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tesi R. Miscioscia.pdf - EleA@UniSA

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Chapter 1 13<br />

hp. 4) Decoupling between injection mechanisms and field-effect.<br />

The charge density injected from source to channel nDS(x,y) will<br />

be considered independent from the charge density induced in the<br />

channel by the field effect nG(x,y) due to the gate potential VGS<br />

and will be treated separately.<br />

hp. 5) Charge mobility µ will be thought constant in the<br />

semiconductor material, and then its value will be considered in<br />

first approx. uniform and independent from applied voltages VGS<br />

and VDS.<br />

hp. 6) Gradual channel approximation (GCA). The rate of variation<br />

of the lateral field E x within the channel is considered much<br />

smaller than the rate of variation of the vertical fieldE y . An easy<br />

case in which this condition can be reached is when the channel<br />

length is assumed much higher than insulator thickness and the<br />

potentials VGS, VDS in the same range. Then:<br />

t<br />

OX<br />

∂E<br />

x<br />

∂x<br />

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