Electrical Resistace I + V _ W homogeeous samle t L Resistace R V I L = ρ Wt (Uits: Ω) where ρ is the resistivity (Uits:

More information

Chapter 2 Motion and Recombination of Electrons and Holes

Chapter 2 Motion and Recombination of Electrons and Holes Chapter 2 Motio ad Recombiatio of Electros ad Holes 2.1 Thermal Eergy ad Thermal Velocity Average electro or hole kietic eergy 3 2 kt 1 2 2 mv th v th 3kT m eff 3 23 1.38 10 JK 0.26 9.1 10 1 31 300 kg

More information

Heterojunctions. Heterojunctions

Heterojunctions. Heterojunctions Heterojuctios Heterojuctios Heterojuctio biolar trasistor SiGe GaAs 4 96, 007-008, Ch. 9 3 Defiitios eφ s eχ s lemet Ge, germaium lectro affiity, χ (ev) 4.13 Si, silico 4.01 GaAs, gallium arseide 4.07

More information

Lecture 9. NMOS Field Effect Transistor (NMOSFET or NFET)

Lecture 9. NMOS Field Effect Transistor (NMOSFET or NFET) ecture 9 MOS Field ffect Trasistor (MOSFT or FT) this lecture you will lear: The oeratio ad workig of the MOS trasistor A MOS aacitor with a hael otact ( Si) metal cotact Si Si GB B versio layer PSi substrate

More information

Parasitic Resistance L R W. Polysilicon gate. Drain. contact L D. V GS,eff R S R D. Drain

Parasitic Resistance L R W. Polysilicon gate. Drain. contact L D. V GS,eff R S R D. Drain Parasitic Resistace G Polysilico gate rai cotact V GS,eff S R S R S, R S, R + R C rai Short Chael Effects Chael-egth Modulatio Equatio k ( V V ) GS T suggests that the trasistor i the saturatio mode acts

More information

Regenerative Property

Regenerative Property DESIGN OF LOGIC FAMILIES Some desirable characteristics to have: 1. Low ower dissiatio. High oise margi (Equal high ad low margis) 3. High seed 4. Low area 5. Low outut resistace 6. High iut resistace

More information

SOLUTIONS: ECE 606 Homework Week 7 Mark Lundstrom Purdue University (revised 3/27/13) e E i E T

SOLUTIONS: ECE 606 Homework Week 7 Mark Lundstrom Purdue University (revised 3/27/13) e E i E T SOUIONS: ECE 606 Homework Week 7 Mark udstrom Purdue Uiversity (revised 3/27/13) 1) Cosider a - type semicoductor for which the oly states i the badgap are door levels (i.e. ( E = E D ). Begi with the

More information

Solar Photovoltaic Technologies

Solar Photovoltaic Technologies Solar Photovoltaic Techologies ecture-17 Prof. C.S. Solaki Eergy Systems Egieerig T Bombay ecture-17 Cotets Brief summary of the revious lecture Total curret i diode: Quatitative aalysis Carrier flow uder

More information

Digital Integrated Circuits. Inverter. YuZhuo Fu. Digital IC. Introduction

Digital Integrated Circuits. Inverter. YuZhuo Fu. Digital IC. Introduction Digital Itegrated Circuits Iverter YuZhuo Fu Itroductio outlie CMOS at a glace CMOS static behavior CMOS dyamic behavior Power, Eergy, ad Eergy Delay Persective tech. /48 outlie CMOS at a glace CMOS static

More information

The aim of the course is to give an introduction to semiconductor device physics. The syllabus for the course is:

The aim of the course is to give an introduction to semiconductor device physics. The syllabus for the course is: Semicoductor evices Prof. Rb Robert tat A. Taylor The aim of the course is to give a itroductio to semicoductor device physics. The syllabus for the course is: Simple treatmet of p- juctio, p- ad p-i-

More information

Diode in electronic circuits. (+) (-) i D

Diode in electronic circuits. (+) (-) i D iode i electroic circuits Symbolic reresetatio of a iode i circuits ode Cathode () (-) i ideal diode coducts the curret oly i oe directio rrow shows directio of the curret i circuit Positive olarity of

