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Journal ArticleDOI

Effects of diffusion current on characteristics of metal-oxide (insulator)-semiconductor transistors☆

H.C. Pao, +1 more
- 01 Oct 1966 - 
- Vol. 9, Iss: 10, pp 927-937
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TLDR
In this article, the effects of the diffusion current on the three more important low-frequency dynamic characteristics (the short-circuit gate capacitance, the transconductance, and the drain conductance) are discussed.
Abstract
A qualitative discussion of the device operation is first given using three-dimensional energy band diagrams to show the significance of the diffusion current. The theoretical static I–V characteristics are the computed including both the diffusion and the drift currents, based on the one-dimensional and gradual channel model. Drain current saturation phenomena are evident in these exact solutions which are in good agreement with the calculations based on the bulk charge approximation and with the experimental data for the entire non-saturating and saturated ranges. The relative importance of the two current components along the length of the channel is illustrated. The effects of the diffusion current on the three more important low-frequency dynamic characteristics (the short-circuit gate capacitance, the transconductance, and the drain conductance) are discussed. The surface potential, the quasi-Fermi potential, the surface electric field and the surface carrier concentration along the channel are examined. The complete one-dimensional gradual channel model is inadequate to account for the large drain conductance observed in the saturation range, and it is shown that the electric field longitudinal to the channel current flow must be taken into account near the drain junction where it is larger than the transverse field due to the voltage applied to the gate electrode.

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Citations
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Fundamentals of Modern VLSI Devices

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TL;DR: In this article, the authors highlight the intricate interdependencies and subtle tradeoffs between various practically important device parameters, and also provide an in-depth discussion of device scaling and scaling limits of CMOS and bipolar devices.
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An analytical MOS transistor model valid in all regions of operation and dedicated to low-voltage and low-current applications

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A charge-sheet model of the MOSFET

TL;DR: In this paper, the authors compared the Pao-Sah double-integral model with the charge sheet model for long-channel MOSFETs and found that the charge-sheet model is simpler to extend to two or three dimensions.
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BSIM: Berkeley short-channel IGFET model for MOS transistors

TL;DR: The Berkeley short-channel IGFET model (BSIM) as discussed by the authors is an accurate and computationally efficient MOS transistor model, and its associated characterization facility for advanced integrated-circuit design is described.
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Generalized scaling theory and its application to a ¼ micrometer MOSFET design

TL;DR: In this paper, a generalized scaling theory was proposed to allow for independent scaling of the FET physical dimensions and applied voltages, while still maintaining constant the shape of the electric field pattern.
References
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Journal ArticleDOI

Effective Carrier Mobility in Surface-Space Charge Layers

TL;DR: In this paper, an effective mobility was obtained from a solution of the Boltzmann equation for two types of potential functions: (a) a linear potential corresponding to a constant space-charge field, and (b) a Poisson's equation including an external bias applied normal to the surface.
Journal ArticleDOI

Characteristics of the metal-Oxide-semiconductor transistors

TL;DR: In this article, the theory of the MOS transistor in the gradual channel approximation is presented with the assumption of constant surface and bulk charge, and constant surface mobility, from the simple theory, the complete design equations are derived and design curves are calculated.
Journal ArticleDOI

The effects of fixed bulk charge on the characteristics of metal-oxide-semiconductor transistors

TL;DR: In this article, the authors developed a theory of the characteristics of the MOS transistors based on a model in which both the bulk charge due to the ionized impurity in the semiconductor substrate and the difference between the electrostatic potential and the voltage drop in the channel are included.
Journal ArticleDOI

Carrier mobility and current saturation in the MOS transistor

TL;DR: In this article, the effect of limited carrier drift velocity in the transistor channel is evaluated, and a quantitative theory developed to predict behavior in such a region of current flow, and the physical mechanisms controlling saturation drain resistance and voltage gain are discussed and compared.
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