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Subthreshold equations...

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aryajur

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The subthreshold equation that is given in many references is like this:

Id = µ K W/L Vt² (exp(Vgs-Vth)/(ζVt) ) (1 - exp(-Vds/Vt) )

ANd when Vds becomes a little large then the last exponential term reduces to 0. But for this equation the term Vgs -Vth will be negative so the curve should be exponentially decreasing ! Razavi says that the equation can be approximated to:

Id = W/L Is exp(Vgs/(ζVt))

I don't understand how can Vt (Upper limit of the threshold) can be ignored here?
 

exp((Vgs-Vth)/ζVt) = exp(Vgs/ζVt) / exp(Vth/ζVt)

The 1/exp(Vth/ζVt) is essentially a constant, and is included in the constant Is.
 

    aryajur

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question...

What is ξ, and how to obtain it from BSIM3 parameters?
 

Re: question...

tyanata said:
What is ξ, and how to obtain it from BSIM3 parameters?

ζ is non ideality factor and ranges from 1 to 3. Best way is to simulate the DC curve of the MOS in the subthreshold and calculate ζ from there.
 

Re: question...

aryajur said:
tyanata said:
What is ξ, and how to obtain it from BSIM3 parameters?

ζ is non ideality factor and ranges from 1 to 3. Best way is to simulate the DC curve of the MOS in the subthreshold and calculate ζ from there.

I wonder if there is a parameter or parameters in the model file stating this value?
thanks in advance
 

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