More information

Digital Integrated Circuits

Digital Integrated Circuits Digital Itegrated Circuits YuZhuo Fu cotact:fuyuzhuo@ic.sjtu.edu.c Office locatio:417 room WeiDiaZi buildig,no 800 DogChua road,mihag Camus Itroductio outlie CMOS at a glace CMOS static behavior CMOS dyamic

More information

Summary of pn-junction (Lec )

Summary of pn-junction (Lec ) Lecture #12 OUTLNE Diode aalysis ad applicatios cotiued The MOFET The MOFET as a cotrolled resistor Pich-off ad curret saturatio Chael-legth modulatio Velocity saturatio i a short-chael MOFET Readig Howe

More information

Monograph On Semi Conductor Diodes

Monograph On Semi Conductor Diodes ISSN (ONLINE) : 395-695X ISSN (PRINT) : 395-695X Available olie at www.ijarbest.com Iteratioal Joural of Advaced Research i Biology, Ecology, Sciece ad Techology (IJARBEST) Vol. 1, Issue 3, Jue 015 Moograh

More information

YuZhuo Fu Office location:417 room WeiDianZi building,no 800 DongChuan road,minhang Campus

YuZhuo Fu Office location:417 room WeiDianZi building,no 800 DongChuan road,minhang Campus Digital Itegrated Circuits YuZhuo Fu cotact:fuyuzhuo@ic.sjtu.edu.c Office locatio:417 room WeiDiaZi buildig,no 800 DogChua road,mihag Camus Itroductio Digital IC outlie CMOS at a glace CMOS static behavior

More information

Lecture 10: P-N Diodes. Announcements

Lecture 10: P-N Diodes. Announcements EECS 15 Sprig 4, Lecture 1 Lecture 1: P-N Diodes EECS 15 Sprig 4, Lecture 1 Aoucemets The Thursday lab sectio will be moved a hour later startig this week, so that the TA s ca atted lecture i aother class

More information

Semiconductor Electronic Devices

Semiconductor Electronic Devices Semicoductor lectroic evices Course Codes: 3 (UG) 818 (PG) Lecturer: Professor thoy O eill mail: athoy.oeill@cl.ac.uk ddress: 4.31, Merz Court ims: To provide a specialist kowledge of semicoductor devices.

More information

Hole Drift Mobility, Hall Coefficient and Coefficient of Transverse Magnetoresistance in Heavily Doped p-type Silicon

Hole Drift Mobility, Hall Coefficient and Coefficient of Transverse Magnetoresistance in Heavily Doped p-type Silicon Iteratioal Joural of Pure ad Alied Physics ISSN 973-776 Volume 6 Number (). 9 Research Idia Publicatios htt://www.riublicatio.com/ija.htm Hole Drift Mobility Hall Coefficiet ad Coefficiet of rasverse Magetoresistace

More information

Introduction to Solid State Physics

Introduction to Solid State Physics Itroductio to Solid State Physics Class: Itegrated Photoic Devices Time: Fri. 8:00am ~ 11:00am. Classroom: 資電 206 Lecturer: Prof. 李明昌 (Mig-Chag Lee) Electros i A Atom Electros i A Atom Electros i Two atoms

More information

Bipolar Junction Transistors

Bipolar Junction Transistors ipolar Juctio Trasistors ipolar juctio trasistor (JT) was iveted i 948 at ell Telephoe Laboratories Sice 97, the high desity ad low power advatage of the MOS techology steadily eroded the JT s early domiace.

More information

EECS130 Integrated Circuit Devices

EECS130 Integrated Circuit Devices EECS130 Itegrated Circuit Devices Professor Ali Javey 9/04/2007 Semicoductor Fudametals Lecture 3 Readig: fiish chapter 2 ad begi chapter 3 Aoucemets HW 1 is due ext Tuesday, at the begiig of the class.

