digital integrated circuits adapted from ucb-ee141 copyright 1996 ucb. devices פרופ’ יוסי...

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Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

פרופ’ יוסי שחם

המחלקה לאלקטרוניקה פיזיקלית

אוניברסיטת תל-אביב

)לפי ההרצאות של יאן ראבאי מברקלי(

MOSהתקני

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

מטרת הפרק

הבנה בסיסית של התקני מל”מ •רלבנטים

חזרה על המשוואות הבסיסיות•

פתרון “ידני” של מעגלים•

SPICEמבוא ל- •

מבוא להתקנים תת-מיקרונים•

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

דיודה

n

p

p

n

B A SiO2Al

A

B

Al

A

B

סמל

VLSIחתך בדיודת צומת ב

חתך חד ממדי

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

אזור המיחסור

hole diffusionelectron diffusion

p n

hole driftelectron drift

ChargeDensity

Distancex+

-

ElectricalxField

x

PotentialV

W2-W1

)a( Current flow.

)b( Charge density.

)c( Electric field.

)d( Electrostaticpotential.

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

זרם

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

ממתח קדמי

x

pn0

np0

-W1 W20

p n)W

2(

n-regionp-region

Lp

diffusion

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

ממתח אחורי

x

pn0

np0

-W1 W20n-regionp-region

diffusion

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

סוגי דיודות

x

x

pn0

pn0

Wn

pn(x)

pn(x)

Wn

Short-base Diode

Long-base Diode

(standard in semiconductordevices)

דיודה קצרה

ליד מגע מתכת

דיודה ארוכה

טיפוסית לדיותות למצע

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

מודל דיודה

VD

ID = IS(eVD/T – 1)+

VD

+

+

–VDon

ID

(a) Ideal diode model (b) First-order diode model

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

קיבול צומת

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

קיבול הדיפוזיה

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

מיתוג דיודה

Vsrc

t = 0

V1

V2

VD

Rsrc

t = T

ID

Time

VD

ON OFF ON

Space chargeExcess charge

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

פריצה

–25.0 –15.0 –5.0 5.0

VD (V)

–0.1

I D (A

)0.1

0

0

Avalanche Breakdown

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

מודל דיודה - מלא

ID

RS

CD

+

-

VD

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

SPICEפרמטרי

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

MOSטרנזיסטור

n+n+

p-substrate

Field-Oxyde

)SiO2(

p+ stopper

Polysilicon

Gate Oxyde

DrainSource

Gate

Bulk Contact

CROSS-SECTION of NMOS Transistor

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

MOSטרנזיסטור

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

CMOSחתך בטכנולוגית

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

סימנים וסמלים של טרנזיטורי MOS

D

S

G

D

S

G

G

S

D D

S

G

NMOS Enhancement NMOS

PMOS

Depletion

Enhancement

B

NMOS withBulk Contact

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

מתח סף - עקרון בסיסי

n+n+

p-substrate

DSG

B

VGS

+

-

Depletion

Region

n-channel

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

מתח סף - חישוב

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

אפייני מתח זרם

n+n+

p-substrate

D

SG

B

VGS

xL

V(x) +–

VDS

ID

MOS transistor and its bias conditions

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

אפייני מתח-זרם בתחום הלינארי וברוויה

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

טרנזיסטור ברוויה

n+n+

S

G

VGS

D

VDS > VGS - VT

VGS - VT+-

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

אפיין מתח-זרם

0.0 1.0 2.0 3.0 4.0 5.0

VDS (V)

1

2

I D (

mA

)

0.0 1.0 2.0 3.0VGS (V)

0.010

0.020

÷ I

D

VT

SubthresholdCurrent

Triode Saturation

VGS = 5V

VGS = 3V

VGS = 4V

VGS = 2V

VGS = 1V

(a) ID as a function of VDS (b) ID as a function of VGS

(for VDS = 5V).

