You
have learned that electrons in a semiconductor which gain the correct amount
of energy jump to the conduction
band, where they can move freely. But the action in a semiconductor
is not limited to the conduction band. Look at the valence
band in the image at the left. The valence band is no longer
full, but contains a few empty energy
states. One of those empty states has been circled in the
diagram. An electron can move into that energy state from one of
the adjacent atoms. This electron, however, can go no further.
The only empty state around it in its new location is the state from which
it came. It still looks like the valence band doesn't significantly
contribute to conduction. But appearances can be deceiving.
Individual electrons don't move large distances through the valence band;
instead, "holes" do. Once our original electron has moved into the
empty energy state next door, another electron can move into the energy
state left vacant by the original electron. This second electron
leaves a vacant state that can in turn be occupied by another electron,
and so on. Click on the image to the left to open up an animation
of this process. The net effect of all this shuffling is that an
empty energy state, called a hole,
moves through the material. This hole motion is depicted by the second
part of the animation.
In a pure semiconductor, every electron moving through the conduction band has left behind it a hole moving through the valence band, doubling the conduction. (Of course, 2 charge carriers per 1013 atoms is not much better than 1 per 1013 atoms, particularly when compared to a conductor that generally has a charge carrier associated with every atom. This is why pure silicon is such a poor conductor.) Close the previous animation, and click here to open a different animation. This new animation depicts the flow of charges through intrinsic semiconductors with both electrons and holes considered. The first part of the animation shows random motion in the absence of a voltage. The second part shows the motion in the presence of a voltage. We can visualize a voltage as a "tilting" of the wire, using gravity as an analogy for the electric force on electrons. Note that when we do this, the holes move uphill. This inclination of holes to move opposite the direction of electrons will become important as we expand our understanding of semiconductor devices.
The skeptical student will be wondering what the significance
of holes is, beyond a visual tool. After all, a hole is really the
absence of an electron, not a physical particle. The electrons are
what move, even if individual electrons don't move very far. But
scientists and engineers who study the properties of semiconductors and
devices made from them have found the hole to behave just like a particle
itself. One can measure an "effective
mass" of holes in a material, which can in turn be used just like
the mass of more tangible particles when predicting physical effects.
In general, the hole behaves like a positive electron. If a voltage
is applied, the hole moves toward the negative terminal, opposite
the direction that an electron would move. As we move into the dicussion
of doped semiconductors and the devices built out of them, we will find
the concept of holes essential to our understanding of the observed behaviors.
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Copyright © 2003 Doris Jeanne Wagner and Rensselaer Polytechnic Institute. All Rights Reserved.