Maximum Built-In Voltage of a PN junction

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1. Dec 4, 2015

Corwin_S

Hi,

I'm familiar with the expression for calculating the built-in voltage of a p-n junction. How can I find the maximum built-in voltage before the semiconductor becomes degenerate (i.e., a bad metal) if I only know the material and the intrinsic carrier concentration at a given temperature?

Unfortunately it is not as simple as taking a derivative and setting it to zero, because the derivative of the built-in voltage expression goes as 1/x.

Cheers

Last edited: Dec 4, 2015
2. Dec 4, 2015

nasu

Can you define the "built-in voltage of a semiconductor"?

3. Dec 4, 2015

4. Dec 4, 2015

nasu

The formula (and the figure) refers to a junction and not to a semiconductor. This is what I found confusing.
Thank you for clarification.

5. Dec 4, 2015

Corwin_S

I see! Indeed that was a mistake.