Sq

ua

re D

ep

end

en

ce

VDS = VGS-VT

NMOS Enhancement Transistor: W = 100 m, L = 20 m

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

מודל לחישוב “ידני”

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

MOSמודל דינמי של טרנזיסטור

DS

G

B

CGDCGS

CSB CDBCGB

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

קיבול השער

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

קיבול שער ממוצע

Most important regions in digital design: saturation and cut-off

Different distributions of gate capacitance for varying

operating conditions

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

קיבול הדיפוזיה

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

קיבול הצמתות

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

לינאריזציה של קיבול הצומת

Replace non-linear capacitance bylarge-signal equivalent linear capacitance

which displaces equal charge over voltage swing of interest

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

תת-מיקרוני MOSמודל של טרנסיטור

חישוב מתח סף מתוקן•

התנגדויות פרזיטיות•

רווית מהירות וירידת ניידות•

הולכה בתת-סף•

• LATHCUP

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

אפקטים של תעלה קצרה

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

מודלים של תעלה קצרה

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

MOSחיבורי התקני

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

שינויי מתח הסף

VT

L

Long-channel threshold Low VDS threshold

Threshold as a function of the length (for low VDS)

Drain-induced barrier lowering (for low L)

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

התנגדויות פרזיטיות

W

LD

Drain

Draincontact

Polysilicon gate

DS

G

RS RD

VGS,eff

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

רווית מהירות )א(

EV/m(Esat

n )c

m/s

ec(

sat = 107

Constant mobility )slope = (

constant velocity

EtV/m(

n )c

m2 /V

s(

n0

)b( Mobility degradation)a( Velocity saturation

0

700

250

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

רווית מהירות )ב(

VDS (V)

I D (

mA

)

Lin

ea

r D

ep

en

de

nc

e

VGS = 5

VGS = 4

VGS = 3

VGS = 2

VGS = 1

0.0 1.0 2.0 3.0 4.0 5.0

0.5

1.0

1.5

(a) ID as a function of VDS (b) ID as a function of VGS(for VDS = 5 V).

0.0 1.0 2.0 3.0VGS (V)

0

0.5

I D (

mA

)

Linear Dependence on VGS

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

הולכה בתת-סף

0.0 1.0 2.0 3.0VGS (V)

10 12

10 10

10 8

10 6

10 4

10 2

ln(I

D)

(A)

Subthreshold exponential region

Linear region

VT

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

Latchup

)a( Origin of latchup )b( Equivalent circuit

VDD

Rpsubs

Rnwell p-source

n-source

n+ n+p+ p+ p+ n+

p-substrateRpsubs

Rnwell

VDD

n-well

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

SPICEמודלים של

- התקנים ארוכים, פשוט1 רמה •

- מודל פיזיקלי, כולל רווית 2 רמה •מהירות ומתח סף מתוקן

- חצי-ניסויי, התאמת 3 רמה •פרמטרים

ניסויי, כולל כל ( - BSIM )4 רמה •האפקטים, פופולרי מאוד.

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

MOSפרמטרים עיקריים של טרנזיסטור

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

לרכיבים פרזיטים SPICEמודל

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

לטרנזיסטורים SPICEמודל

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

מיקרון0.5לתהליך SPICEמודל

.MODEL CMOSN NMOS LEVEL=3 PHI=0.7 TOX=10E-09 XJ=0.2U TPG=1 VTO=0.65 DELTA=0.7+ LD=5E-08 KP=2E-04 UO=550 THETA=0.27 RSH=2 GAMMA=0.6 NSUB=1.4E+17 NFS=6E+11+ VMAX=2E+05 ETA=3.7E-02 KAPPA=2.9E-02 CGDO=3.0E-10 CGSO=3.0E-10 CGBO=4.0E-10+ CJ=5.6E-04 MJ=0.56 CJSW=5E-11 MJSW=0.52 PB=1.MODEL CMOSP PMOS LEVEL=3 PHI=0.7 TOX=10E-09 XJ=0.2U TPG=-1 VTO=-0.92 DELTA=0.29+ LD=3.5E-08 KP=4.9E-05 UO=135 THETA=0.18 RSH=2 GAMMA=0.47 NSUB=8.5E+16 NFS=6.5E+11+ VMAX=2.5E+05 ETA=2.45E-02 KAPPA=7.96 CGDO=2.4E-10 CGSO=2.4E-10 CGBO=3.8E-10+ CJ=9.3E-04 MJ=0.47 CJSW=2.9E-10 MJSW=0.505 PB=1

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

1התאמת פרמטרים לרמה

VGS = 5 V

VDS = 5 V VDS

ID

Long-channel

approximation

Short-channelI-V curve

Region of

matching

Select k’ and such that best matching is obtained @ Vgs= Vds = VDD

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

התקדמות הטכנולוגיה

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

התקנים ביפולרים

n-epitaxy

p-substrate

n+ buried layer

p+

isolation

n+ p+

pn+

E B C

p+

E C

B

n+ p n

)a( Cross-sectional view.

