Analog and Digital VLSI Design
EEE F313/INSTR F313
Lecture 8: MOS Operation
MOS as a Switch
For PMOS
Assert low switch
VG (A) VT, PMOS is on, else it will be off (open circuit)
it may be written as: y x. A
For NMOS
Assert high switch
VG (A) 0, NMOS is on, else it will be off (open circuit)
it may be written as: y x. A
MOS Capitance
A
Vg < 0 -- C
t
MOS ox
Polysilicon Gate ox
Silicon di oxide insulator
+ + + + + + + +
+ - + - + - + +
+ + - + - - + +
p body - -
Accumulation
MOS as a Capacitor
For 0<V <V , electrons (minority) are attracted,
G T
and holes are repelled, so negative charges
are created by acceptor ions (immobile) =>
depletion region is formed
For V >V , hole density further reduces and
G T
due to the law of mass-action, electron
density now starts increasing
IV Characteristics
Idealized model
Too many effects are neglected
In Linear region, Ids depends on
How much charge is in the channel?
How fast is the charge moving?
MOS Current Equation
For an nMOS: I f (V ,V )
ds gs ds
Inversion charge/area: Q C (V V V ( x))
n ox gs t
Charge is carried by e-
()
=
nMOS I-V
6
2.5
5
4
2
= 0 V <
3
2 1.5
Cut off 1
1
0
0 0.5 1 1.5 2 2.5
= V >
2 V <
Linear, Resistive
2 V >
= V >
2
Saturation
nMOS I-V
If Vds << (Vgs -Vt )
Voltage dependent linear resistor (Vgs)
When Vds is moderately high
Voltage dependent linear resistor (Vgs, Vds)
When, Vds >= (Vgs -Vt )
Voltage dependent current source
Non-ideal Effects
Subthreshold conduction
Ids is not zero for Vgs<Vt
Channel length modulation
Ids depends upon Vds beyond saturation
Velocity saturation
The drift velocity saturates at some electric field (Ec)
Non Ideal Effects
Mobility Degradation
- + - +
G
S D
- - n+- -- -- -- - -- --- - -- -- -- -- -- -- - - - - - - - n+ - -
+ +
+ + p- Body + - + +
+ + - + + -
+ + + + - + - - + + + +
+ +
- -
> eff
Non Ideal Effects
Tunneling Leakage gate current
G
n+ - - - - - - - - - - - - - -- n+
Non Ideal Effects
Body effect
= 0 + ( + )
Vt0 threshold voltage is at the body potential
Non Ideal Effects
Temperature Dependence
Transistor characteristics influenced by temperature
e.g. mobility, Vt
Geometry Dependence
Mismatch between assumed and actual sizes
Parasitics
CKV
Thank You