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Subthreshold conduction

Subthreshold conduction is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Subthreshold conduction rather than just read about it. In short: Subthreshold conduction or subthreshold leakage or subthreshold drain current is the current between the source and drain of a MOSFET when the transistor is in subthreshold region, or weak-inversion region, that is, for gate-to-source voltages below the threshold voltage. The amount of subthreshold conduction in a transistor is set by its threshold voltage, which is the minimum gate voltage required to switch the de…

Subthreshold conduction — main illustration
Subthreshold conduction — illustration

Key takeaways

  • Subthreshold conduction belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Subthreshold conduction to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Subthreshold conduction from memory before moving on to harder problems.

Reference excerpt

Subthreshold conduction or subthreshold leakage or subthreshold drain current is the current between the source and drain of a MOSFET when the transistor is in subthreshold region, or weak-inversion region, that is, for gate-to-source voltages below the threshold voltage. The amount of subthreshold conduction in a transistor is set by its threshold voltage, which is the minimum gate voltage required to switch the device between on and off states. However, as the drain current in a MOS device varies exponentially with gate voltage, the conduction does not immediately become zero when the threshold voltage is reached. Rather it continues showing an exponential behavior with respect to the subthreshold gate voltage. When plotted against the applied gate voltage, this subthreshold drain current exhibits a log-linear slope, which is defined as the subthreshold slope. Subthreshold slope is used as a figure of merit for the switching efficiency of a transistor. In digital circuits, subthreshold conduction is generally viewed as a parasitic leakage in a state that would ideally have no conduction. In micropower analog circuits, on the other hand, weak inversion is an efficient operating region, and subthreshold is a useful transistor mode around which circuit functions are designed. Historically, in CMOS circuits, the threshold voltage has been insignificant compared to the full range of gate voltage between the ground and supply voltages, which allowed for gate voltages significantly below the threshold in the off state. As gate voltages scaled down with transistor size, the room for gate voltage swing below the threshold voltage drastically reduced, and the subthreshold conduction became a significant part of the off-state leakage of a transistor. For a technology generation with threshold voltage of 0.2 V, subthreshold conduction, along with other leakage modes, can account for 50% of total power consumption.

Sub-threshold electronics Some devices exploit sub-threshold conduction to process data without fully turning on or off. Even in standard transistors a small amount of current leaks even when they are technically switched off. Some sub-threshold devices have been able to operate with between 1 and 0.1 percent of the power of standard chips. Such lower power operations allow some devices to function with the small amounts of power that can be scavenged without an attached power supply, such as a wearable EKG monitor that can run entirely on body heat.

See also Depletion and enhancement modes Integrated circuit Moore's law Multi-channel length Subthreshold slope

References

Further reading Gaudet, Vincent C. (2014-04-01) [2013-09-25]. "Chapter 4.1. Low-Power Design Techniques for State-of-the-Art CMOS Technologies". Written at Freiberg, Germany. In Steinbach, Bernd [in German] (ed.). Recent Progress in the Boolean Domain (1 ed.). Newcastle upon Tyne, UK: Cambridge Scholars Publishing. pp. 187–212. ISBN 978-1-4438-5638-6. Retrieved 2019-08-04. [1] (xxx+428 pages)

Illustrations

Subthreshold conduction: Subthreshold leakage in an nFET
Subthreshold leakage in an nFET

Worked examples

Example 1 — a first encounter with Subthreshold conduction

Start with the simplest possible case. Write down what Subthreshold conduction claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Subthreshold conduction before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Subthreshold conduction ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Subthreshold conduction

In research
Subthreshold conduction appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Subthreshold conduction in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Subthreshold conduction is common in secondary-school and first-year university syllabi. It links to neighbouring topics Electric current, MOSFETs, Transistor modeling, so understanding it makes those chapters shorter.
In everyday life
Look for Subthreshold conduction outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Subthreshold conduction in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Subthreshold conduction means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Subthreshold conduction out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Subthreshold conduction in simple terms?

Subthreshold conduction or subthreshold leakage or subthreshold drain current is the current between the source and drain of a MOSFET when the transistor is in subthreshold region, or weak-inversion region, that is, for gate-to-source voltages below the threshold voltage. The amount of subthreshold…

Why does Subthreshold conduction matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Subthreshold conduction?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Subthreshold conduction.

Tags

  • Electric current
  • MOSFETs
  • Transistor modeling

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