We are now ready to make an actual useful device! Let's take a
piece of n-type material, and a piece of p-type material, and
stick them together, as shown in
Figure 2. This
way we will be making a
pn-junction, or
diode,
which will be our first real electric device other than a simple
resistor.
There are a couple of things wrong with Figure 2.
First of all, one of the rules regarding the Fermi level is that
when you have a system at equilibrium (that is,
when it is a rest, and is not being influenced by external
forces such as thermal gradients, electrical potentials etc.),
the Fermi level must be the same everywhere. Secondly, we have
a big bunch of holes on the right and a big bunch of electrons on
the left, and so we would expect, that in the absence of some
force to keep them this way, they will start to spread out until
their distribution is more or less equal everywhere. Finally,
we remember that a hole is just an absence of an electron, and
since an electron in the conduction band can lower the system
energy by falling down into one of the empty hole states, it
seems likely that this will happen. This process is called
recombination. The place where this is most likely
to occur, of course, would be right at the junction between the
n and p regions. This is shown in Figure 3.
Now is might seem that this recombination effect might just go
on and on, until there are no carriers left in the sample. This
is not the case however. In order to see what brings everything
to a halt, we need yet another diagram. Figure 4
is more physical than what we have been looking at so far. It is a
picture of the actual p-n junction, showing both the holes and
the electrons. We also need to put in the donors and acceptors
however, if we want to see what goes on. The fixed (can't move around)
charges of the donors and acceptors are represented by simple
"+" and "-" signs. They are arranged in a nice lattice-like
arrangement to remind us that they are stuck to the crystal
lattice. (In reality however, even though they are stuck in the
crystal lattice, there are so few of them compared to the
silicon atoms that their distribution would be quite random.)
For the mobile holes and electrons, we will stay with the little
circles with charge signs in them. These are randomly
distributed, to remind us that they are free to move about the
crystal.
We will now have to allow some of the holes and electrons (again
near the junction) to recombine. Remember, when an electron and
a hole recombine, they both are annihilated and disappear. Note
that this process conserves charge (and if we could calculate
it) momentum as well. There is obviously some energy lost, but
this will simply show up as vibrations, or heat, within the crystal
lattice. Or, in the case of an LED, as light emitted from the device. See, already we know enough about semiconductors to understand (somewhat) how an actual device works. Light comming from an LED is simply the energy which is realeased when an electron and hole recombine. We will take a look at this in more detail later. Let's allow some recombination to occur, as shown in
Figure 5.
And then in
Figure 6 some more.....
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