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6 - Deep submicron effects in MOS transistors

from Section I - Foundations

Published online by Cambridge University Press:  02 December 2010

Rahul Sarpeshkar
Affiliation:
Massachusetts Institute of Technology
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Summary

It [Moore's law] can't continue forever. The nature of exponentials is that you push them out and eventually disaster happens.

Gordon Moore, 2005

In this chapter, we discuss how to model effects that arise in transistors with short channel lengths. Such short-channel transistors have correspondingly thin gate oxides, shallow source/drain junctions, high doping, and small operational supply and threshold voltages. The models are accurate for transistor lengths that range from 1 μm to 0.01 μm (10 nm), where semi-classical approximations of transistor function are still valid. We shall allude to some quantum phenomena as well. We shall begin by first describing the EKV model in a long-channel transistor. The EKV model is an insightful charge-based model that captures subthreshold and above-threshold operation in a simple analytic fashion. It is named after its originators, Enz, Krummenacher, and Vittoz. Then, based on a short-channel model in [2], we shall modify the long-channel EKV model to describe a short-channel effect that is important in above-threshold operation, namely velocity saturation. As the lateral electric field in a transistor increases with increasing drain-to-source voltage, the drift velocity of electrons in short-channel transistors begins to saturate and limit at a maximum velocity vsat; the drift velocity is then no longer related to the lateral electric field via the mobility proportionality constant as it is in long-channel transistors.

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Ultra Low Power Bioelectronics
Fundamentals, Biomedical Applications, and Bio-Inspired Systems
, pp. 129 - 154
Publisher: Cambridge University Press
Print publication year: 2010

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