More information

ECE 442. Spring, Lecture - 4

ECE 442. Spring, Lecture - 4 ECE 44 Power Semicoductor Devices ad Itegrated circuits Srig, 6 Uiversity of Illiois at Chicago Lecture - 4 ecombiatio, geeratio, ad cotiuity equatio 1. Geeratio thermal, electrical, otical. ecombiatio

More information

Complementi di Fisica Lecture 24

Complementi di Fisica Lecture 24 Comlemeti di Fisica - Lecture 24 18-11-2015 Comlemeti di Fisica Lecture 24 Livio Laceri Uiversità di Trieste Trieste, 18-11-2015 I this lecture Cotets Drift of electros ad holes i ractice (umbers ): coductivity

More information

Digital Integrated Circuit Design

Digital Integrated Circuit Design Digital Itegrated Circuit Desig Lecture 4 PN Juctio -tye -tye Adib Abrishamifar EE Deartmet IUST Diffusio (Majority Carriers) Cotets PN Juctio Overview PN Juctios i Equilibrium Forward-biased PN Juctios

More information

MOSFET IC 3 V DD 2. Review of Lecture 1. Transistor functions: switching and modulation.

MOSFET IC 3 V DD 2. Review of Lecture 1. Transistor functions: switching and modulation. Review of Lecture Lecture / Trasistor fuctios: switchig ad modulatio. MOSFT 3 Si I 3 DD How voltage alied to Gate cotrols curret betwee Source ad Drai? 3 Source Gate Drai 3 oltage? urret? -Si Al -Si -Si*

More information

KJ 8056 CHAPTER 1. ELECTROCHEMICAL SENSORS. Part B. Semiconductor devices as chemical sensors

KJ 8056 CHAPTER 1. ELECTROCHEMICAL SENSORS. Part B. Semiconductor devices as chemical sensors NTNUet. of Chemistry KJ 8056 CHAPTER 1. ELECTROCHEMICAL SENSORS Part B. Semicoductor devices as chemical sesors CONTENTS By F. G. Baica, August 2006 B.1. Semicoductors devices a) Silico ad Germaium semicoductors

More information

Lecture 2. Dopant Compensation

Lecture 2. Dopant Compensation Lecture 2 OUTLINE Bac Semicoductor Phycs (cot d) (cotd) Carrier ad uo PN uctio iodes Electrostatics Caacitace Readig: Chater 2.1 2.2 EE105 Srig 2008 Lecture 1, 2, Slide 1 Prof. Wu, UC Berkeley oat Comesatio

More information

Lecture 9: Diffusion, Electrostatics review, and Capacitors. Context

Lecture 9: Diffusion, Electrostatics review, and Capacitors. Context EECS 5 Sprig 4, Lecture 9 Lecture 9: Diffusio, Electrostatics review, ad Capacitors EECS 5 Sprig 4, Lecture 9 Cotext I the last lecture, we looked at the carriers i a eutral semicoductor, ad drift currets

More information

EE105 - Fall 2006 Microelectronic Devices and Circuits

EE105 - Fall 2006 Microelectronic Devices and Circuits EE105 - Fall 006 Microelectroic Devices ad Circuits Prof. Ja M. Rabaey (ja@eecs) Lecture 3: Semicoductor Basics (ctd) Semicoductor Maufacturig Overview Last lecture Carrier velocity ad mobility Drift currets

More information

Solid State Device Fundamentals

Solid State Device Fundamentals Solid State Device Fudametals ENS 345 Lecture Course by Alexader M. Zaitsev alexader.zaitsev@csi.cuy.edu Tel: 718 982 2812 4N101b 1 Thermal motio of electros Average kietic eergy of electro or hole (thermal

More information

Intrinsic Carrier Concentration

Intrinsic Carrier Concentration Itrisic Carrier Cocetratio I. Defiitio Itrisic semicoductor: A semicoductor material with o dopats. It electrical characteristics such as cocetratio of charge carriers, deped oly o pure crystal. II. To

More information

IV. COMPARISON of CHARGE-CARRIER POPULATION at EACH SIDE of the JUNCTION V. FORWARD BIAS, REVERSE BIAS

IV. COMPARISON of CHARGE-CARRIER POPULATION at EACH SIDE of the JUNCTION V. FORWARD BIAS, REVERSE BIAS Fall-2003 PH-31 A. La Rosa JUNCTIONS I. HARNESSING ELECTRICAL CONDUCTIVITY IN SEMICONDUCTOR MATERIALS Itrisic coductivity (Pure silico) Extrisic coductivity (Silico doed with selected differet atoms) II.