)b( Idealized transistor structure.

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

סימונים

C

E

B

IB

IE

IC+

+

+

VBC

VBE

VCE

C

E

B

IB

IE

IC+

+

+

VBC

VBE

VCE

(a) npn (b) pnp

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

אופני עבודה של התקנים ביפולרים

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

ממתח קדמי פעיל

x

E B C

WB

Carrier Concentration

DepletionRegions

0 W

pe0

pc0

nb0

nb)0(

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

רכיבי הזרם

x

E B C

ICIE

IB

1

2 3

electrons

holes

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

ממתח אחורי פעיל

x

E B C

WB

Carrier Concentration

0 W

pe0nb0

nb)0(

pc0

nb)W(

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

רוויה

x

E B C

WB

Carrier Concentration

0 W

pe0

nb0

nb)0(

pc0QS

QAnb)W(

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

קיטעון

x

E B C

WB

Carrier Concentration

0 W

pe0

nb0nb)0(pc0

nb)W(

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

Bipolar Transistor Operation

0.0 2.0VCE (V)

0

5

10

15

I C(m

A)

-3.0 -1.0

VCE (V)

-0.5

I C (

mA

)

IB=100 A

IB=75 A

IB=50 A

IB=25 A

0

-0.25

IB=25 A

IB=50 A

IB=75 A

IB=100 A

Reverse Operation

Forward Operation

Active

Saturation

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

מודלים של התקנים ביפולרים

E

CB

FIB

IB

+

VBE

IB = IS(eVBE/T – 1)E

CB

FIB

IB

+–VBE(on)

(a) Forward-active (b) Forward-active (simplified)

E

CB

IB

+–VBE(sat)

(c) Forward-saturation

+– VCE(sat)

IC < FIB

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

מודל הקיבול הפרזיטי של טרנזיסטור ביפולרי

C

E

B

QF

QR

Cbe

Cbc

S

Ccs

collector-substratejunction capacitance

base-emitterbase-collector

junction capacitances

base charge

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

קיבולי הצמתות

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

קיבולי הדיפוזיה

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

אפקטים נוספים בטרנזיסטורים ביולרים

EARLYמתח

התנגדויות פרזיטיות

תלות בטאהזרםהגבר

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

EARLYמתח

ForwardActive

Saturation

VA

VCE

IC

VBE3

VBE2

VBE1

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

התנגדויות פרזיטיות

n-epitaxy

p-substrate

n+ buried layer

p+

isolation

n+ p+p n+

E B C

p+rC1

rC3

rB

rC2

rE

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

תלות

VBE )linear(

ln )I(

IC

IB

F

High Level Injection

Recombination

IKF

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

SPICEמודל

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

עיקריים SPICEפרמטרי

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

לרכיבים פרזיטיים SPICEפרמטרי

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

SPICEפרמטרי

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

שינויי תהליך

Devices parameters vary between runs and even on the same die!

Variations in the process parameters, such as impurity concentration den-sities, oxide thicknesses, and diffusion depths. These are caused by non-uniform conditions during the deposition and/or the diffusion of theimpurities. This introduces variations in the sheet resistances and transis-tor parameters such as the threshold voltage.

Variations in the dimensions of the devices, mainly resulting from thelimited resolution of the photolithographic process. This causes )W/L(variations in MOS transistors and mismatches in the emitter areas ofbipolar devices.

Digital Integrated CircuitsAdapted from UCB-EE141 Copyright 1996 UCB.

DevicesDevices

שינויי תהליך

1.10 1.20 1.30 1.40 1.50 1.60

Leff (in mm)

1.50

1.70

1.90

2.10

De

lay

(nse

c)

–0.90 –0.80 –0.70 –0.60 –0.50

VTp (V)

1.50

1.70

1.90

2.10

De

lay

(nse

c)

Delay of Adder circuit as a function of variations in L and VT

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