A knowledge of the MOSFET operating in weak inversion is important for circuits with low leakage specifications. This paper discusses the effect of temperature on the MOSFET in weak inversion. The reciprocal slope

of the log I
DSversus V
GSrelationship between source-drain current I
DSand gate bias V
GSmay be given by
![{1 \\over (n - 1 - \\gamma )^{2}} = {2C_{ox}^{2} \\over q\\epsilon_{s}N_{B}} \\Bigg[ {3 \\over 4} {E_{g^{0}} \\over q} - \\Bigg( {3 \\over 2}\\alpha + {k \\over q} \\Bigg) T \\Bigg]](/images/tex/15207.gif)
with

and γ ≡

, where C
oxis the oxide capacitance per unit area, C
ssthe surface states capacitance per unit area,

the electronic charge, ε
sthe permittivity of silicon, N
Bthe bulk doping concentration,

the Boltzmann\´s constant,

the absolute temperature, and

the extrapolated value of the energy gap of lightly doped silicon at

K. This theoretical formula was in good agreement with experimental results in a temperature range of interest.