digital integrated circuits a design perspective

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Digital Integrated Digital Integrated CircuitsCircuitsA Design PerspectiveA Design Perspective

The DevicesThe Devices

Jan M. RabaeyAnantha ChandrakasanBorivoje Nikolic

July 30, 2002

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Goal of this chapterGoal of this chapter

Present intuitive understanding of device operation

Introduction of basic device equations Introduction of models for manual

analysis Introduction of models for SPICE

simulation Analysis of secondary and deep-sub-

micron effects Future trends

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The DiodeThe Diode

n

p

p

n

B A SiO2Al

A

B

Al

A

B

Cross-section of pn-junction in an IC process

One-dimensionalrepresentation diode symbol

Mostly occurring as parasitic element in Digital ICs

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Depletion RegionDepletion Regionhole diffusion

electron diffusion

p n

hole driftelectron drift

ChargeDensity

Distancex+

-

ElectricalxField

x

PotentialV

W2-W1

(a) Current flow.

(b) Charge density.

(c) Electric field.

(d) Electrostaticpotential.

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Diode CurrentDiode Current

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Forward BiasForward Bias

x

pn0

np0

-W1 W20p n

(W2)

n-regionp-region

Lp

diffusion

Typically avoided in Digital ICs

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Reverse BiasReverse Bias

x

pn0

np0

-W1 W20n-regionp-region

diffusion

The Dominant Operation Mode

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Models for Manual AnalysisModels for Manual Analysis

VD

ID = IS(eVD/T – 1)+

–

VD

+

–

+

–VDon

ID

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

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Junction CapacitanceJunction Capacitance

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Diffusion CapacitanceDiffusion Capacitance

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Secondary EffectsSecondary Effects

–25.0 –15.0 –5.0 5.0

VD (V)

–0.1

I D (A

)

0.1

0

0

Avalanche Breakdown

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Diode ModelDiode Model

ID

RS

CD

+

-

VD

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SPICE ParametersSPICE Parameters

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What is a Transistor?What is a Transistor?

VGS VT

RonS D

A Switch!

|VGS|

An MOS Transistor

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The MOS TransistorThe MOS Transistor

Polysilicon Aluminum

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MOS Transistors -MOS Transistors -Types and SymbolsTypes and Symbols

D

S

G

D

S

G

G

S

D D

S

G

NMOS Enhancement NMOS

PMOS

Depletion

Enhancement

B

NMOS withBulk Contact

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Threshold Voltage: ConceptThreshold Voltage: Concept

n+n+

p-substrate

DSG

B

VGS

+

-

Depletion

Region

n-channel

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The Threshold VoltageThe Threshold Voltage

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The Body EffectThe Body Effect

-2.5 -2 -1.5 -1 -0.5 00.4

0.45

0.5

0.55

0.6

0.65

0.7

0.75

0.8

0.85

0.9

VBS

(V)

VT (

V)

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Current-Voltage RelationsCurrent-Voltage RelationsA good ol’ transistorA good ol’ transistor

QuadraticRelationship

0 0.5 1 1.5 2 2.50

1

2

3

4

5

6x 10

-4

VDS (V)

I D (

A)

VGS= 2.5 V

VGS= 2.0 V

VGS= 1.5 V

VGS= 1.0 V

Resistive Saturation

VDS = VGS - VT

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Transistor in LinearTransistor in Linear

n+n+

p-substrate

D

SG

B

VGS

xL

V(x) +–

VDS

ID

MOS transistor and its bias conditions

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Transistor in SaturationTransistor in Saturation

n+n+

S

G

VGS

D

VDS > VGS - VT

VGS - VT+-

Pinch-off

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Current-Voltage RelationsCurrent-Voltage RelationsLong-Channel DeviceLong-Channel Device

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A model for manual analysisA model for manual analysis

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Current-Voltage RelationsCurrent-Voltage RelationsThe Deep-Submicron EraThe Deep-Submicron Era

LinearRelationship

-4

VDS (V)0 0.5 1 1.5 2 2.5

0

0.5

1

1.5

2

2.5x 10

I D (

A)

VGS= 2.5 V

VGS= 2.0 V

VGS= 1.5 V

VGS= 1.0 V

Early Saturation

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Velocity SaturationVelocity Saturation

