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Curve Fitting
Results
Ray
Log(Id)
VGS
Sqrt(Id)
VGS
Weak-Inversion Fitting
Chip #1
Chip #2
Weak-Inversion Fitting
Temperature Effect
Chip #1
T = 65F
T = 80F
T = 90F
Sqrt(Id)
VGS
Curve Fittings from
Square Root of Drain Current
Threshold voltage
Slope1
Slope2
slope drops due to the degradation of mobility
Depletion
region
charge
Threshold Voltage
Fitting results
Chip #1
T = 65F
T = 80F
T = 90F
Chip #2
T = 69F
Leakage when Vgs = 0V
VDS
Punch-through
GIDL
DIBL
Mobility Ratio
Fitting results
Chip #1
T = 65F
T = 80F
T = 90F
Chip #2
T = 69F
Slope1 Slope2 K3
For chip#1, mobility will drop fourfold while it drops 2.5 times for chip #2
Velocity Saturation
Chip #1
T = 65F
T = 80F
T = 90F
Chip #2
T = 69F
further to
velocity saturation
closer to
velocity saturation
Mobility ratio Fitting
Velocity Saturation Dominant Case
Chip #1
Chip #2
Mobility only drops 1.1 times!
Mobility only drops 1.04 times!
Problems So Far
• In mobility ratio fitting results, the difference in two
slopes lying only in the assumption of mobility
difference under standard square law equation.
• However, as the previous slide show, if velocity
saturation kicks in, square law doesn't hold and the
index can also be an coefficient. Thus, the mobility
degradation effect will be reduced.
• Nevertheless, the temperature effect is not affected.
We need to understand the physics here to choose which
phenomenon is here presented.

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Curve Fitting results 1110