Screening Effect in Metals and Semiconductors

In the last chapter we saw how negative charges can screen the electric field generated by positive charges and vice versa. We assumed we can put these charges wheever we want. Let's see how these charges appear and distribute in metals and semiconductors and how the screening effect works in these materials.

Metals

The density of electrons in metals is extremely high. However, for every free electron there is a positive charge within the metal and the material is initially neutral. Apply a voltage to move charges between the two metallic electrodes and see what happens. You can also change the amount of transferred charge.

Note: the number of electrons and positive charges shown here are presentative, there are many many orders of magnitude more in reality.



Electric Field

The two sheets of positive and negative charges will generate an electric field. Can you explain why the electric field exists only between the two electrodes?



Distribution of Charge

Apply charge and then drag over the right box to measure the charge inside the shaded volume and get a sense of where the charge is concentrated.



Doped Semiconductors

What happens when we have a doped semiconductor on one side? For simplicity, for now, let’s consider only majority carriers and ignore minority carriers and generation/recombination. Add positive and negative charge to the semiconductor side and see how they distribute.



Electric Field inside the Semiconductor

Let’s see how screening effect works when you add positive or negative charge to the semiconductor.



Charge Distribution

Try changing the charge amount and observe what changes. What is the difference when you change the polarity of added charge?



Charge Distribution

Apply charge and then drag over the right box to measure the charge inside the shaded volume and get a sense of how the charge is distributed.





Charge Distribution

The dopant amount in the semiconductor also changes what happens when we apply a charge. Try changing the charge and dopant amount and see what relationships you notice.







Spacing