© Digital Integrated Circuits
2nd
Devices
Digital Integrated
Digital Integrated
Circuits
Circuits
A Design Perspective
A Design Perspective
The Devices
The Devices
Jan M. Rabaey
Anantha Chandrakasan
Borivoje Nikolic
July 30, 2002
© Digital Integrated Circuits
2nd
Devices
Goal of this chapter
Goal 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
© Digital Integrated Circuits
2nd
Devices
The Diode
The Diode
n
p
p
n
B A
SiO
2
Al
A
B
Al
A
B
Cross-section of pn-junction in an IC process
One-dimensional
representation diode symbol
Mostly occurring as parasitic element in Digital ICs
© Digital Integrated Circuits
2nd
Devices
Depletion Region
Depletion Region
hole diffusion
electron diffusion
p n
hole drift
electron drift
Charge
Density
Distance
x+
-
Electrical
x
Field
x
Potential
V
ξ
ρ
W
2
-W
1
ψ
0
(a) Current flow.
(b) Charge density.
(c) Electric field.
(d) Electrostatic
potential.
© Digital Integrated Circuits
2nd
Devices
Diode Current
Diode Current
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2nd
Devices
Forward Bias
Forward Bias
x
p
n0
n
p0
-W
1
W
2
0
p
n
(W
2
)
n-region
p-region
L
p
diffusion
Typically avoided in Digital ICs
© Digital Integrated Circuits
2nd
Devices
Reverse Bias
Reverse Bias
x
p
n0
n
p0
-W
1
W
2
0
n-region
p-region
diffusion
The Dominant Operation Mode
© Digital Integrated Circuits
2nd
Devices
Models for Manual Analysis
Models for Manual Analysis
V
D
I
D
= I
S
(e
V
D
/
φ
T
– 1)
+
–
V
D
+
–
+
–
V
Don
I
D
(a) Ideal diode model (b) First-order diode model
© Digital Integrated Circuits
2nd
Devices
Junction Capacitance
Junction Capacitance
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2nd
Devices
Diffusion Capacitance
Diffusion Capacitance
© Digital Integrated Circuits
2nd
Devices
Secondary Effects
Secondary Effects
–25.0 –15.0 –5.0 5.0
V
D
(V)
–0.1
I
D
(A)
0.1
0
0
Avalanche Breakdown
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2nd
Devices
Diode Model
Diode Model
I
D
R
S
C
D
+
-
V
D
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2nd
Devices
SPICE Parameters
SPICE Parameters
© Digital Integrated Circuits
2nd
Devices
What is a Transistor?
What is a Transistor?
V
GS
≥
V
T
R
o n
S
D
A Switch!
|V
GS
|
An MOS Transistor
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2nd
Devices
The MOS Transistor
The MOS Transistor
Polysilicon
Aluminum
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2nd
Devices
MOS Transistors -
MOS Transistors -
Types and Symbols
Types and Symbols
D
S
G
D
S
G
G
S
D D
S
G
NMOS
Enhancement
NMOS
PMOS
Depletion
Enhancement
B
NMOS with
Bulk Contact
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2nd
Devices
Threshold Voltage: Concept
Threshold Voltage: Concept
n+n+
p-substrate
D
S
G
B
V
GS
+
-
Depletion
Region
n-channel
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2nd
Devices
The Threshold Voltage
The Threshold Voltage
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2nd
Devices
The Body Effect
The Body Effect
-2.5 -2 -1.5 -1 -0.5 0
0.4
0.45
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
V
BS
(V)
V
T
(V)
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2nd
Devices
Current-Voltage Relations
Current-Voltage Relations
A good ol’ transistor
A good ol’ transistor
Quadratic
Relationship
0 0.5 1 1.5 2 2.5
0
1
2
3
4
5
6
x 10
-4
V
DS
(V)
I
D
(A)
VGS= 2.5 V
VGS= 2.0 V
VGS= 1.5 V
VGS= 1.0 V
Resistive Saturation
V
DS
= V
GS
- V
T
© Digital Integrated Circuits
2nd
Devices
Transistor in Linear
Transistor in Linear
n
+
n
+
p-substrate
D
S
G
B
V
GS
x
L
V(x)
+–
V
DS
I
D
MOS transistor and its bias conditions
© Digital Integrated Circuits
2nd
Devices
Transistor in Saturation
Transistor in Saturation
n+n+
S
G
V
GS
D
V
DS
> V
GS
- V
T
V
GS
- V
T
+
-
Pinch-off
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2nd
Devices
Current-Voltage Relations
Current-Voltage Relations
Long-Channel Device
Long-Channel Device
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2nd
Devices
A model for manual analysis
A model for manual analysis
© Digital Integrated Circuits
2nd
Devices
Current-Voltage Relations
Current-Voltage Relations
The Deep-Submicron Era
The Deep-Submicron Era
Linear
Relationship
-4
V
DS
(V)
0 0.5 1 1.5 2 2.5
0
0.5
1
1.5
2
2.5
x 10
I
D
(A)
VGS= 2.5 V
VGS= 2.0 V
VGS= 1.5 V
VGS= 1.0 V
Early Saturation