mosfet characteristics
TRANSCRIPT
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BASICS OF VLSI LAB-1 REPORT
Submitted by,
Richu Jose Cyriac (M120128EC)Davis Oommen Abraham (M120133EC)
Aim1. To plot current-voltage characteristics of NMOSFET and PMOSFET.
2. To measure MOS model parameters.
1. CURRENT VOLTAGE CHARACTERISTICSCurrent-Voltage equations for the n-channel MOSFET
0DI f o r TGS VV
])().(2[2
)(2
...
DSTGSoxn
D VVVLWC
linI
fo r TGS VV an d TGSDS VVV
for TGS VV and TGSDS VVV
Current-Voltage equations for the p-channel MOSFET
0DI f o r TGS VV
])().(2[2
)( 2...
DSTGSoxp
D VVVLWC
linI for TGS VV an d TGSDS VVV
)1()(2
)( 2... DSTGSoxpD VVVLWCsatI f o r TGS VV an d TGSDS VVV
Figure 1.1 : Drain current vs gate voltage characteristics for NMOS and PMOS
-1.00E-04
-5.00E-05
0.00E+00
5.00E-05
1.00E-04
1.50E-04
2.00E-04
-2 -1 0 1 2
Id(A),D
rain
current
Vgs(V),Gate to source volt age
NMOSVds=-1.8V
Vds=-1.35V
Vds=-0.9V
Vds=-.45V
Vds=0V
Vds=1.80V
Vds=1.35V
Vds=0.90V
Vds=0.45V
Vds=0.00V
PMOS
)1()(2
)( 2...
DSTGSoxn
D VVVLWC
satI )1()(2
)( 2...
DSTGSoxn
D VVVLWC
satI
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Figure 1.2: Drain current vs Drain to source voltage characteristics for NMOS and PMOS
2. MOS MODEL PARAMETER EXTRACTION
2.1THRESHOLD VOLTAGE TV
Fig2.1: Gate to Source Voltage vs Drain current and its second derivative
TV =478.74 mV
-0.0001
-0.00005
0
0.00005
0.0001
0.00015
0.0002
-2 -1.5 -1 -0.5 0 0 .5 1 1.5 2
Id,D
rain
Current(A)
Vds,Drain to source Voltage(V)
Vgs=1.80
Vgs=1.44V
Vgs=1.08
Vgs=0.72V
Vgs=0.00V
Vgs=-0.36V
Vgs=-0.72V
Vgs=-1.08V
Vgs=-1.44V
Vgs=-1.8V
N M O SPM O S
-5.00E-05
0.00E+00
5.00E-05
1.00E-04
1.50E-04
2.00E-04
2.50E-04
3.00E-04
3.50E-04
4.00E-04
4.50E-04
0 0.5 1 1 .5 2
Drain
current(A)
Vgs(V)
Threshold Voltage
second derivat ive
Ids(A)
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2.2 DRAIN-INDUCED BARRIER LOWERING
THEORY
A part of the region below gate is already depleted a smaller threshold suffices to cause strong inversion in short
channel devices. By increasing the drain-source voltage the width of drain-junction depletion region increases
consequently threshold decreases with increasing DSV .This effect is known as drain-induced barrier
lowering(DIBL).
It can be estimated asDS
T
V
V
Fig 2.2.: Gate to Source Voltage vs Drain current and its second derivative at differentvalues of Vds
CALCULATIONS
2THV =0.48V, 1THV =0.52V ,Vds2=1.8V,Vds1=1.0V, DIBL= -0.05
-1.00E-04
-5.00E-05
0.00E+00
5.00E-05
1.00E-04
1.50E-04
2.00E-04
2.50E-04
3.00E-04
3.50E-04
4.00E-04
4.50E-04
0 0.5 1 1.5 2
Id
(A)
Vgs(V)
DIBL
Vds =1.0V
Vds =1.8V
2n d
der ivat iveat Vds=1.8V
2n d
der ivat iveat Vds=1.0V
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2.3 EFFECT OF CHANNEL LENGTH MODULATION
Figure 2.3: Drain current vs Drain to source voltage characteristics for NMOS at
Vgs=1.8V
THEORY
If DSV is increased beyond )(satDSV the additional voltage applied to the drain appears across the end of the channel and
drain region. This voltage accelerates the electrons that reach the drain end of the channel and sweeps them across the
depletion region into drain. Channel length in effect is reduced since DI is inversely proportional to channel length
current increases with DSV after )(satDSV
1
2
1
2
1
1
)(
)(
DS
DS
satD
satD
V
V
I
I
CALCULATION
Selecting values
2DSV =1.8V and 1DSV =1.7V ,both greater than )(satDSV
2)(satDI = 0.0001747 A and 1)(satDI = 0.0001731 A
=0.109661
V
0
0.00002
0.00004
0.00006
0.000080.0001
0.00012
0.00014
0.00016
0.00018
0.0002
0 0.5 1 1.5 2
Ids(A),D
rain
current
Vds(V),Drain to Source Volt age
Channe l length m odulat ion
Vgs=1.8V
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2.4 BODY EFFECT COEFFICIENT
THEORY
The effect of substrate bias is to widen the depletion region and raise the threshold voltage.
CALCULATION
0TV =478.74mV, TV =542.96M v, SBV =0.4V, typically F2 =0.8V
=0.319 21
V
RESULTS AND INFERENCES
1. The difference in amount of drain currents in NMOS and PMOS is due to the difference in electron hole
mobility. For electron mobility is higher therefore NMOS structures provides higher currents.
2. Threshold voltage at Vsb=0 is 478.74Mv.
3. DIBL= -0.05V .As Vds increases threshold voltage lowers.
4. = 0.10966 1
V In saturation region current increases as Vds increases.
5. =0.3192
1
V .As Vsb increases threshold voltage also increases
-5.00E-05
0.00E+00
5.00E-05
1.00E-04
1.50E-04
2.00E-04
2.50E-04
3.00E-04
3.50E-04
4.00E-04
4.50E-04
0 0.5 1 1.5 2
Id(A)
Vgs(V)
Body effect coefficient secondder ivat iveat Vsb=0
Ids(A) at
Vsb=0
second
der ivat ive
at Vsb=0.4V
Ids at
Vsb=0.4V
)22(0 FSBFTT VVV
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