More information

Temperature-Dependent Kink Effect Model for Partially-Depleted SOI NMOS Devices

Temperature-Dependent Kink Effect Model for Partially-Depleted SOI NMOS Devices 254 IEEE RANSACIONS ON ELECRON DEVICES, VOL. 46, NO. 1, JANUARY 1999 emperature-depedet Kik Effect Model for Partially-Depleted SOI NMOS Devices S. C. Li ad J. B. Kuo Abstract his paper reports a closed-form

More information

Semiconductors a brief introduction

Semiconductors a brief introduction Semicoductors a brief itroductio Bad structure from atom to crystal Fermi level carrier cocetratio Dopig Readig: (Sedra/Smith 7 th editio) 1.7-1.9 Trasport (drift-diffusio) Hyperphysics (lik o course homepage)

More information

Lecture #25. Amplifier Types

Lecture #25. Amplifier Types ecture #5 Midterm # formatio ate: Moday November 3 rd oics to be covered: caacitors ad iductors 1 st -order circuits (trasiet resose) semicoductor material roerties juctios & their alicatios MOSFEs; commo-source

More information

The Bipolar Transistor

The Bipolar Transistor hater 2 The Biolar Trasistor hater 2 The Biolar Trasistor Bardee, Brattai ad Shockley develoed the Biolar Juctio Trasistor i 1947 at Bell Laboratories [1]. These researchers oticed that i certai exerimetal

More information

Forward and Reverse Biased Junctions

Forward and Reverse Biased Junctions TEMARIO DEL CURSO DE FUNDAMENTOS DE FÍSICA DE SEMICONDUCTORES 1. Itroducció a Física Electróica 1.1 Proiedades de cristales y crecimieto de semicoductores 1. Átomos y electroes 1.3 Badas de eergía y ortadores

More information

Lecture 5: HBT DC Properties. Basic operation of a (Heterojunction) Bipolar Transistor

Lecture 5: HBT DC Properties. Basic operation of a (Heterojunction) Bipolar Transistor Lecture 5: HT C Properties asic operatio of a (Heterojuctio) ipolar Trasistor Abrupt ad graded juctios ase curret compoets Quasi-Electric Field Readig Guide: 143-16: 17-177 1 P p ++.53 Ga.47 As.53 Ga.47

More information

Digital Integrated Circuits

Digital Integrated Circuits Digital Itegrated Circuits YuZhuo Fu cotact:fuyuzhuo@ic.sjtu.edu.c Office locatio:417 room WeiDiaZi buildig,no 800 DogChua road,mihag Camus Itroductio Review cotet Tye Cocet 15, Comutig 10 hours Fri. 6

More information

Photodiodes. 1. Current and Voltage in an Illuminated Junction 2. Solar Cells

Photodiodes. 1. Current and Voltage in an Illuminated Junction 2. Solar Cells Photodiodes 1. Curret ad Voltae i a llumiated Juctio 2. olar Cells Diode Equatio D (e.) ( e qv / kt 1) V D o ( e qv / kt 1) Particle Flow uder Reversed Bias Particle Flow uder llumiatio W -tye -tye Otical

More information

Schottky diodes: I-V characteristics

Schottky diodes: I-V characteristics chottky diodes: - characteristics The geeral shape of the - curve i the M (-type) diode are very similar to that i the p + diode. However the domiat curret compoets are decidedly differet i the two diodes.

More information

ln(i G ) 26.1 Review 26.2 Statistics of multiple breakdowns M Rows HBD SBD N Atoms Time

ln(i G ) 26.1 Review 26.2 Statistics of multiple breakdowns M Rows HBD SBD N Atoms Time EE650R: Reliability Physics of Naoelectroic Devices Lecture 26: TDDB: Statistics of Multiple Breadows Date: Nov 17, 2006 ClassNotes: Jaydeep P. Kulari Review: Pradeep R. Nair 26.1 Review I the last class

More information

2.CMOS Transistor Theory

2.CMOS Transistor Theory CMOS LSI esig.cmos rasistor heory Fu yuzhuo School of microelectroics,sju Itroductio omar fadhil,baghdad outlie PN juctio priciple CMOS trasistor itroductio Ideal I- characteristics uder static coditios

More information

FYS Vår 2016 (Kondenserte fasers fysikk)

