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Device simulation - Silvaco International

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IMS CAD & Design Services<br />

Basic Semiconductor Equations<br />

The mathematical model that describes semiconductor device physics consists<br />

of a set of fundamental equations (derived from Maxwell’s laws), which link<br />

together electrostatic potential and carriers densities:<br />

Poisson’s equation<br />

Continuity equation<br />

Constitutive equation<br />

It relates variations in electrostatic<br />

potential to local charge densities.<br />

They describe the way electron<br />

and hole densities evolve as a<br />

result of transport, generation, and<br />

recombination processes.<br />

Maria Concetta Allia<br />

<strong>Device</strong><br />

16

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