Odd graph

The subthreshold slope is a feature of a MOSFET's current–voltage characteristic.

In the subthreshold region the drain current behaviour – though being controlled by the gate terminal – is similar to the exponentially increasing current of a forward biased diode. Therefore a plot of logarithmic drain current versus gate voltage with drain, source, and bulk voltages fixed will exhibit approximately linear behaviour in this MOSFET operating regime. Its slope is the subthreshold slope.

The subthreshold slope is closely related to its reciprocal value called subthreshold swing S_s-th which is usually given as:

$S_{s-th}=ln(10){kT \over q}(1+{C_{d} \over C_{ox}})$

$C_{d}$ = depletion layer capacitance

$C_{ox}$ = gate-oxide capacitance

${kT \over q}$ = thermal energy divided by the elementary charge

The minimum subthreshold swing of a conventional device can be found by letting $\textstyle {C_{ox}}\rightarrow \infty$ which yields 60 mV/dec at room temperature (300 K). A typical experimental subthreshold swing for a scaled MOSFET at room temperature is ~70 mV/dec, slightly degraded due to short-channel MOSFET parasitics.

A dec (decade) corresponds to a 10 times increase of the drain current I_D.

A device characterized by steep subthreshold slope exhibits a faster transition between off (low current) and on (high current) states.

References

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External links

• Optimization of Ultra-Low-Power CMOS Transistors; Michael Stockinger, 2000