FYS Vår 2016 (Kondenserte fasers fysikk) FYS3410 - Vår 2016 (Kodeserte fasers fysikk) http://www.uio.o/studier/emer/matat/fys/fys3410/v16/idex.html Pesum: Itroductio to Solid State Physics by Charles Kittel (Chapters 1-9 ad 17, 18, 20) Adrej

More information

Basic Concepts of Electricity. n Force on positive charge is in direction of electric field, negative is opposite

Basic Concepts of Electricity. n Force on positive charge is in direction of electric field, negative is opposite Basic Cocepts of Electricity oltage E Curret I Ohm s Law Resistace R E = I R 1 Electric Fields A electric field applies a force to a charge Force o positive charge is i directio of electric field, egative

More information

UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences

UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences UNIVERSITY OF ALIFORNIA, BERELEY ollege of Egieerig Deartmet of Electrical Egieerig ad omuter Scieces Ja M. Rabaey Homework #5 EES 4 SP0) [PROBLEM Elmore Delay 30ts) Due Friday, March 5, 5m, box i 40 ory

More information

Layer or Strip Resistance Measurement by Electron Beam Induced Current Technique in a Scanning Electron Microscope

Layer or Strip Resistance Measurement by Electron Beam Induced Current Technique in a Scanning Electron Microscope Materials Trasactios, Vol. 48, No. 5 (7). 949 to 953 Secial Issue o New Develomets ad alysis for Fabricatio of Fuctioal Naostructures #7 The Jaa Istitute of Metals Layer or Stri Resistace Measuremet by

More information

Nanomaterials for Photovoltaics (v11) 6. Homojunctions

Nanomaterials for Photovoltaics (v11) 6. Homojunctions Naomaterials for Photovoltaics (v11) 1 6. Homojuctios / juctio diode The most imortat device cocet for the coversio of light ito electrical curret is the / juctio diode. We first cosider isolated ad regios

More information

Numerical Solution of Hydrodynamic Semiconductor Device Equations Employing a Stabilized Adaptive Computational Technique

Numerical Solution of Hydrodynamic Semiconductor Device Equations Employing a Stabilized Adaptive Computational Technique Numerical Solutio of Hydrodyamic Semicoductor Device Equatios Emloyig a Stabilied Adative Comutatioal Techique YIMING LI * ad CHUAN-SHENG WANG a Natioal Nao Device Laboratories, ad Microelectroics ad Iformatio

More information

Diagnosis of Kinematic Vertical Velocity in HYCOM. By George Halliwell, 28 November ( ) = z. v (1)

Diagnosis of Kinematic Vertical Velocity in HYCOM. By George Halliwell, 28 November ( ) = z. v (1) Diagosis of Kiematic Vertical Velocity i HYCOM By George Halliwell 28 ovember 2004 Overview The vertical velocity w i Cartesia coordiates is determied by vertically itegratig the cotiuity equatio dw (

More information

Complementi di Fisica Lectures 25-26

Complementi di Fisica Lectures 25-26 Comlemeti di Fisica Lectures 25-26 Livio Laceri Uiversità di Trieste Trieste, 14/15-12-2015 i these lectures Itroductio No or quasi-equilibrium: excess carriers ijectio Processes for geeratio ad recombiatio

More information

ECE606: Solid State Devices Lecture 14 Electrostatics of p-n junctions

ECE606: Solid State Devices Lecture 14 Electrostatics of p-n junctions ECE606: Solid State evices Lecture 14 Electrostatics of - juctios Gerhard Klimeck gekco@urdue.edu Outlie 1) Itroductio to - juctios ) rawig bad-diagrams 3) ccurate solutio i equilibrium 4) Bad-diagram

More information

ELECTRONICS AND COMMUNICATION ENGINEERING ESE TOPICWISE OBJECTIVE SOLVED PAPER-I

ELECTRONICS AND COMMUNICATION ENGINEERING ESE TOPICWISE OBJECTIVE SOLVED PAPER-I ELECTRONICS AND COMMUNICATION ENGINEERING ESE TOPICWISE OBJECTIVE SOLVED PAPER-I From (1991 018) Office : F-16, (Lower Basemet), Katwaria Sarai, New Delhi-110016 Phoe : 011-65064 Mobile : 81309090, 9711853908

