digital integrated circuits© prentice hall 1995 devices the mos transistor
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Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
The MOS Transistor
n+n+
p-substrate
Field-Oxyde
(SiO2)
p+ stopper
Polysilicon
Gate Oxyde
DrainSource
Gate
Bulk Contact
CROSS-SECTION of NMOS Transistor
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Cross-Section of CMOS Technology
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
MOS transistors Types and Symbols
D
S
G
D
S
G
G
S
D D
S
G
NMOS Enhancement NMOS
PMOS
Depletion
Enhancement
B
NMOS withBulk Contact
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Threshold Voltage: Concept
n+n+
p-substrate
DSG
B
VGS
+
-
Depletion
Region
n-channel
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Current-Voltage Relations
n+n+
p-substrate
D
SG
B
VGS
xL
V(x) +–
VDS
ID
MOS transistor and its bias conditions
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Current-Voltage Relations
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Transistor in Saturation
n+n+
S
G
VGS
D
VDS > VGS - VT
VGS - VT+-
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
I-V Relation
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 Circuits © Prentice Hall 1995DevicesDevices
A model for manual analysis
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
The Sub-Micron MOS Transistor
• Threshold Variations
• Parasitic Resistances
• Velocity Sauturation and Mobility Degradation
• Subthreshold Conduction
• Latchup
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Threshold 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
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Parasitic Resistances
W
LD
Drain
Draincontact
Polysilicon gate
DS
G
RS RD
VGS,eff
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Velocity Saturation (1)
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 Circuits © Prentice Hall 1995DevicesDevices
Velocity Saturation (2)
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 Circuits © Prentice Hall 1995DevicesDevices
Sub-Threshold Conduction
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 Circuits © Prentice Hall 1995DevicesDevices
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 Circuits © Prentice Hall 1995DevicesDevices
SPICE MODELS
Level 1: Long Channel Equations - Very Simple
Level 2: Physical Model - Includes VelocitySaturation and Threshold Variations
Level 3: Semi-Emperical - Based on curve fittingto measured devices
Level 4 (BSIM): Emperical - Simple and Popular
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
MAIN MOS SPICE PARAMETERS
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
SPICE Transistors Parameters
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SPICE Parameters for Parasitics
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Technology Evolution
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
The CMOS Inverter: A First Glance
VDD
Vin Vout
CL
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
VTC of Real Inverter
0.0 1.0 2.0 3.0 4.0 5.0Vin (V)
1.0
2.0
3.0
4.0
5.0
Vo
ut (V
)
VMNMH
NML
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Dynamic Behavior of MOS Transistor
DS
G
B
CGDCGS
CSB CDBCGB
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Delay Definitions
tpHL
tpLH
t
t
Vin
Vout
50%
50%
tr
10%
90%
tf
VDD VDD
VinVout
M1
M2
M3
M4Cdb2
Cdb1
Cgd12
Cw
Cg4
Cg3
Vout2
Fanout
Interconnect
VoutVin
CL
SimplifiedModel
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
CMOS Inverters
Polysilicon
InOut
Metal1
VDD
GND
PMOS
NMOS
1.2 m=2
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Using Cascaded Buffers
C2C1
Ci
CL
1 u u2 uN-1
In Out
uopt = e
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
COMBINATIONAL LOGIC
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Static CMOS
VDD
VSS
PUN
PDN
In1
In2
In3
F = G
In1
In2
In3
PUN and PDN are Dual Networks
PMOS Only
NMOS Only
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Example Gate: NAND
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
4-input NAND Gate
Out
In1 In2 In3 In4
In3
In1
In2
In4
In1 In2 In3 In4
VDD
Out
GND
VDD
In1 In2 In3 In4
Vdd
GND
Out
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Where Does Power Go in CMOS?
• Dynamic Power Consumption
• Short Circuit Currents
• Leakage
Charging and Discharging Capacitors
Short Circuit Path between Supply Rails during Switching
Leaking diodes and transistors
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
SEQUENTIAL LOGIC
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
Master-Slave Flip-Flop
S
R
Q
Q Q
QS
R
Q
Q
J
K
MASTER SLAVE
QJ
K Q
PRESET
CLEAR
SI
RI
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
The Ellmore Delay
Digital Integrated Circuits © Prentice Hall 1995DevicesDevices
The Clock Skew Problem
CL1 R1 CL2 R2 CL3 R3In Out
t’ t’’ t’’’
tl,min
tl,max
tr,min
tr,max
ti
Clock Edge Timing Depends upon Position
Clock Rates as High as 500 Mhz in CMOS!