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Gummel-Petit Model (Ideal Diode)

A foundational model describing the current-voltage relationship of a semiconductor junction (diode), often approximated by the Shockley equation:

I = I_s (e^{V/nV_T} - 1)

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The statement of the theorem

The Gummel-Petit model approximates the diode current

I

using the Shockley equation, which relates the current to the applied voltage

V

and the intrinsic saturation current

I_s

: \n

I = I_s \left( e^{V/n V_T} - 1 \right)

\nWhere

V_T = \frac{k_B T}{q}

is the thermal voltage,

n

is the ideality factor, and

I_s

is the reverse saturation current. This equation is derived from the assumption of recombination and diffusion current balance at the junction.