More information

Hybridized Heredity In Support Vector Machine

Hybridized Heredity In Support Vector Machine Hybridized Heredity I Suort Vector Machie May 2015 Hybridized Heredity I Suort Vector Machie Timothy Idowu Yougmi Park Uiversity of Wiscosi-Madiso idowu@stat.wisc.edu yougmi@stat.wisc.edu May 2015 Abstract

More information

Minimum Source/Drain Area AS,AD = (0.48µm)(0.60µm) - (0.12µm)(0.12µm) = µm 2

Minimum Source/Drain Area AS,AD = (0.48µm)(0.60µm) - (0.12µm)(0.12µm) = µm 2 UNIERSITY OF CALIFORNIA College of Egieerig Departmet of Electrical Egieerig ad Computer Scieces Last modified o February 1 st, 005 by Chris Baer (crbaer@eecs Adrei ladimirescu Homewor #3 EECS141 Due Friday,

More information

EXPERIMENTING WITH MAPLE TO OBTAIN SUMS OF BESSEL SERIES

EXPERIMENTING WITH MAPLE TO OBTAIN SUMS OF BESSEL SERIES EXPERIMENTING WITH MAPLE TO OBTAIN SUMS OF BESSEL SERIES Walter R Bloom Murdoch Uiversity Perth, Wester Australia Email: bloom@murdoch.edu.au Abstract I the study of ulse-width modulatio withi electrical

More information

Effect of Charge Mobility on Electric Conduction Driven Dielectric Liquid Flow

Effect of Charge Mobility on Electric Conduction Driven Dielectric Liquid Flow CONF. PRESENTATION SESSION : PARTICLES IN FLOWS & FLOW ELECTRIFICATION Effect of Charge Mobility o Electric Coductio Drive Dielectric Liquid Flow Miad Yazdai ad Jamal Seyed-Yagoobi, Seior Member, IEEE

More information

Theoretical models and simulation of optoelectronic properties of a-si-h PIN photosensors

Theoretical models and simulation of optoelectronic properties of a-si-h PIN photosensors Proceedigs of the 8th Iteratioal Coferece o Sesig Techology, Se. 2-4, 214, iverool, UK Theoretical models ad simulatio of otoelectroic roerties of a-si-h PIN hotosesors Wagah F. Mohammed 1, Muther N. Al-Tikriti

More information

Two arbitrary semiconductors generally have different electron affinities, bandgaps, and effective DOSs. An arbitrary example is shown below.

Two arbitrary semiconductors generally have different electron affinities, bandgaps, and effective DOSs. An arbitrary example is shown below. 9. Heterojuctios Semicoductor heterojuctios A heterojuctio cosists of two differet materials i electrical equilibrium separated by a iterface. There are various reasos these are eeded for solar cells:

More information

Metal Gate. Insulator Semiconductor

Metal Gate. Insulator Semiconductor MO Capacitor MO Metal- Oxide- emicoductor MO actually refers to Metal ilico Diide ilico Other material systems have similar MI structures formed by Metal Isulator emicoductor The capacitor itself forms

More information

p/n junction Isolated p, n regions: no electric contact, not in equilibrium E vac E i E A E F E V E C E D

p/n junction Isolated p, n regions: no electric contact, not in equilibrium E vac E i E A E F E V E C E D / juctio Isolated, regios: o electric cotact, ot i equilibrium E vac E C E C E E F E i E i E F E E V E V / juctio I equilibrium, the Fermi level must be costat. Shift the eergy levels i ad regios u/dow

More information

Excess carrier behavior in semiconductor devices

Excess carrier behavior in semiconductor devices Ecess carrier behavior i semicoductor devices Virtually all semicoductor devices i active mode ivolve the geeratio, decay, or movemet of carriers from oe regio to aother Carrier oulatio (, ) that is differet

More information

Doped semiconductors: donor impurities

Doped semiconductors: donor impurities Doped semicoductors: door impurities A silico lattice with a sigle impurity atom (Phosphorus, P) added. As compared to Si, the Phosphorus has oe extra valece electro which, after all bods are made, has

More information

ECEN Microelectronics. Semiconductor Physics and P/N junctions 2/05/19

ECEN Microelectronics. Semiconductor Physics and P/N junctions 2/05/19 ECEN 3250 Microelectroics Semicoductor Physics ad P/N juctios 2/05/19 Professor J. Gopiath Professor J. Gopiath Uiversity of Colorado at Boulder Microelectroics Sprig 2014 Overview Eergy bads Atomic eergy

