en>David Eppstein: /* Hamiltonicity */ authorlink Carla Savage

2013-07-12T22:04:30Z

Hamiltonicity: authorlink Carla Savage

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

			In the [[Subthreshold conduction\|subthreshold]] region the [[Drain_(transistor)#Terminals\|drain]] current behaviour – though being controlled by the [[Gate_(transistor)#Terminals\|gate]] terminal – is similar to the exponentially increasing current of a [[Diode#Current.E2.80.93voltage_characteristic\|forward biased diode]]. Therefore a plot of [[logarithm]]ic drain current versus gate voltage with drain, [[Source_(transistor)#Terminals\|source]], and [[Bulk_(transistor)#Terminals\|bulk]] voltages fixed will exhibit approximately linear behaviour in this MOSFET operating regime. Its slope is the subthreshold slope.

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			<math> S_{s-th} = ln(10) {kT \over q}(1+{C_d \over C_{ox}}) </math>

			<math>C_d</math> = [[Depletion region\|depletion layer]] capacitance

			<math>C_{ox}</math> = gate-oxide capacitance

			<math>{kT \over q}</math> = [[thermal energy]] divided by the [[elementary charge]]

			The minimum subthreshold swing of a conventional device can be found by letting <math>\textstyle {C_{ox}} \rightarrow \infty </math> 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.<ref name="Intel22">{{Cite doi\|10.1109/VLSIT.2012.6242496}}</ref>

			A ''dec'' (decade) corresponds to a 10 times increase of the drain current ''I<sub>D</sub>''.

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

			==References==
			{{reflist}}

			==External links==
			* [http://www.iue.tuwien.ac.at/phd/stockinger/node13.html Optimization of Ultra-Low-Power CMOS Transistors]; Michael Stockinger, 2000

			{{DEFAULTSORT:Subthreshold Slope}}
			[[Category:Transistor modeling]]

193.61.10.28 at 13:34, 31 May 2012

2012-05-31T13:34:56Z

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en>David Eppstein: /* Hamiltonicity */ authorlink Carla Savage

193.61.10.28 at 13:34, 31 May 2012