(V/µm)c = 1.5

n

(m/s

)

sat = 105

Constant mobility (slope = µ)

Constant velocity

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PerspectivePerspective

IDLong-channel device

Short-channel device

VDSVDSAT VGS - VT

VGS = VDD

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IIDD versus V versus VGSGS

0 0.5 1 1.5 2 2.50

1

2

3

4

5

6x 10

-4

VGS (V)

I D (

A)

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5x 10

-4

VGS (V)

I D (

A)

quadratic

quadratic

linear

Long Channel Short Channel

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IIDD versus V versus VDSDS

-4

VDS (V)0 0.5 1 1.5 2 2.5

0

0.5

1

1.5

2

2.5x 10

I D (

A)

VGS= 2.5 V

VGS= 2.0 V

VGS= 1.5 V

VGS= 1.0 V

0 0.5 1 1.5 2 2.50

1

2

3

4

5

6x 10

-4

VDS (V)

I D (

A)

VGS= 2.5 V

VGS= 2.0 V

VGS= 1.5 V

VGS= 1.0 V

ResistiveSaturation

VDS = VGS - VT

Long Channel Short Channel

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A unified modelA unified modelfor manual analysisfor manual analysis

S D

G

B

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Simple Model versus SPICE Simple Model versus SPICE

0 0.5 1 1.5 2 2.50

0.5

1

1.5

2

2.5x 10

-4

VDS

(V)

I D (

A)

VelocitySaturated

Linear

Saturated

VDSAT=VGT

VDS=VDSAT

VDS=VGT

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A PMOS TransistorA PMOS Transistor

-2.5 -2 -1.5 -1 -0.5 0-1

-0.8

-0.6

-0.4

-0.2

0x 10

-4

VDS (V)

I D (

A)

Assume all variablesnegative!

VGS = -1.0V

VGS = -1.5V

VGS = -2.0V

VGS = -2.5V

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Transistor Model Transistor Model for Manual Analysisfor Manual Analysis

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The Transistor as a SwitchThe Transistor as a Switch

VGS VT

RonS D

ID

VDS

VGS = VD D

VDD/2 VDD

R0

Rmid

ID

VDS

VGS = VD D

VDD/2 VDD

R0

Rmid

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The Transistor as a SwitchThe Transistor as a Switch

0.5 1 1.5 2 2.50

1

2

3

4

5

6

7x 10

5

VDD

(V)

Req

(O

hm)

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The Transistor as a SwitchThe Transistor as a Switch

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The Sub-Micron MOS TransistorThe Sub-Micron MOS Transistor

Threshold Variations Subthreshold Conduction Parasitic Resistances

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Threshold VariationsThreshold Variations

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)

VDS

VT

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Sub-Threshold ConductionSub-Threshold Conduction

0 0.5 1 1.5 2 2.510

-12

10-10

10-8

10-6

10-4

10-2

VGS (V)

I D (

A)

VT

Linear

Exponential

Quadratic

Typical values for S:60 .. 100 mV/decade

The Slope Factor

ox

DnkT

qV

D C

CneII

GS

1 ,~ 0

S is VGS for ID2/ID1 =10

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Sub-Threshold Sub-Threshold IIDD vs vs VVGSGS

VDS from 0 to 0.5V

kT

qV

nkT

qV

D

DSGS

eeII 10

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Sub-Threshold Sub-Threshold IIDD vs vs VVDSDS

DSkT

qV

nkT

qV

D VeeIIDSGS

110

VGS from 0 to 0.3V

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Summary of MOSFET Operating Summary of MOSFET Operating RegionsRegions

Strong Inversion VGS > VT

Linear (Resistive) VDS < VDSAT

Saturated (Constant Current) VDS VDSAT

Weak Inversion (Sub-Threshold) VGS VT

Exponential in VGS with linear VDS dependence

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Parasitic ResistancesParasitic Resistances

W

LD

Drain

Draincontact

Polysilicon gate

DS

G

RS RD

VGS,eff

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Latch-upLatch-up

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Future PerspectivesFuture Perspectives

25 nm FINFET MOS transistor