More information

Songklanakarin Journal of Science and Technology SJST R1 Teerapabolarn

Songklanakarin Journal of Science and Technology SJST R1 Teerapabolarn Soglaaari Joural of Sciece ad Techology SJST--.R Teeraabolar A No-uiform Boud o Biomial Aroimatio to the Beta Biomial Cumulative Distributio Fuctio Joural: Soglaaari Joural of Sciece ad Techology For Review

More information

Key Questions. ECE 340 Lecture 36 : MOSFET II 4/28/14

Key Questions. ECE 340 Lecture 36 : MOSFET II 4/28/14 Thigs you should kow whe you leae C 40 Lecture 6 : MOSFT Class Outlie: Short Chael ffects Key Questios Why is the mobility i the chael lower tha i the bulk? Why do strog electric fields degrade chael mobility?

More information

ECE606: Solid State Devices Lecture 9 Recombination Processes and Rates

ECE606: Solid State Devices Lecture 9 Recombination Processes and Rates ECE606: Solid State Devices Lecture 9 Recombiatio Processes ad Rates Gerhard Klimeck gekco@urdue.edu Outlie ) No-equilibrium systems ) Recombiatio geeratio evets 3) Steady-state ad trasiet resose ) Motivatio

More information

Electrical conductivity in solids. Electronics and Microelectronics AE4B34EM. Splitting of discrete levels (Si) Covalent bond. Chemical Atomic bonds

Electrical conductivity in solids. Electronics and Microelectronics AE4B34EM. Splitting of discrete levels (Si) Covalent bond. Chemical Atomic bonds Electrical coductivity i solids Eergy bad structure lico atoms (the most commo semicoductor material) Electroics ad Microelectroics AE4B34EM 3. lecture Semicoductors N juctio Diodes Electros otetial eergy

More information

EE415/515 Fundamentals of Semiconductor Devices Fall 2012

EE415/515 Fundamentals of Semiconductor Devices Fall 2012 11/18/1 EE415/515 Fudametals of Semicoductor Devices Fall 1 ecture 16: PVs, PDs, & EDs Chater 14.1-14.6 Photo absortio Trasaret or oaque Photo eergy relatioshis c hc 1.4 m E E E i ev 11/18/1 ECE 415/515

More information

Electrical Resistance

Electrical Resistance Electrical Resistace I + V _ W Material with resistivity ρ t L Resistace R V I = L ρ Wt (Uit: ohms) where ρ is the electrical resistivity Addig parts/billio to parts/thousad of dopats to pure Si ca chage

More information

NUMERICAL SIMUALTION OF NANOSCALE

NUMERICAL SIMUALTION OF NANOSCALE NUMERICAL SIMUALTION OF NANOSCALE SEMICONUCTOR EVICES Rolad STENZEL, Wilfried KLIX eartmet of Electrical Egieerig Uiversity of Alied Scieces resde Friedrich-List-Platz 1, -169 resde Ja HÖNTSCHEL AM Saxoy

More information

Photo-Voltaics and Solar Cells. Photo-Voltaic Cells

Photo-Voltaics and Solar Cells. Photo-Voltaic Cells Photo-Voltaics ad Solar Cells this lecture you will lear: Photo-Voltaic Cells Carrier Trasort, Curret, ad Efficiecy Solar Cells Practical Photo-Voltaics ad Solar Cells ECE 407 Srig 009 Farha aa Corell

More information

Large Signal Analysis of Low-Voltage BiMOS Analog Multipliers Using Fourier-Series Approximations

Large Signal Analysis of Low-Voltage BiMOS Analog Multipliers Using Fourier-Series Approximations Proc. atl. Sci. Couc. ROC(A) Vol. 4, o. 6, 000.. 480-488 (Short Commuicatio) Large Sigal Aalysis of Low-Voltage BiOS Aalog ultiliers Usig Fourier-Series Aroximatios UHAAD TAHER ABUELA ATTI ig Fahd Uiversity

More information

arxiv:cond-mat/ Jan 2001

arxiv:cond-mat/ Jan 2001 The Physics of Electric Field Effect Thermoelectric Devices V. adomirsy, A. V. Buteo, R. Levi 1 ad Y. chlesiger Deartmet of Physics, Bar-Ila Uiversity, Ramat-Ga 5900, Israel 1 The College of Judea & amaria,

More information

Electronics and Semiconductors

Electronics and Semiconductors Electroics ad Semicoductors Read Chater 1 Sectio 1.7-1.12 Sedra/Smith s Microelectroic Circuits Chig-Yua Yag atioal Chug Hsig Uiversity eartmet of Electrical Egieerig Electroic Circuits ( 一 ) Prof. Chig-Yua

More information

Proposal of a New High Power Insulated Gate Bipolar Transistor

Proposal of a New High Power Insulated Gate Bipolar Transistor Special Issue Recent R&D Activities of Power Devices for Hybrid Electric Vehicles 7 Research Report Proposal of a New High Power Insulated Gate Bipolar Transistor Sachiko Kawaji, Masayasu Ishiko, Katsuhiko

More information

ELECTRICAL PROPEORTIES OF SOLIDS

ELECTRICAL PROPEORTIES OF SOLIDS DO PHYSICS ONLINE ELECTRICAL PROPEORTIES OF SOLIDS ATOMIC STRUCTURE ucleus: rotos () & electros electros (-): electro cloud h h DE BROGLIE wave model of articles mv ELECTRONS IN ATOMS eergy levels i atoms

More information

Recombination on Locally Processed Wafer Surfaces

Recombination on Locally Processed Wafer Surfaces Vailable olie at www.sciecedirect.com Eergy Procedia 27 (2012 ) 259 266 SilicoPV: 17-20 April 2011, Freiburg, Germay Recombiatio o Locally Processed Wafer Surfaces P. Sait-Cast *, J. Nekarda, M. Hofma,

More information

MORE TUTORIALS FOR VERILOG DIGITAL ELECTRONICS SYSTEM DESIGN HOMEWORK ASSIGNMENTS DATASHEETS FOR PARTS 10/3/2018

MORE TUTORIALS FOR VERILOG DIGITAL ELECTRONICS SYSTEM DESIGN HOMEWORK ASSIGNMENTS DATASHEETS FOR PARTS 10/3/2018 //8 DIGITA EECTRONICS SYSTEM DESIGN FA 8 PROFS. IRIS BAHAR & ROD BERESFORD OCTOBER, 8 ECTURE 9: CMOS TRANSIENT BEHAIOR MORE TUTORIAS FOR ERIOG O the course website you ca fid some useful liks to additioal

More information

ECE606: Solid State Devices Lecture 19 Bipolar Transistors Design

ECE606: Solid State Devices Lecture 19 Bipolar Transistors Design 606: Solid State Devices Lecture 9 ipolar Trasistors Desig Gerhard Klimeck gekco@purdue.edu Outlie ) urret gai i JTs ) osideratios for base dopig 3) osideratios for collector dopig 4) termediate Summary

More information

Compact Modeling of Noise in the MOS Transistor

Compact Modeling of Noise in the MOS Transistor Compact Modelig of Noise i the MOS Trasistor Aada Roy, Christia Ez, ) Swiss Federal Istitute of Techology, ausae (EPF), Switzerlad ) Swiss Ceter for Electroics ad Microtechology (CSEM) Neuchâtel, Swtzerlad

More information

EE3310 Class notes Part 3. Solid State Electronic Devices - EE3310 Class notes Transistors

EE3310 Class notes Part 3. Solid State Electronic Devices - EE3310 Class notes Transistors EE3310 Class otes Part 3 Versio: Fall 2002 These class otes were origially based o the hadwritte otes of Larry Overzet. It is expected that they will be modified (improved?) as time goes o. This versio

More information

A Multi-Fork Z-Axis Quartz Micromachined Gyroscope

A Multi-Fork Z-Axis Quartz Micromachined Gyroscope Sesors 03, 3, 48-496; doi:0.3390/s30948 Article OPEN ACCESS sesors ISSN 44-80 www.mdpi.com/joural/sesors A Multi-Fork Z-Axis Quartz Micromachied Gyroscope Lihui Feg *, Ke Zhao, Yua Su, Jiami Cui, Fag Cui

More information